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# ♪ Do Re Mi Fibonacci ♫ My whole life I’ve been musical. My passion started when my mum bought me a harmonica and a second hand keyboard. I fell involve with music and have played an instrument ever since I was 8 years old. I started with the keyboard then progressed to cello, guitar, singing and saxophone. I did gra...
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# How do you integrate 2/x? ##### 1 Answer Oct 20, 2016 $\int \frac{2}{x} \mathrm{dx} = 2 \ln \left\mid x \right\mid + C$ #### Explanation: You need to know that $\int \frac{1}{x} \mathrm{dx} = \ln | x |$ So, $\int \frac{2}{x} \mathrm{dx} = 2 \ln x + C$, where $C$ is the constant of integration.
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Comment Share Q) # If 2p=5q=6r then, p=q=r is equal to? If 2p=5q=6r then, p=q=r is equal to? Comment A) Let # 2P = 5Q = 6R=x so p=x/2 q=x/5 r=x/6 lcm of 2,5,6 is 30 hence P:q:R=x/2*30:x/5*30:x/6*30 P:Q:R=15:6:5
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Disponível somente no TrabalhosFeitos • Páginas : 6 (1301 palavras ) • Publicado : 24 de outubro de 2012 Amostra do texto The number 26, between 25 and 27 Resolution of the diophantine equation y 3 − x2 = 2 Axel Gougam & Julien Baglio May 28, 2006 Abstract only integer which is at a discrete distance of one from a sq...
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228_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1 # 228_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1 This preview shows page 1. Sign up to view the full content. This is the end of the preview. Sign up to access the rest of the document. Unfor...
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{[ promptMessage ]} Bookmark it {[ promptMessage ]} # HW2 - y tan θ-0 = tan(tan θ ⇒ d dθ ± R tan θ sec 2... This preview shows pages 1–2. Sign up to view the full content. Math 191 Problem Set 2 Solutions 5.3: 2. R 0 - 1 2 x 3 dx 5.3: 6. R 1 0 4 - x 2 dx 5.3: 14. (a) R 3 1 h ( r ) dr = R 3 - 1 h ( r ) dr - R - 1 1...
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  TOPICS Exercise - 1.5 Question-1 :-  Classify the following numbers as rational or irrational: (i) 2 - √5, (ii) (3+√23) - √23, (iii) 2√7/7√7, (iv) 1/√2, (v) 2π Solution :- ```(i) 2 - √5 = 2 - 2.236067... = 0.236067 As the decimal expansion of this expression is non-terminating non-recurring, therefore, it is an...
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A $199 MP3 player is on sale for 15% off. What is the discounted price? 1 Answer May 21, 2018 $199 is the total price of the MP3 player... which means it's the 100% of the player 15% off means 100%-15%=85% of the total value To find it out multiply Remember a%=a/100 15%" off of "$199 =$199xx85/100 Now if you've a...
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## At A Glance ### The Pythagorean Theorem - Quiz Check out Bas Rutten's Liver Shot on MMA Surge: http://bit.ly/MMASurgeEp1 In this video, Mahalo math expert Allison Moffett shows you how to calculate the pythagorean theorem. Question --------------------------------------------------------------------- Using the Pyt...
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# Cho 1/c=1/2 (1/a+1/b) ( vs a,b,c ≠0, b≠c). CMR a/b=a-c/c-b Giúp mk vs, hết điểm r By Alice Cho 1/c=1/2 (1/a+1/b) ( vs a,b,c ≠0, b≠c). CMR a/b=a-c/c-b Giúp mk vs, hết điểm r ### 0 bình luận về “Cho 1/c=1/2 (1/a+1/b) ( vs a,b,c ≠0, b≠c). CMR a/b=a-c/c-b Giúp mk vs, hết điểm r” 1. thanhmai 1/c=1/2(1/a+1/b) ⇒2/c=1/...
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A woman walks into a restaurant and pays the dinner tabs of everyone in the place, and tips each server \$50. Many of the comments on the article complain that the \$50 tip is less than 10 percent, and say that the woman “screwed” the servers. I don’t see how it is screwing anyone when a person receives a \$50 tip for ...
