url stringclasses 41
values | page_number int64 1 451 | extracted_answer_choices sequencelengths 1 10 | extracted_solution stringclasses 1
value | improved_question_solution stringlengths 16 4.11k |
|---|---|---|---|---|
https://www.asi.edu.au/wp-content/uploads/2022/12/2013-asoe-chemistry-exam.pdf | 28 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | If there is evidence of collusion or other academic dishonesty, students will be disqualified. Markers' decisions are final. If there is evidence of collusion or other academic dishonesty, what will happen to students? |
https://www.asi.edu.au/wp-content/uploads/2022/12/2014-asoe-chemistry-exam.pdf | 20 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | <bold>NOT ENOUGH TEXT TO EXTRACT</bold>
What is the name of the process by which solid particles become charged when they are rubbed together?
A) Sublimation
B) Insulation
C) Friction
D) Condensation |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 11 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | 1.1.3. Prove that the sum of, or the difference between, a rational number a and an irrational number β is an irrational number. |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 11 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Prove that the product aβ and the quotient a/β of a rational number a≠0 and an irrational number β is an irrational number. |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 144 | [
"\"free response\""
] | NO ANSWER DETECTED | Compute the approximate values of: (b) sin 20°? (a) cos 5°; |
https://www.asi.edu.au/wp-content/uploads/2022/12/2014-asoe-chemistry-exam.pdf | 13 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | A 1.000 g ore sample was analysed on the same instrument. It gives an average of 20080 counts in the U-ROI and 4200 in the Th-ROI. Calculate the uranium concentration in the ore sample (in mg kg¯¹). |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 337 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | The axes of two identical cylinders with bases of radius a intersect at right angles. Find the volume of the solid constituting the common portion of the two cylinders. |
https://www.asi.edu.au/wp-content/uploads/2022/12/2017-asoe-chemistry-exam.pdf | 26 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Boiling of a solution of PtCl₂ in ethanol followed by the addition of potassium chloride produces yellow crystals of a substance first isolated in the early 19th century. These yellow crystals react vigorously with both oxygen gas and hydrogen gas but not with a silver nitrate. At the time of its discovery, elemental a... |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 144 | [
"\"free response\""
] | NO ANSWER DETECTED | Compute the approximate values of: (a) cos 5°; (b) sin 20°. |
https://www.asi.edu.au/wp-content/uploads/2022/12/2015-asoe-chemistry-exam.pdf | 7 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | 0. 1292 g iron(III) oxide is dissolved in nitric acid and made up to 250.0 mL in a volumetric flask. Calculate the chemical amount (in mol or mmol) of iron(III) oxide dissolved per litre of solution. |
https://www.asi.edu.au/wp-content/uploads/2022/12/2016-asoe-chemistry-exam.pdf | 14 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Michael wishes to use electrolysis to clean the rust from his iron antique peach peeler, and sets up an electrolytic cell. As current is applied to the cell, bubbles of oxygen gas form at the steel electrode, while the rust on the peach peeler is converted into a loose layer of a dark solid that Michael identifies as i... |
https://www.asi.edu.au/wp-content/uploads/2022/12/2017-asoe-chemistry-exam.pdf | 12 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Assuming that the remaining gas in the air is argon, the amount fraction (also known as mole fraction) is defined as the chemical amount of a substance in a mixture (in mol) divided by the total chemical amounts of all constituents of the mixture (in mol). Calculate the amount fraction of argon in the air. |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 76 | [
"\"free response\""
] | NO ANSWER DETECTED | Find the one-sided limits of the following functions as x → 0: (a) f (x) = 1/(2 - 2^{1/x}); (b) f (x) = e^{1/x}; (c) f (x) = |sin x| as x → 0. |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 237 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | To solve the integral involving hyperbolic functions, keep in mind that the integration of functions rationally depending on hyperbolic functions can be handled in a way similar to trigonometric functions. For the integral ∫ dx sinh x cosh x, it is useful to remember the identity sinh x cosh x = ½ sinh(2x).
