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# Calculus

• ### Let's Play With Matches #shorts

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With just 8 matches (or pens or q-tips or anything straight), you can tie up your mind for hours, days, or WEEKS. The idea is to develop a basic understanding of graph theory, which focuses on the relationships between things -- and you can express those

• ### But what is the Fourier Transform? A visual introduction.

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An animated introduction to the Fourier Transform. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: http://3b1b.co/fourier-thanks

• ### The Algorithm That Transformed The World

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The Fast Fourier Transform is used everywhere but it has a fascinating origin story that could have ended the nuclear arms race. This video is sponsored by 80,000 Hours. Head to http://80000hours.org/veritasium to sign up for their newsletter and get sent

• ### Are There Infinite Infinities? #shorts

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Bitdefender Total Security (Extended Free Trial) - https://www.bitdefender.com/media/html/consumer/new/WI-S-Bitdefender/?cid=inf&7Cc%7Cig7CVS2Q4Thanks to Bitdefender for supporting Vsauce2.We know what infinity is... it's something that never ends. It's r

• ### How Imaginary Numbers Were Invented

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A general solution to the cubic equation was long considered impossible, until we gave up the requirement that math reflect reality. This video is sponsored by Brilliant. The first 200 people to sign up via https://brilliant.org/veritasium get 20% off a y

• ### The Beauty of Bzier Curves

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Bézier curves - how do they do? They're used for animation, text rendering, and all sorts of curved shapes! But how do they actually work? well, like, that's what the video is about, so, watch it to find out etc!! • Lots of love to Jazz "queen

• ### There's a Hole at the Bottom of Math

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Not everything that is true can be proven. This discovery transformed infinity, changed the course of a world war and led to the modern computer. This video is sponsored by Brilliant. The first 200 people to sign up via https://brilliant.org/veritasium ge

• ### Optimization Problems - Calculus

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This calculus video explains how to solve optimization problems. It explains how to solve the fence along the river problem, how to calculate the minimum distance between a point and a line, and how to maximize area while minimizing perimeter as in the ca

• 48:59 Popular ### Area Between Two Curves

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This calculus video tutorial provides a basic introduction in finding the area between two curves with respect to y and with respect to x. It explains how to set up the definite integral to calculate the area of the shaded region bounded by the two curves

• ### How To Integrate Using U-Substitution

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This calculus video tutorial provides a basic introduction into u-substitution. It explains how to integrate using u-substitution. You need to determine which part of the function to set equal to the u variable and you to find the derivative of u to get d

• ### The most important unsolved problem in all of math. The Riemann Hypothesis.

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The Riemann hypothesis is the most notorious unsolved problem in all of mathematics. Ever since it was first proposed by Bernhard Riemann in 1859, the conjecture has maintained the status of the "Holy Grail" of mathematics. In fact, the person who solves

• ### Newton's quarantine notes that changed math forever

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Documents shown:October 1666 Tract on Fluxions (Original) [Starts page 93/190. Demonstration on page 100]: https://cudl.lib.cam.ac.uk/view/MS-ADD-03958/93October 1666 Tract on Fluxions (Translated): http://www.newtonproject.ox.ac.uk/view/texts/normalized/

• ### Newton and Leibniz: Crash Course History of Science #17

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The standard story of the Scientific Revolution culminates with the long life of one man: Sir Isaac Newtona humble servant of the Royal Mint, two-time parliamentarian, and a scientific titan whose name, along with Einsteins, is synonymous with physics tod

• ### How to Read Math

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Baffled by equations, well no more! Continue learning at this video's sponsor https://brilliant.org/dosLots of people find mathematical equations intimidating because they don't make sense. But they are not hard to understand if you follow a few steps, an

• ### Calculus, what is it good for?

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Calculus is an incredibly useful tool for deriving new physics. Check out this video's sponsor https://brilliant.org/dosHere is a brief description of calculus, integration and differentiation and one example of where it is useful: deriving new physics. I

• ### So why do colliding blocks compute pi?

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Part 1: https://youtu.be/HEfHFsfGXjs Part 3: https://youtu.be/brU5yLm9DZM Home page: https://www.3blue1brown.com Brought to you by you: http://3b1b.co/clacks-thanks Many of you shared solutions, attempts, and simulations with me this last week. I loved it

• ### Infinite Series - Numberphile

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Fields Medallist Charlie Fefferman talks about some classic infinite series. More links & stuff in full description below ↓↓↓ Charles Fefferman at Princeton: https://www.math.princeton.edu/people/charles-fefferman Numberphile is supported by the Mathemati

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• ### What is a Fourier Series? (Explained by drawing circles) - Smarter Every Day 205

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Get a free crate for a kid you love (Awesome Chrsitmas gifts) at: https://www.kiwico.com/smarter Click here if you're interested in subscribing: http://bit.ly/Subscribe2SED ⇊ Click below for more links! ⇊ Doga's a super smart dude who writes a Turkish blo

• ### Vector Forces

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Easy to understand 3D animations explaining force vectors.