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## Extra Questions of Class 10 Maths Chapter 8 Introduction to Trigonometry PDF Download We have provided you with Extra and Important Questions from Class 10 Maths Chapter 8 Introduction to Trigonometry. This Extra and Important Questions will help you to score 100% in your Board Exams. These extra questions will be ...
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# Pre-Calc (Follow-up with Bob Pursley) posted by . For the below problem, I solved it as you suggested and got k=.0486 When I did 300,000 = 122,000e^.0486t I got about 18.5 years for when the sewer system would need to be updated. Next, for how many people will the new system have to accommodate for the system to...
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# 37857 (number) 37,857 (thirty-seven thousand eight hundred fifty-seven) is an odd five-digits composite number following 37856 and preceding 37858. In scientific notation, it is written as 3.7857 × 104. The sum of its digits is 30. It has a total of 2 prime factors and 4 positive divisors. There are 25,236 positive ...
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# Paper Rose Boutonnière 565 7 2 ## Introduction: Paper Rose Boutonnière I've recently gotten into origami as a great way to make beautiful, but cheap decorations to spice up my tiny college dorm room. Here's a rather complex paper rose that completely bamboozled me the first time I tried to make it. Now that I've...
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# Largest number of pairs that can be added while keeping the population at least 60% male I'm doing problems from the AoPS Algebra Beginner's book. There's this problem that states the following, At her ranch, Georgia starts an animal shelter to save dogs. After the first three days, she has 34 male dogs, and 13 fe...
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# Fundamental theorem of linear programming In mathematical optimization, the fundamental theorem of linear programming states, in a weak formulation, that the maxima and minima of a linear function over a convex polygonal region occur at the region's corners. Further, if an extreme value occurs at two corners, then i...
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• Resource ID: A2M3L3 • Subject: Math ### Transformations of Square Root and Rational Functions Given a square root function or a rational function, the student will determine the effect on the graph when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values. • Resource I...
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This is documentation for Mathematica 7, which was based on an earlier version of the Wolfram Language. # VectorScale VectorScale is an option to VectorPlot, ListVectorPlot and related functions that determines the length and arrowhead size of field vectors that are drawn. Automatic automatic setting based on the l...
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##### Suppose a girl throws a die. If she gets a 5 or 6, she tosses a coin three times and notes the number of heads. If she gets 1, 2, 3 or 4, she tosses a coin once and notes whether a head or tail is obtained. If she obtained exactly one head, what is the probability that she threw 1, 2, 3 or 4 with the die? Given:...
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# Find all positive integers $n > 1$ such that the polynomial $P(x)$ belongs to the ideal generated by the polynomial $x^2 +x +1$ in $\Bbb Z_n[x]$ Find all positive integers $n > 1$ such that the polynomial $x^4 + 3x^3 + x^2 + 6x + 10$ belong to the ideal generated by the polynomial $x^2 + x + 1$ in $\Bbb Z_n[x]$. My...
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# Identify Number 10 Worksheet on identify number 10 helps the kids to recognize the number. Here the kids need to circle all the number 10’s. Kid’s needs to recognize number 10 from the bunch of numbers which increase the skills to visualize the numbers. This worksheet helps the preschoolers to discriminate the corre...
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# a) The domain of the function.b) Ordered pairs for all intercepts.c) Equations for all vertical/horizontal asymptotes, if they existd) Intervals where the function is increasing/decreasinge) Ordered pairs for all local extremaft) Intervals where the function is concave upward/concave downwardg) Ordered pairs for all ...
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HW+9+solution (1) # HW+9+solution (1) - MechEng 382 Winter 2010 Homework#9... This preview shows pages 1–3. Sign up to view the full content. This preview has intentionally blurred sections. Sign up to view the full version. View Full Document This is the end of the preview. Sign up to access the rest of the docume...