Find the i... |
https://www.asi.edu.au/wp-content/uploads/2022/12/2016-asoe-chemistry-exam.pdf | 25 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | The identity of the cation can be elucidated by adding fluoride ions to a solution of the unknown salt, forming a precipitate of MF4·H2O. 2.2179 g of the original unknown salt is dissolved and NaF is added until there is no further precipitation. The solid is filtered, washed and dried, and has a mass of 1.4843 g. (k) ... |
https://www.asi.edu.au/wp-content/uploads/2022/12/2013-asoe-chemistry-exam.pdf | 9 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | The overall redox equation for the reaction between the iodate (IO3¯) ions and ascorbic acid is as follows:
3 Asc + IO3¯ ⇌ 3 DAsc + I + 3 H2O
Write the oxidation half-equation and the reduction half-equation for the reaction between iodate ions and ascorbic acid. |
https://www.asi.edu.au/wp-content/uploads/2022/12/2014-asoe-chemistry-exam.pdf | 25 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | If the stationary phase was permanently positively charged, which amino acid would elute last? Justify your answer. |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 237 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Find the integrals:
(a) ∫ sinh² x cosh² x dx;
(b) ∫ dx sinh x cosh x.
Find the integral ∫ sinh² x cosh² x dx. |
https://www.asi.edu.au/wp-content/uploads/2022/12/2012-asoe-chemistry-exam.pdf | 27 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | ClF3 has the following T-shaped structure. It has six vibrational modes, none of which are degenerate. How many of these will be IR active? |
https://www.asi.edu.au/wp-content/uploads/2022/12/2016-asoe-chemistry-exam.pdf | 20 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Mn+ reacts with I- to form M(n-1)+ and I2, according to the following balanced chemical equation: 2 Mn+ + 2 I → 2 M(n-1)+ + I2. (a) Write the oxidation and reduction half equations for this reaction. |
https://www.asi.edu.au/wp-content/uploads/2022/12/2013-asoe-chemistry-exam.pdf | 11 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Said chemist then carefully placed a sample of solid caesium in the beaker and some of the kerosene overflowed out of the beaker. She then weighed the beaker and it turned out to weigh 717.49 g. When she removed the caesium and reweighed the beaker with less kerosene in it, she found that it weighed 575.57 g. What volu... |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 184 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Since f'(x) = 1 + eˣ > 0; f ( − ∞) = − ∞; f (+∞)=+∞, the given equation has only one real root. Determine the number of real roots of the equation f (x) = x + eˣ = 0. |
https://www.asi.edu.au/wp-content/uploads/2022/12/2011-asoe-chemistry-exam.pdf | 18 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Given that the force constant is 516 N m¯¹, determine the energy required for the v = 0→1 transition of 'HCl (in J).
