The Learning Edge

2010 IIT JEE Paper I #29 Trigonometry problem Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/more-trig-examples/v/iit-jee-trigonometric-maximum?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/more-trig-examples/v/2003-aime-ii-problem-14?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don’t be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry (“trig” as it’s sometimes called) has something to do with triangles. You would be right! […]

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This example problem works through finding the average velocity when we have multiple parts to the givens. It involves splitting the given information into separate parts, finding the total displacement, the total time and then the total average velocity. Content Times: (click on time to access) 0:23 Reading the Problem 0:56 Translating the problem to […]

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It is rather obvious that the greater the MASS – the greater the INERTIA of a body – the harder it is to put it into motion. That is: if a body of MASS M requires a FORCE F to give it “so much” motion – that is, so much acceleration – than a body […]

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Art of Problem Solving’s Richard Rusczyk explains how to count the number of paths from one point to another on a grid. Video Rating: / 5

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In this video, I solve a compound interest problem for TIME. Video Rating: / 5

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Probability Problem : ‘ At Least ‘ and ‘ Complements ‘. Here we have a typical probability problem: 5 students pick from 12 distinct watches. We find the probability that at least 2 of them pick the same type of watch. We use complements and permutations to find the solution. Video Rating: / 5

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The application of Newton’s Second Law is when you really understand what the net force equals mass times acceleration where both force and acceleration are vectors really means. Therefore, we introduce Newton’s Second Law and then do an example problem. Content Times: 0:11 Defining Newton’s Second Law 1:00 The example problem 1:51 Drawing the Free […]

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Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/secant-line-slope-tangent/e/slope-of-secant-lines?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/secant-line-slope-tangent/v/approximating-equation-of-tangent-line-word-problem-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/secant-line-slope-tangent/v/slope-of-a-secant-line-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their […]

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A rectangle R is tiled by smaller rectangles, each of which has either an integer height or an integer width (or both). Prove the rectangle R also has an integer height or an integer width (or both). Blog post (text/image solution): http://wp.me/p6aMk-4oi There are actually many ways to solve this problem. Here are 14 proofs:, […]

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L’Hôpital’s Rule Example 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/e/lhopitals_rule?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/v/proof-of-special-case-of-l-hopital-s-rule?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/v/lhopitals-rule-to-solve-for-variable?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners […]

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This video shows how to calculate various forms of cost (total fixed cost, total variable cost, average variable cost, average total cost, average fixed cost, and marginal cost) based on total cost information and shows graphically what these costs look like. The problem is taken from Essentials of Economics, 2nd Edition, by Paul Krugman, Robin […]

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Finding the right answer to a GMAT problem is hard enough, but the GMAT makers include trap wrong answers as well. This how-to video will show you tricks for eliminating wrong answers and finding correct ones on algebra, roman numeral, and percent problems, and how to avoid common traps. Video Rating: / 5

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