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Cody # Problem 729. Flag largest magnitude swings as they occur Solution 779241 Submitted on 16 Nov 2015 by Brian Butler This solution is locked. To view this solution, you need to provide a solution of the same size or smaller. ### Test Suite Test Status Code Input and Output 1   Pass %% delta = [1 -3 4 2 -1 6 -2...
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# Digit problem #### paulmdrdo ##### Active member can you help me solve this just using one variable the sum of two numbers is 9 and their difference is 6. what are the numbers? thanks! #### Evgeny.Makarov ##### Well-known member MHB Math Scholar the sum of two numbers is 9 and their difference is 6. what are th...
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Chapter 10, Problem 12PS ### Calculus (MindTap Course List) 11th Edition Ron Larson + 1 other ISBN: 9781337275347 Chapter Section ### Calculus (MindTap Course List) 11th Edition Ron Larson + 1 other ISBN: 9781337275347 Textbook Problem # Arc Length A particle is moving along the path described by the parametric e...
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Open in App Not now # Stack | Set 4 (Evaluation of Postfix Expression) • Difficulty Level : Easy • Last Updated : 22 Aug, 2022 The Postfix notation is used to represent algebraic expressions. The expressions written in postfix form are evaluated faster compared to infix notation as parenthesis is not required in pos...
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#### Topics 1. If a point C lies between two points A and B such that AC = BC, then prove AC = ½ AB. Explain by drawing the figure : AC = BC AC + AC = BC + AC [ Equals are added to equally. 2AC = AB [ BC + AC coincides with AB ] AC = ½ AB. 2. If a point C lies between two points A and B such that AC = BC, then prove...
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## Question Use the Laplace Transform to solve the initial-value problem: y''+2y'+y=delta(t-2); y(0)=0, y'(0)=0. y''+2y'+y=delta(t-2), y(0)=0,y'(0)=0. Take Laplace transform of both sides: L(y''+2y'+y)=L(delta(t-2)). L(y'')+2L(y')+L(y)=L(delta(t-2)). Using the following formulas: L(y'')=s^2Y(s)-sy(0)-y'(0), L(y')...
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Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack It is currently 22 May 2017, 09:25 ### GMAT Club Daily Prep #### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Dail...
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The Nation Has Problems: Vol. 11 Hi Everybody! After being gone for a while, I'm back here with a quick edition of The Nation Has Problems for pledge week. I didn't have a lot of time to put things together, but I came up with something that should be pretty fun! Probability questions are always good for people that ...
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How is the domain of a graph written? How is the domain of a graph written? Hence the domain, in inequality notation, is written as The graph is made up of three parts. The left part is defined for all values of x between – 4 and – 2. The part in the center is defined on the interval x > 0 and x ≤ 4. The part on the ...
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What does 2 to the power of 5 mean? Tracie Meola asked, updated on December 31st, 2021; Topic: the power of two πŸ‘ 194 πŸ‘ 4 β˜…β˜…β˜…β˜…β˜†4.3 the power of 4 just means that number multiplied by itself 4 times. e.g 2 to the power of 4 = 2x2x2x2 = 16. 2 to the power of 5 = 2x2x2x2x2 = 32 and so on. So anyway, how...
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A cannon barrel is elevated at an angle of 45°. It fires a ball with a speed of 250 m/s. (For the following questions, ignore air resistance.) (a) What height does the ball reach? m (b) How long is the ball in the air? s (c) What is the horizontal range of the cannon? kmp h=vvertical*time-1/2 g t^2 h=0=250*.707*t-...
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# Find the cement bags, sand(CFT) & aggregate in M20, M15 concrete ## Calculate the Quantity of Cement, Sand & Aggregate in M20 Concrete First of all, I want to assure you that it is very easy to determine the quantity of sand, cement, and aggregate in M20, M15, and M10 Concrete. So take a look carefully and will eas...
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# Products of Simplicial Complexes On the page about graph theory here we see that there are two ways we can take the product of graphs, the tensor product and the Cartesian product. Since simplicial complexes are a generalisation of graphs I would like to find and equivalent of these products for simplicial complexes...