Determine the energy required for the v = 0→1 transition of 'HCl, given that the force constant is 516 N m¯¹ (in J). |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 184 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | **An approximate value of the root of the equation f (x) = x⁴ - x - 1 = 0 is x = 1.22. Given that f (x) at x = 1.22 is approximately -0.0047 and at x = 1.23 is approximately 0.0588, estimate the absolute error in this root.** |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 337 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | On all chords (parallel to one and the same direction) of a circle of radius R symmetrical parabolic segments of the same altitude h are constructed. The planes of the segments are perpendicular to the plane of the circle. Find the volume of the solid thus obtained. |
https://www.asi.edu.au/wp-content/uploads/2022/12/2011-asoe-chemistry-exam.pdf | 13 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Elements B, C and K are also metals. They do not react with cold S2Q but do react with Q2 to form BQ, C2Q3 and KQ respectively. Of these, KQ contains the largest percentage of Q by mass. Identify elements B, C and K. |
https://www.asi.edu.au/wp-content/uploads/2022/12/2015-asoe-chemistry-exam.pdf | 16 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Another polymer polybutadiene is formed by the radical polymerisation of butadiene, shown below. As butadiene has two double bonds, there are two possible ways that it can polymerise. Draw a segment of polymer showing both the ways butadiene can polymerise. |
https://www.asi.edu.au/wp-content/uploads/2022/12/2016-asoe-chemistry-exam.pdf | 14 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Michael decides to compare this value to a table of equivalent weights. He discovers that iron actually has an equivalent weight of 18.6. Curious to work out where he went wrong, Michael researches the chemistry of electrolytic rust removal. He finds that the black solid is in fact a mixture of iron and magnetite (an o... |
https://www.asi.edu.au/wp-content/uploads/2022/12/2014-asoe-chemistry-exam.pdf | 25 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Following the elution of the first two amino acids, the last amino acid can be pushed off the column by adjusting the pH. Should the pH be increased or decreased? Justify your answer. |
https://www.asi.edu.au/wp-content/uploads/2022/12/2011-asoe-chemistry-exam.pdf | 13 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | 10.00 g of an unknown metal, X, reacts completely with 3.335 L of Q2 gas to form a compound of X and Q. 10.00 g of the metal can react with 6.670 L of G2 to form a compound of X and G or with 1.334 L of Q2 and 4.002 L of G2 to form a compound containing X, Q and G. Note that these gas volumes are all measured at 25°C a... |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 276 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Compute the integrals: (a) ∫ x² √a²-x² dx; (b) ∫ dx/√(1+x²)^3. |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 11 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Any number, with zeros standing in all decimal places numbered 10^n and only in these places, does not have periodic decimal fractions due to the absence of repeating digits. This characteristic establishes that such a number cannot be expressed as a ratio of two integers.
Prove that any number, with zeros standing i... |
https://www.asi.edu.au/wp-content/uploads/2022/12/2016-asoe-chemistry-exam.pdf | 19 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | The reaction proceeds through an intermediate with a similar structure to Al2Cl6. Draw the structure of this intermediate. |
https://www.asi.edu.au/wp-content/uploads/2022/12/2011-asoe-chemistry-exam.pdf | 11 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Elements I, O and P are unreactive monatomic gases. O has the smallest atomic radius of the three, and I has a higher boiling point than P. Identify elements I, O and P. |
https://www.asi.edu.au/wp-content/uploads/2022/12/2015-asoe-chemistry-exam.pdf | 14 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Nylon 12 is produced using a different monomer than that used in Nylon 4,4 or 6,6. What is the structure of the monomer given the polymer? |
https://www.asi.edu.au/wp-content/uploads/2022/12/2013-asoe-chemistry-exam.pdf | 11 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Said chemist then carefully placed a sample of solid caesium in the beaker and some of the kerosene overflowed out of the beaker. She then weighed the beaker and it turned out to weigh 717.49 g. When she removed the caesium and reweighed the beaker with less kerosene in it, she found that it weighed 575.57 g. What did ... |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 267 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | F(x) = ∫₁ˣ √1+t⁴ dt. Find the derivative with respect to x of the following function F(x). |
https://www.asi.edu.au/wp-content/uploads/2022/12/2012-asoe-chemistry-exam.pdf | 27 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | (k) The table below shows 4 vibrational modes of SO3 (again, arrows indicate displacement of the atoms involved; + and – symbols indicate displacement out of and into the plane of the page respectively). Indicate which of these will be IR active by filling out the right-hand column.