• ### Product Rule for derivatives: Visualized with 3D animations

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Visual representation of the product rule for derivatives in Calculus.

• ### Polynomial derivatives: 3D visualization

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How to visualize the derivatives of polynomials.

• ### Calculus -- The foundation of modern science

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Easy to understand explanation of integrals and derivatives using 3D animations.

• ### Drawing the 4th, 5th, 6th, and 7th dimension

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How to draw 4, 5, 6, and 7 dimensional objects.

• ### Laplace Transform Explained and Visualized Intuitively

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Laplace Transform explained and visualized with 3D animations, giving an intuitive understanding of the equations. My Patreon page is at https://www.patreon.com/EugeneK

• ### Stability Analysis, State Space - 3D visualization

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Introduction to Stability and to State Space. Visualization of why real components of all eigenvalues must be negative for a system to be stable. My Patreon page is at https://www.patreon.com/EugeneK

• ### Eigenvalues and Eigenvectors, Imaginary and Real

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3D visualization of eigenvectors and eigenvalues. Includes imaginary and real components. My Patreon page is at https://www.patreon.com/EugeneK

• ### Quantum Spin - Visualizing the physics and mathematics

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Quantum spin states explained with 3D animations. My Patreon page is at https://www.patreon.com/EugeneK

• ### Schrodinger's Equation

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Schrodinger's Equation for wave functions in Quantum Physics. My Patreon Page is at https://www.patreon.com/EugeneK

• ### Double integrals and Polar integrals: Explained with 3D visualizations

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Double integrals in rectangular and polar coordinates. Explained with easy to understand 3D animations. My Patreon page is at https://www.patreon.com/EugeneK

• ### Gradients and Partial Derivatives

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3D visualization of partial derivatives and gradient vectors. My Patreon account is at https://www.patreon.com/EugeneK

• ### Divergence and Curl

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Visualization of the Divergence and Curl of a vector field. My Patreon Page: https://www.patreon.com/EugeneK

• ### Imaginary Numbers, Functions of Complex Variables: 3D animations.

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Visualization explaining imaginary numbers and functions of complex variables. Includes exponentials (Euler’s Formula) and the sine and cosine of complex numbers.

• ### Fourier Transform, Fourier Series, and frequency spectrum

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Fourier Series and Fourier Transform with easy to understand 3D animations.

• 02:29 Popular ### Division with Zero - Maths Tricks #4

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In this video Bawa first explains what is division and then goes on to talk about division by zero. You will understand exactly why anything divided by zero is not defined, zero divided by anything is zero and zero divided by itself is indeterminate. This

• 04:01 Popular ### Product rule - Calculus derivatives tutorial

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Learn how to take the derivative of a function using the product rule. This complete calculus derivatives tutorial explains why and how to use the product rule. To see all my calculus videos check out my website http://MathMeeting.com My name is Chris and

• ### Derivative as a concept

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Introduction to the idea of a derivative as instantaneous rate of change or the slope of the tangent line.

• 19:53 Popular ### Calculus at a Fifth Grade Level

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The foreign concepts of calculus often make it hard to jump right into learning it. If you ever wanted to dive into the world of mathematics - or if you are just having difficulty in your calculus class - and are having a hard time grasping the ideas, you

• 04:22 Popular ### Calculus Limits - Factoring Example

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Learning Calculus limits is a breeze with this tutorial and video example.. This example teaches you how to solve limits by factoring. Check out my Calculus limits playlist if you want some harder examples. I also offer live tutoring if you need any extra

• 04:30 Popular ### Calculus Limits - Easy Problem and Introduction

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Learning Calculus limits is a breeze with this problem and introduction. This example is an easy problem. Check out my Calculus limits playlist if you want some harder examples. I also offer live tutoring if you need any extra help. Check out my website i

• 05:47 Popular ### Imaginary Numbers Are Real [Part 1: Introduction]

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More information and resources: http://www.welchlabs.com Imaginary numbers are not some wild invention, they are the deep and natural result of extending our number system. Imaginary numbers are all about the discovery of numbers existing not in one dimen

• ### e - Famed Euler's Number.