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# Finding the equation of tangent and normal • Mar 5th 2009, 06:15 AM db5vry Finding the equation of tangent and normal I have the curve C with equation $\displaystyle 3x^{3/2} - \frac{32}{x}$ First need to find equation of the tangent to C at the point where x = 4, and then the equation of the normal to C at the poi...
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# Math Statistics: Bar Charts/Bar Graphs These lessons cover how to create and read bar charts and using bar charts to solve problems. A bar chart represents the data as horizontal or vertical bars. The length of each bar is proportional to the amount that it represents. There are 3 main types of bar charts. • Vert...
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# How to generate uniformly distributed points within an ellipse? I am give a sequence of tasks. The each next task is the continuation of the previous one. I managed to solve all of them, except the last. In the first two tasks I was asked to find marginal distributions, expected value of the random vector and varian...
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# Five friends go out to the football field, and decide to throw tide pods onto the field, while standing at different places in the bleachers. each throw is modeled by functions below, where the height of the throw is a function of how much time it is in the air: alastor: h= -6t^2 + 36t + 96. bael: h= -8t^2 + 32t + 40...
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# Area and Perimeter ## Area and Perimeter Worksheets ### New! Design a House Follow the design requirements to create a house! Design Dream House! Design a dream house, recording the area and perimeter. Floor Plan Perimeter Calculate the perimeter of different rooms based on the information given in the floor plan...
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# What is multivariate regression in MyStatLab? ## What is multivariate regression in MyStatLab? What is multivariate regression in MyStatLab? – It identifies the most significant variables in test data, which are all normally distributed. Multivariate regression describes how nonlinear, or sparse, linear function to...
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Resources tagged with: Working systematically Filter by: Content type: Age range: Challenge level: There are 339 results Broad Topics > Using, Applying and Reasoning about Mathematics > Working systematically Age 11 to 14 Challenge Level: If you take a three by three square on a 1-10 addition square and multiply t...
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Teacher2Teacher Q&A #7499 Teachers' Lounge Discussion: Curious about fractions T2T || FAQ || Teachers' Lounge || Browse || Search || T2T Associates || About T2T View entire discussion [<< prev] [ next >>] From: Concerned Teacher To: Teacher2Teacher Public Discussion Date: 2007102307:42:42 Subject: Re: Criss-cross ...
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# 9: Describing Bivariate Data $$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$ $$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newco...
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šŸŽ‰ Announcing Numerade's $26M Series A, led by IDG Capital!Read how Numerade will revolutionize STEM Learning ## Chapter 1 ## Functions and Models ## Educators + 8 more educators ### Problem 1 If$f(x)=x+\sqrt{2-x}$and$g(u)=u+\sqrt{2-u},$is it true that$f=g ?$Heather Z. Numerade Educator ### Problem 2 If$ f(x) = \frac...
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# How to Find Cumulative Frequency in Excel: A Step-by-Step Guide How to Find Cumulative Frequency in Excel Finding cumulative frequency in Excel is a breeze if you follow a few simple steps. By using Excel’s built-in functions, you can easily tally up cumulative frequencies in no time. This guide will take you throu...
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# 846. Hand of Straights ## Description Alice has some number of cards and she wants to rearrange the cards into groups so that each group is of size groupSize, and consists of groupSize consecutive cards. Given an integer array hand where hand[i] is the value written on the ith card and an integer groupSize, return...
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Is there a difference between (D) and (E) in the ques below? : PS Archive Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack It is currently 07 Dec 2016, 16:29 ### GMAT Club Daily Prep #### Thank you for using the timer - this advanced tool can estimate your performance...
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Chapter 8.3, Problem 12E ### Elementary Geometry For College St... 7th Edition Alexander + 2 others ISBN: 9781337614085 Chapter Section ### Elementary Geometry For College St... 7th Edition Alexander + 2 others ISBN: 9781337614085 Textbook Problem # If the area ( A = 1 2 a P ) and the perimeter of a regular polyg...