Vibration type: symmetric stretch, ... |
https://www.asi.edu.au/wp-content/uploads/2022/12/2017-asoe-chemistry-exam.pdf | 19 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | An important property of metallic elements is their ability to bond to one or more molecules or ions to form metal complexes. Metal complexes may have an overall positive, negative or neutral charge depending on the charge on the metal and which molecules or ions are bound to it. Originally, many compounds now understo... |
https://www.asi.edu.au/wp-content/uploads/2022/12/2016-asoe-chemistry-exam.pdf | 24 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | To determine the total amount of oxygen present in the sample, 1.2341 g of the original unknown salt (MxAy.zH2O) is heated to 3000 °C in a graphite crucible. The oxygen reacts with the carbon to form carbon monoxide, which is collected and has a mass of 1.0870 g. Calculate the number of oxygen atoms present per a formu... |
https://www.asi.edu.au/wp-content/uploads/2022/12/2017-asoe-chemistry-exam.pdf | 23 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Werner's data shows that CoCl3:6NH3 dissociates into 4 ions, CoCl3:5NH3 into 3 ions, and CoCl3:4NH3 into 2 ions, but the data for CoCl3:3NH3 is missing. Predict the number of ions present in CoCl3:3NH3. |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 11 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Suppose x and y = √(x²+x+3) are rational numbers. Then the difference y-x=q is also a rational number. Let us now express x through q. y-x = √(x²+x+3)-x=q, √(x²+x+3)=q+x, x²+x+3=q²+2qx + x², x=q²-3. Find all rational values of x at which y = √(x²+x+3) is a rational number. |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 267 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Find the derivative with respect to x of the following function F(x) = ∫₀²ˣ sin t/t dt; (b) F(x) = ∫₁ˣ √1+t⁴ dt. |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 11 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | The number 0.1010010001...1000...01... is irrational. To prove this, it is necessary to ascertain that the given decimal fraction is not a periodic one. Indeed, there are n zeros between the nth and (n+1)th unities, which cannot occur in a periodic fraction. Prove that the number 0.1010010001...1000...01... is irration... |
https://www.asi.edu.au/wp-content/uploads/2022/12/2011-asoe-chemistry-exam.pdf | 21 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Determine the number of vibrational degrees of freedom for this molecule. |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 246 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | For the integral ∫_0^π sin x dx, find the upper and lower integral sums corresponding to the division of the closed interval [0, π] into 3 and 6 equal subintervals. |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 34 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Sketch the graph of the function y = x sin x. |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 184 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | To solve graphically the equation x log x - 1 = 0, let us rewrite the equation in the form log x = 1 / x.
Solve graphically the equation x log x - 1 = 0. |
https://www.asi.edu.au/wp-content/uploads/2022/12/2016-asoe-chemistry-exam.pdf | 14 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Michael then wonders whether he can use his cell to work out the equivalent weight of iron. He brushes the black solid from the peach peeler, and finds that it has a mass of 19.06 g. Calculate the equivalent weight of iron based on Michael's experiment. |
https://www.asi.edu.au/wp-content/uploads/2022/12/2014-asoe-chemistry-exam.pdf | 25 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Size-exclusion chromatography separates organic compounds based on physical size, rather than polarity. The stationary phase used in size exclusion chromatography consists of beads of a certain pore size that allows large molecules to pass, while retaining small molecules. In this technique, the sample mixture is passe... |
https://www.asi.edu.au/wp-content/uploads/2022/12/2011-asoe-chemistry-exam.pdf | 18 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | The extracted text discusses the energy required for vibrational transitions in molecules, particularly the HCl molecule, and describes how changes in dipole moments affect infrared spectroscopy. It includes considerations of vibrational degrees of freedom and the significance of dipole moments in molecular vibrations.... |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 322 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Find the area bounded by the parabola y = x² - 2x + 2, the line tangent to it at the point M (3, 5), and the axis of ordinates. |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 143 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | The function f (x) = ex has a derivative of any order, and so it is continuous and has continuous derivatives through order n-1 on the interval [-1, 1]. The number of terms needed can be determined by ensuring the polynomial representation is accurate to three decimal places on this interval. How many terms in the Macl... |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 386 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Let f(x) and g(x) be defined for all x ≥ a and integrable on each interval [a, A], A ≥ a. If 0 < f(x) ≤ g(x) for all x ≥ a, then from the convergence of the integral ∫g(x)dx, it follows that the integral ∫f(x)dx is also convergent, and ∫f(x)dx < ∫g(x)dx.
What does the comparison test state about the integrals of f(x) ... |
https://www.asi.edu.au/wp-content/uploads/2022/12/2016-asoe-chemistry-exam.pdf | 15 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Ammonia, like many compounds, obeys the octet rule. Ammonia is a Brønsted-Lowry base because it can readily react with a hydrogen ion to form the ammonium ion. Another more general theory of acids and bases is Lewis theory. A Lewis base can donate a lone pair and a Lewis acid can accept a lone pair. Thinking about ammo... |
https://www.asi.edu.au/wp-content/uploads/2022/12/2015-asoe-chemistry-exam.pdf | 21 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Faraday also confirmed his results by detonating the benzene vapour in pure oxygen. Write an equation for complete combustion of (i) carbon, (ii) hydrogen, and (iii) benzene vapour in excess oxygen. |
https://www.asi.edu.au/wp-content/uploads/2022/12/2013-asoe-chemistry-exam.pdf | 9 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Tracey makes up a copper(II) perchlorate solution by dissolving 3.131 g of the synthesised copper(II) perchlorate in acetonitrile in a 500.0 mL volumetric flask. Tracey also dissolves one Vitamin C tablet in acetonitrile in a 250.0 mL volumetric flask. 20.00 mL aliquots of this ascorbic acid solution are titrated with ... |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 164 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | In a given cone, inscribe a cylinder having the greatest lateral surface so that the planes and centres of the base circles of the cylinder and cone coincide. |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 399 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | **Page 1**
**§ 8.2. Improper Integrals of Unbounded Functions**
Proceeding from the definition, evaluate the following improper integrals (or prove their divergence):
(a) ∫π/3 e (2 dx);
(b) ∫0 2 x ln x dx;
(c) ∫1 3 √(4x - x² - 3) dx;
(d) ∫0 1 √(1 - x²) dx;
(e) ∫1 5 x³ / (x - 2) dx;
(f) ∫1 3 x³ / (1 - x³)... |
https://www.asi.edu.au/wp-content/uploads/2022/12/2015-asoe-chemistry-exam.pdf | 13 | [
"\"Ο\"",
"\"HO\"",
"\"CI\"",
"\"H2N\""
] | NO ANSWER DETECTED | Before we start examining polymers, let us start by looking at some smaller molecules with the same functional groups. We are mostly interested in esters and amides for condensation polymerisation. We can use a wide variety of functional groups to make esters and amides, but the reaction is similar. (a) What is the oth... |
https://www.asi.edu.au/wp-content/uploads/2022/12/2016-asoe-chemistry-exam.pdf | 15 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | The black solid has a mass of 19.06 g and is a mixture of iron and magnetite (an oxide of iron). The equivalent weight of iron is 18.6, while magnetite has an equivalent weight of 232. Using the correct values for the relevant equivalent weights, calculate the masses of magnetite and iron metal in the black solid. (Hin... |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 267 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | F(x) = ∫₁/ˣ cos(t²) dt (x > 0).
Find the derivative with respect to x of the following function F(x) = ∫₁/ˣ cos(t²) dt (x > 0). |
https://www.asi.edu.au/wp-content/uploads/2022/12/2013-asoe-chemistry-exam.pdf | 11 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | She found a 500 mL beaker that weighed 234.10 g. She filled it to the brim with kerosene, which consists mainly of the hydrocarbon dodecane (C12H26). Kerosene has a density of 0.7493 g cm³. The beaker with kerosene was found to weigh 633.70 g. Now, she knew that beakers were not meant to be used for quantitative measur... |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 184 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | **§ 3.12. Algebr. and Transcendent. Equations**
**3.12.1. Locate the roots of the equation**
<bold>f (x) = x³-6x + 2 = 0.</bold>
<bold>From this table we draw the conclusion that the equation has three real roots lying in the intervals (-3, -1), (0, 1) and (1, 3).</bold>
**3.12.2. Determine the number of real r... |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 332 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Compute the area of the region enclosed by the curve p = a cos φ, as discussed in section 7.5.2.