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# How to know when to relate the tangents (Divide components) 1. Apr 6, 2015 ### Cake 1. The problem statement, all variables and given/known data What ques does one need to recognize they need to divide components of two vectors together to "relate the tangents?" 3. The attempt at a solution Alright, so I've seen ...
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Guided Lessons # Shoe, Graph, Shoe! Ready to move your feet? Get your students moving with a graphing activity that will knock their socks off! Using a bit of “sole” searching, your students will collect, graph, and interpret data on shoes. No standards associated with this content. No standards associated with thi...
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# Samacheer Kalvi 12th Physics Solutions Chapter 1 Electrostatics Students can Download Physics Chapter 1 Electrostatics Questions and Answers, Notes Pdf, Samacheer Kalvi 12th Physics Solutions Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks in your examinations. ## ...
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## Wednesday, January 16, 2013 ### An informal proof of the Christmas Stocking Theorem Let's put a few rows of Pascal's triangle up yet again and choose one of the entries "at random", providing it isn't in the leftmost column. 1 1  1 1  2  1 1  3  3  1 1  4  6  4  1 1  5 10 10  5  1 1  6 15 20 15  6  1 1  7 21 35 3...
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## SOLVE 4x + 3y = –5 -2x + 2y = 6 BY USING ELIMINATION. SHOW ALL WORK!!! HELPPPP :)))) THANKS! ;) Question SOLVE 4x + 3y = –5 -2x + 2y = 6 BY USING ELIMINATION. SHOW ALL WORK!!! HELPPPP :)))) THANKS! 😉 in progress 0 1 week 2021-09-11T01:53:37+00:00 1 Answer 0 x= y=6x+11 Step-by-step explanation: 4x + 3y ...
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Principles Principles of the Metric System Everything in metric is based on sensible and easy to understand principles, i.e. that prefixes for units are based on 10, 100, 1000, 1 million, 1 billion, or fractions of one tenth, one hundredth, one thousandth, one millionth, and so on. There are base units, and other un...
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1 You visited us 1 times! Enjoying our articles? Unlock Full Access! Question # If the vectors →a and →b are perpendicular to each other, then a vector →v in terms of →a and →b satisfying the equations →v.→a=0,→v.→b=1 and [→v →a →b]=1 is A b|b|2+a×b|a×b|2 Right on! Give the BNAT exam to get a 100% scholarship for B...
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# Math posted by . 30. Crafts. A circular coffee table has a diameter of 5 ft. What will it cost to have the top refinished if the company charges \$3 per square foot for the refinishing? • Math - The top area is pi*(D^2/4) Multiply that by \$3 per sq ft D^2 means D-squared and equals 5x5 "pi" = 3.1416
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# Why do unit vectors have no units ## Unit vector A vector with the uniform length is called a "unit vector". We mostly write for unit vector. The unit vector can thus be defined as: We can calculate an associated unit vector for every vector (except for the zero vector with the length). The unit vector formed poi...
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The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A240697 The smallest p2-p1 when 2n = p1+p4 = p2+p3, where p1 < p2 <= p3 < p4 are prime numbers. 1 0, 0, 0, 0, 2, 0, 4, 2, 2, 4, 2, 2, ...
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The Learning Edge ## Average Speed and Average Velocity – Problem 3 Solution to Problem 3. Video Rating: / 5 ## IIT JEE trigonometry problem 1 | Trig identities and examples | Trigonometry | Khan Academy 2010 IIT JEE Paper I #29 Trigonometry problem Watch the next lesson: https://www.khanacademy.org/math/trigonomet...
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# beck Most popular questions and responses by beck 1. ## Physics (PROJECTILE MOTION) Henrietta is going off to her physics class, jogging down the sidewalk at a speed of 2.05 m/s. Her husband Bruce suddenly realizes that she left in such a hurry that she forgot her lunch of bagels, so he runs to the window of their ...
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Posted: Feb 27, 2012 8:03 am COMPOSITE RULE This is the last differentiation rule you will need to know. What happens when we have nested functions? That means a function like: or with an example: Well, the rule says that the derivative will be equal to the derivative of the f(x) times the derivative of the g(f(x))....