Question: Compute the area of the region enclosed by the curve p = a cos φ. |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 368 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | A rectangular vessel is filled with equal volumes of water and oil; water is twice as heavy as oil. Show that the force of pressure of the mixture on the wall will reduce by one fifth if the water is replaced by oil. |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 80 | [
"\"free response\""
] | NO ANSWER DETECTED | The function E (x) is defined as the maximum integer n contained in the number x, i.e. as a number satisfying the inequality n ≤ x. The extracted text also indicates that the function E (x) is defined throughout the entire number scale and takes on only integral values. This function is discontinuous at every integral ... |
https://www.asi.edu.au/wp-content/uploads/2022/12/2011-asoe-chemistry-exam.pdf | 8 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | As a solution passes through the silver reductor, cations in solution are reduced while the silver metal is oxidised to solid silver chloride (AgCl). Write a half-equation for the oxidation of silver metal to silver chloride in the presence of chloride ions. |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 164 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Given a point (1, 2) in the orthographic coordinates. Through this point, draw a straight line so that it forms, together with the positive semi-axes, a triangle of the least area.
How do you draw this straight line? |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 322 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | The equation of the tangent at the point M (2, -5) has the form y + 5 = -6(x - 2) or y = 7 - 6x. Since the branches of the parabola are directed downward, the parabola lies below the tangent, that is, 7 - 6x - (-x² - 2x + 3) on the interval [0, 2].
Find the area of the figure bounded by the parabola y = -x² - 2x + 3,... |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 35 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Sketch the graph of the function y = x (x² - 1) by multiplying the ordinates of the graphs y₁ = x and y = x² - 1.
1.5.7. Sketch the graph of the function y = x (x² - 1) by multiplying the ordinates of the graphs y₁ = x and y = x² - 1. |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 162 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | It is required to construct an open cylindrical reservoir of capacity Vo. The thickness of the material is d. What dimensions (the base radius and height) should the reservoir have so as to ensure the least possible expenditure of the material? |
https://www.asi.edu.au/wp-content/uploads/2022/12/2016-asoe-chemistry-exam.pdf | 15 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Michael then wonders whether he can use his cell to work out the equivalent weight of iron. He brushes the black solid from the peach peeler, and finds that it has a mass of 19.06 g. Curious to work out where he went wrong, Michael researches the chemistry of electrolytic rust removal. He finds that the black solid is ... |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 168 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | The second derivative can be expressed as y" = 12ax^2 + 6bx + 2c. The curve has points of inflection if and only if the equation 6ax^2 + 3bx + c = 0 has different real roots, i.e. when the discriminant 9b^2 - 24ac > 0, or 3b^2 - 8ac > 0. What conditions must the coefficients a, b, c satisfy for the curve y= ax^4 + bx^3... |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 407 | [
"\"A: ∫ dx from 0 to xlnx\"",
"\"B: ∫ dx from 1 to x√lnx\"",
"\"C: ∫ dx from 0 to x³√x²\""
] | NO ANSWER DETECTED | 1. Evaluate the following improper integrals (or prove their divergence):
(a) ∫ dx from 0 to 1 for x ln x
(b) ∫ dx from 0 to 1 for x √ln x
(c) ∫ 3x² + 2 dx from 0 to 1. |
https://www.asi.edu.au/wp-content/uploads/2022/12/2016-asoe-chemistry-exam.pdf | 19 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Aluminium chloride forms a dimer (Al2Cl6) in the liquid phase with a structure similar to diborane. Unlike diborane however, the dimer of aluminium chloride has no 3-centre-2-electron bonds. Draw the structure of the dimer of aluminium chloride (Al2Cl6), indicating the correct type of bonding. |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 195 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | 4.1.2. I = ∫ (6x² + x − 2x + 1) / (2x − 1) dx.
What is the value of the integral I = ∫ (6x² + x − 2x + 1) / (2x − 1) dx? |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 379 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Theorem 2 states that the volume of a solid obtained by revolving a plane figure about some axis lying in the plane of the figure and not intersecting it is equal to the product of the area of this figure by the circumference of the circle described by the centre of gravity of the figure. Prove the following theorems (... |
https://www.asi.edu.au/wp-content/uploads/2022/12/2014-asoe-chemistry-exam.pdf | 1 | [
"\"free response\""
] | NO ANSWER DETECTED | **Page 2**
* **Time Allowed:**
* **Reading Time: 10 minutes**
* **Examination Time: 120 minutes**
What time is allowed for reading in the Australian Science Olympiad Exam? |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 332 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Find the area of the figure cut out by the circle p = √3 sin φ from the cardioid p = 1 + cos φ. To this end, solve the system with the equations p = √3 sin φ and p = 1 + cos φ, encompassing the points of intersection of these curves.
Find the area of the figure cut out by the circle p = √3 sin φ from the cardioid p =... |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 369 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | A rectangular vessel is filled with equal volumes of water and oil; water is twice as heavy as oil. Since the oil is situated above the water and occupies the upper half of the vessel, show that the force of pressure of the mixture on the wall will reduce by one fifth if the water is replaced by oil.
Show that the fo... |
https://www.asi.edu.au/wp-content/uploads/2022/12/2017-asoe-chemistry-exam.pdf | 11 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | The amount fraction (also known as mole fraction) is defined as the chemical amount of a substance in a mixture (in mol) divided by the total chemical amounts of all constituents of the mixture (in mol). Calculate the percentage by mass of N2 in the air. |
https://jeeadv.ac.in/past_qps/2010_2.pdf | 3 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | A sample of a different mineral is analysed by the same methods. This mineral also contains only Pb2+, CO3 2−, OH− and O2− ions. When a 5.000 g sample of this mineral is treated with 25.00 mL of 2.000 mol L−1 nitric acid (HNO3), 0.5214 g of carbon dioxide is released, and 0.01051 mol of the acid remains. When subjected... |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 58 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | To prove that lim cos x does not exist as x approaches +∞.
Here's the relevant context: In the text, it states, "Prove that lim cos x does not exist."
Prove that lim cos x does not exist as x approaches +∞. |
https://www.asi.edu.au/wp-content/uploads/2022/12/2017-asoe-chemistry-exam.pdf | 8 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | To determine the percentage by mass of oxygen gas in air, an excess of copper is added to a sealed 25.00 L container filled with air. This is heated and the oxygen reacts with the copper to form copper(II) oxide. Upon complete reaction, the mass of the remaining gas is found to be 72.40 g. Calculate the mass of copper(... |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 263 | [
"\"free response\""
] | NO ANSWER DETECTED | Since for 0 < x < 1 there exists the inequality 1 < e^x² < e, then
∫dx < ∫e^x² dx < ∫e dx.