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# Partial derivative: Why does substitution order matter? Simple example: $f(x) = x \cdot g(x) \cdot h(x)$ $g(x) = 5x^2$ $h(x) = 2x^3$ First, derive $f$ by $x$, then substitute $g$ and $h$: $\frac{\partial f}{\partial x} = g(x) \cdot h(x) = 10x^5$ And now the other way round, substitute and then derive: $\frac{...
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Get out your ISN! You will be able to find P(A and B) for independent and dependent events. Today’s Objectives: Presentation on theme: "Get out your ISN! You will be able to find P(A and B) for independent and dependent events. Today’s Objectives:"— Presentation transcript: Get out your ISN! You will be able to find ...
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# Equation of a plane through 3 points in 3D space (small clarification) Let's assume we're given 3 points in the 3-dimensional space which are not collinear and which have the following coordinates in some coordinate system A $$= \{O,\overrightarrow{e_1},\overrightarrow{e_2},\overrightarrow{e_3}\}$$ (of the 3-d space...
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# Complementary Angles ## Need homework help? Connect with our top Complementary Angles Experts! Complementary angles in geometry are two angles whose measures sum to 90 degrees. Complementary angles are more often represented by the symbol "∠" followed by two letters. For instance, angles A and B can be written as ∠...
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{[ promptMessage ]} Bookmark it {[ promptMessage ]} Pr2 - STAT 410 Practice Problems for 3.4 and 3.5 Spring... This preview shows pages 1–2. Sign up to view the full content. STAT 410 Practice Problems for 3.4 and 3.5 Spring 2008 1. A gas station sells three grades of gasoline: regular unleaded, extra unleaded, an...
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## Precalculus (6th Edition) domain: $(−\infty,+\infty)$ range: $(−\infty,+\infty)$ Refer to the graph below. The given line can be graphed using the x and y-intercepts. RECALL: (1) The x-intercept can be found by setting y=0 then solving for x. (2) The y-intercept can be found by setting x=0 then solving for y. Find ...
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# Hidden triples - sudoku technique This technique works on the same principle as Hidden Pairs, but is a bit more difficult to apply. The method should be used when we have 3 cells within a column, row, or block that contain notes with three identical digits. The goal is to exclude notes with other digits and thus "g...
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Thread: Calculus limits and negative infinity: lim[x->1](x-7)/(x2 + x - 2) 1. Calculus limits and negative infinity: lim[x->1](x-7)/(x2 + x - 2) Hi, sorry in advance if my layout below is basic/primitive, this is my first post. I have been asked to "evaluate the following limit" limit as x approaches 1 for (x-7)/(...
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mersenneforum.org Help with logarithms containing negative arguments Register FAQ Search Today's Posts Mark Forums Read 2022-10-26, 16:58 #1 Primeinator     "Kyle" Feb 2005 Somewhere near M52.. 7·131 Posts Help with logarithms containing negative arguments Hey, all. I've been out of school for school for some number...
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# Questions tagged [surface-integrals] In mathematics, a surface integral is a generalization of multiple integrals to integration over surfaces. It can be thought of as the double integral analog of the line integral. 826 questions 362 views ### Investigate maxima of Gaussian integral over sphere. Let $\alpha>0$ b...
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Search 70,378 tutors # Find all of the zeros of the polynomial function. You do not need a caluclator for this problem.  Group the first two terms together and the second two terms togerter.  Factor out x2 from the first two terms and -5 from the second two terms: (x3+4x2)+(-5x-20) = x2(x+4)-5(x+4) Because x+4 is a...
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# The scalar →A.[(→B×→C)×(→A+→B+→C)] equals A 0 B [ABC]+[BCA] C [ABC] D None of the above Video Solution Text Solution Verified by Experts ## →A. {(→B+→C)×→A+→B+→C)} [∵ it is a scalar triple product of three vectors of the form →A,→B+→C,→A+→B+→C] , =→A. (→B×→A+→B×→B +→B×→C+→C×→A+→C×→B+→C×→C) =→A.(→B×→A)+→A.(→...
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Is current source also a voltage source? I'm confused between current and voltage sources; I get the text book definition but I am not able to understand real world difference. To me both current and voltage sources seem as the same. I understand that ideal sources doesn't exist. What is an example of practical curren...
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# What is dimensional chain Nov 6, 2021 ## Basic Concept Of Dimensional Chain There are two characteristics of the dimensional chain: closedness-each size of the dimensional chain constitutes a closed system in a certain order; correlation-one of the size changes will affect other size changes. Basic Concept Of Di...
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# C HAPTER 3: E XAMINING R ELATIONSHIPS. S ECTION 3.3: L EAST -S QUARES R EGRESSION Correlation measures the strength and direction of the linear relationship. ## Presentation on theme: "C HAPTER 3: E XAMINING R ELATIONSHIPS. S ECTION 3.3: L EAST -S QUARES R EGRESSION Correlation measures the strength and direction of...
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### IMO 1979 Problem A3 Two circles in a plane intersect. A is one of the points of intersection. Starting simultaneously from A two points move with constant speed, each traveling along its own circle in the same sense. The two points return to A simultaneously after one revolution. Prove that there is a fixed point...
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## Infosys Practice Problems On Pins & Dimensions Dear Reader, Below are three problems where you will be asked to find number of pins/dimensions of cardboards based on data in questions. Question 1 M/S. GRT Grand Hotels, Salem built their hotel recently. They wanted to decorate the Enquiry counter in a grand manner...
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Fibonacci Ratios The last three sections have done much to explain Golden geometry, but haven't explained how they relate to the topic of the Fibonacci series. Actually, the Golden Ratio and the Fibonacci numbers are two concepts that have a lot to do with each other. The most important appearance of the Golden Ratio...
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Calculate the radius of a inscribed circle of a right triangle if given legs and hypotenuse ( r ) : radius of a circle inscribed in a right triangle : = Digit 2 1 2 4 6 10 F Problem. An equilateral triangle is inscribed in a circle. Since ΔPQR is a right-angled angle, PR = sqrt(7^2 + 24^2) = sqrt(49 + 576) = sqrt625 = ...
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# Absolute Value of a Complex Number The complex number is defined as the number in the form a+ib, where a is the real part while ib is the imaginary part of the complex number in which i is known as iota and b is a real number. The value of i is √(-1). Or in other words, a complex number is a combination of real and ...
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× # Perfect square Let $$n \geq 1$$ be a positive integer and $$p$$ a prime. If $$p \vert (n^{3} - 1)$$ and $$n \vert (p-1)$$, prove that $$4p - 3$$ is a perfect square. ###### Source: Gaussianos Blog Note by Jordi Bosch 1 year, 11 months ago Sort by: First, $$p|(n^{3} - 1) \Longrightarrow p|(n - 1)(n^{2} + n + ...
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# Normal operators and self adjointness ## Homework Statement Suppose V is a complex inner-product space and T ∈ L(V) is a normal operator such that T9 = T8. Prove that T is self-adjoint and T2 = T. ## The Attempt at a Solution Consider T9=T8. Now "factor out" T7 on both sides to get T7T2 =TT7. Now we represent T a...
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Question # The number of terms in an $$A.P.$$ is even; the sum of the odd terms in it is $$24$$ and that the even terms is $$30$$. If the last term exceeds the first term by $$10\dfrac {1}{2}$$, then the number of terms in the $$A.P.$$ is : A 4 B 8 C 12 D 16 Solution ## The correct option is B $$8$$Let $$'a'$$ and ...
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# Finding the maximum value of a function without explicit formula $y=f(x)$ Maximum point: $(2,-16)$ Then asked to find maximum values for different functions; $y=f(x)+6$ $y=f(x-2)$ $y=f(4x)$ I'm not sure how to determine the maximum or minimum value of a function when it is not a quadratic. • How do you maximis...