Hence, the inequality under consideration holds true. Prove the inequalities: (a) 0 < ∫(x²/ (1+x⁸)) dx < 1/8 ; (b) 1 < ∫e^x² dx < e. |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 275 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Make the substitution x = 2 sec t; dx = 2 sin t/ cos² t dt; On the interval [0, π/3] the function 2 sec t is monotonic, therefore the substitution is valid. Compute the integral ∫ (x² - 4)/x⁴ dx. |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 380 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | An equilateral triangle with side a revolves about an axis parallel to the base and situated at a distance b a from the base. The volume V of the solid obtained by this revolution is made by applying Guldin's theorems. Find the volume of the solid of revolution. |
https://www.asi.edu.au/wp-content/uploads/2022/12/2016-asoe-chemistry-exam.pdf | 15 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Ammonia, like many compounds, obeys the octet rule. Ammonia is a Brønsted-Lowry base because it can readily react with a hydrogen ion to form the ammonium ion. Another more general theory of acids and bases is Lewis theory. A Lewis base can donate a lone pair and a Lewis acid can accept a lone pair. Thinking about ammo... |
https://www.asi.edu.au/wp-content/uploads/2022/12/2014-asoe-chemistry-exam.pdf | 12 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | A 1.000 g ore sample was analysed on the same instrument. It gives an average of 20080 counts in the U-ROI and 4200 in the Th-ROI. 1) Calculate the uranium concentration in the ore sample (in mg kg¯¹). m) Calculate the number of counts in the Th-ROI resulting from the uranium concentration calculated in part 1). n) Cal... |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 369 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Calculate the work performed in pumping the water out of a semispherical boiler of radius R. |
https://www.asi.edu.au/wp-content/uploads/2022/12/2012-asoe-chemistry-exam.pdf | 26 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | We would expect “linear SO2" to have four vibrational modes, as shown above, however in practice two of these vibrational modes are of equal energy. Such vibrational modes are called degenerate and give rise to a single absorption in the IR spectrum. How many absorptions in the IR spectrum would you expect for “linear ... |
https://www.asi.edu.au/wp-content/uploads/2022/12/2016-asoe-chemistry-exam.pdf | 19 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | When boron trifluoride and boron trichloride are mixed as gases, a mixture of four gases forms, including some boron trifluoride and boron trichloride. The resultant mixture cannot be purified back to boron trifluoride and boron trichloride. The reaction proceeds through an intermediate with a similar structure to Al2C... |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 333 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | The area in question is defined in terms of two polar curves: the cardioid given by the equation ρ = a (1 - cos φ) and the circle defined by ρ = a. The specific area requested is one that is enclosed by these two curves.
Find the area of the figure bounded by the cardioid ρ = a (1 - cos φ) and the circle ρ = a. |
https://www.asi.edu.au/wp-content/uploads/2022/12/2015-asoe-chemistry-exam.pdf | 21 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Faraday also confirmed his results by detonating the benzene vapour in pure oxygen. Faraday gives us an account of his experimental detonation of a mixture of 1 part benzene vapour with 19.6 parts oxygen gas. Not all the oxygen is used up, since the 19.6 parts of oxygen is in excess. 7 volumes of this mixture were deto... |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 195 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Expanding the integrand by the binomial formula, we find
I = ∫ (3x + 5)¹¹ dx.
What is I = ∫ (3x + 5)¹¹ dx? |
https://www.asi.edu.au/wp-content/uploads/2022/12/2010-asoe-chemistry-exam.pdf | 22 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | The iodoform test was performed on the following compound B. Decolourisation but no yellow precipitate was observed.
Suggest why this occurred. |
https://www.asi.edu.au/wp-content/uploads/2022/12/2015-asoe-chemistry-exam.pdf | 13 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | The nylons are a familiar group of polymers to many people as they are used widely in clothing. Some can be synthesised by using a diamine and a dicarboxylic acid. For example, Nylon 6,6 is synthesised as below. The 6,6 indicates the number of carbons in the diamine and the number of carbons in the dicarboxylic acid re... |
https://ia801305.us.archive.org/8/items/ProblemsInCalculusOfOneVariableI.A.Maron/Problems%20in%20Calculus%20of%20One%20Variable%20-%20I.%20A.%20Maron.pdf | 104 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | The function y = xe^(-x) satisfies the equation xy' = (1-x) у.
2.2.11. Show that the function y = xe^(-x) satisfies the equation xy' = (1-x) у. |
https://www.asi.edu.au/wp-content/uploads/2022/12/2011-asoe-chemistry-exam.pdf | 8 | [
"NO CHOICES AVAILABLE"
] | NO ANSWER DETECTED | Dendritic crystals of silver are formed when copper metal is added to a solution of silver nitrate (AgNO3). The copper metal forms Cu2+ ions and displaces silver from solution. Write two balanced ionic half-equations and a redox equation for the reaction between copper metal and a silver nitrate solution. |
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