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# trigonometry Draw and explain an angle of elevation of the top of a building is 60 degrees and the angle of depression of its base is 15 degrees observed from a window of another building 15m.away. 1. 👍 0 2. 👎 0 3. 👁 121 1. Sketch the 2 buildings, mark the window on one of them. Draw a horizontal from the window...
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# Fun maths activities you can do at home From baking tasty treats to becoming a shopkeeper, there are lots of fun maths activities you can do at home to liven up your learning! Read on to discover our top ideas for entertaining mathematical games you can play at home. ## Shopkeeper Gather together lots of items fro...
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## April 2014 Logic & Maths Puzzles 1. If 29 frogs can catch 29 flies in 29 minutes, how many frogs are required to catch 87 flies in 87 minutes? (Assuming their appetite for flies remains undiminished!) 2. 3.  In the specially refrigerated building of a zoo, the two most popular exhibits are the penguins and the hu...
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## College Algebra (10th Edition) RECALL: (1) $\dfrac{1}{a^x} = a^{-x}$ (2) $(a^m)^n=a^{mn}$ Use rule (1) above to obtain: $\left(\dfrac{1}{3}\right)^x = \left(3^{-1}\right)^x$ Use rule (2) above to obtain: $\left(3^{-1}\right)^x = 3^{-1(x)} = 3^{-x}$ Note that $3^x \ne 3^{-x}$, so $y=3^x$ is not equivalent to $y=\lef...
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# Homework Help: Mechanics Particular Wheel Problem Tags: 1. Feb 24, 2015 ### Marvin94 2. Relevant equations: Only Moment's formulas (I think) or Eventually Euler's Law 3. The attempt at a solution: It's supposed to be an easy problem. But I just don't understand the mechanism and the meaning of the angle on the bo...
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# A 5.0kg object slides 2.0m down a smooth plane. Find its potential energy and component of weight parallel to the plane [closed] 1 vote 29 views A 5.0kg block of ice is at rest at the top of a smooth inclined plane. The block is released and slides 2.0m down the plane. Assuming there is no friction between the bloc...
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× Get Full Access to Numerical Analysis - 9 Edition - Chapter 5.4 - Problem 28 Get Full Access to Numerical Analysis - 9 Edition - Chapter 5.4 - Problem 28 × # Water flows from an inverted conical tank with circular orifice at the rate dx dt = ISBN: 9780538733519 459 ## Solution for problem 28 Chapter 5.4 Numerica...
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Ambiguous Case in Trigonometry starstarstarstarstarstarstarstarstarstar by Myra Deister | 10 Questions Note from the author: This formative was created to help students understand why there is an ambiguous case when given the SSA information about a triangle as asked to solve the remaining parts. 1 1 What is the term f...
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Next: Effective Construction of Algebraic Up: Examples Previous: Non-normal locus ### Integral closure of an ideal We want to compute the integral closure of the Jacobian ideal of the -singularity defined by . Again, we set the printlevel sufficiently high to get intermediate results and comments, which are partly re...
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## Misc Question 1 In a complete k-ary tree, every internal node has exactly k children. The number of leaves in such a tree with n internal nodes is: (GATE CS 2005) A nk B (n – 1) k+ 1 C n( k – 1) + 1 D n( k – 1) Misc Discuss it Question 1 Explanation: For an k-ary tree where each node has k children or no childre...
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1. ## Orthogonal projection Find the projwv for the given vector v and the subspace W. Let V be the Euclidean space R^4 and W the subspace with the basis $\displaystyle $\begin{bmatrix} 1 & 1 &0 &1 \end{bmatrix},\begin{bmatrix} 0 & 1 &1 &0 \end{bmatrix},\begin{bmatrix} -1 & 0 &0 &1 \end{bmatrix}$$ $\displaystyle $v=...
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General # How Many Inches Are In 25.8 Cm To find out how many inches are in 25.8 centimeters, divide the measurement in centimeters by 2.54. This will give you the answer in inches. If you need a different answer, try the following method. It will give you the answer you need quickly. You can also use visual charts t...
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