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Free trial at The Great Courses Plus: http://ow.ly/tKWt306Gg7a Dr James Grime discusses "e" - the famed Euler's Number. A bit extra from this video: https://youtu.be/uawO3-tjP1c More James Grime videos from Numberphile: http://bit.ly/grimevideos NUMBERPHI

• ### Integrals: Crash Course Physics #3

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Continuing with last week's introduction of calculus, Shini leads us through the ways that integrals can help us figure out things like distance when we have several other key bits of information. Say, for instance, you wanted to know how far your window

• 10:02 Popular ### Derivatives: Crash Course Physics #2

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CALCULUS! Today we take our first steps into the language of Physics; mathematics. Every branch of science has its own way to describe the things that it investigates. And, with Physics, that's math. In this episode, Shini talks us through derivatives and

• ### Newton Leibniz And Usain Bolt

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Why we study differential calculus More free lessons at: http://www.khanacademy.org/video?v=EKvHQc3QEow

• ### Example Comparing X Components Of Vectors

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Example comparing x components of vectors

• ### Deriving Formula For Sum Of Finite Geometric Series

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Deriving formula for sum of finite geometric series

• ### Evaluating Finite Arithmetic Series

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Evaluating finite arithmetic series

• ### Evaluating Arithmetic Sum Example

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Evaluating arithmetic sum example

• 05:21 Popular ### Finding Sum From Recursive Definition Of Sequence

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Finding sum from recursive definition of sequence

• 02:28 Popular ### Linear And Exponential Growth — Basic Example | Math | New SAT | Khan Academy

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Watch Sal work through a basic Linear and exponential growth problem. Watch the next lesson: https://www.khanacademy.org/test-prep/new-sat/new-sat-math/new-sat-problem-solving-data-analysis/v/sat-math-q6-harder?utm_source=YT&utm_medium=Desc&utm_campaign=N

• 05:18 Popular ### Linear And Exponential Growth — Harder Example | Math | New SAT | Khan Academy

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Watch Sal work through a harder Linear and exponential growth problem. Watch the next lesson: https://www.khanacademy.org/test-prep/new-sat/new-sat-math/new-sat-problem-solving-data-analysis/v/sat-math-q8-easier?utm_source=YT&utm_medium=Desc&utm_campaign=

• 05:43 Popular ### Modeling Situations With Arithmetic And Geometric Sequences

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Modeling situations with arithmetic and geometric sequences

• ### Defining Geometric Sequence Explicitly And Recursively

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Defining geometric sequence explicitly and recursively

• 06:08 Popular ### Converting Between Explicit And Recursive Function Definitions For Arithmetic Sequence

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Converting between explicit and recursive function definitions for arithmetic sequence

• ### Explicitly Defining Function For Arithmetic Sequence

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Explicitly defining function for arithmetic sequence

• ### Recursive Functions To Define Sequences

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Recursive functions to define sequences

• ### Optimization - Maximum Profit

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Optimization is explained completely in this calculus video. In this example we maximize profit using optimization. I also provided the links for my other optimization videos as well. Optimization - "minimum fence required" example https://www.youtube.com

• ### Practice Computing And Comparing Rates

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Practice computing and comparing rates

• ### Introduction To Rates

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Introduction to rates

• ### Optimization - Minimum Time To Cross River

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Optimization is explained completely in this calculus video. In this example we maximize profit using optimization. I also provided the links for my other optimization videos as well. Optimization - "minimum fence required" example https://www.youtube.com

• ### Integration By Parts - With Natural Log

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Integration by parts example with a natural log. Check out all of my videos on my channel page http://youtube.com/MathMeeting. For Free homework help check out my website http://MathMeeting.com

• ### Optimization - Minimum Sum Of Two Numbers

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Optimization is explained completely in this calculus video. I also provided the links for my other optimization videos as well. Optimization - "minimum fence required" example https://www.youtube.com/watch?v=kV3K4Ppz6fw Optimization - "Maximum volume of

• ### Optimization - Calculus

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Optimization is explained completely in this calculus video. I also provided the links for my other optimization videos as well. Optimization - "minimum sum of two numbers" example https://www.youtube.com/watch?v=WJy3EEJPV3g Optimization - "Maximum volume

• ### (3/4) Analysis: Explaining Fourier Analysis With A Machine

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► Learn more at: http://www.engineerguy.com/fourier ► Buy the book on Amazon: http://www.amazon.com/gp/product/0983966176/ ► Buy the posters on Zazzle: http://www.zazzle.com/engineerguy ► Main videos in the series: (1/4) Introduction: https://www.youtube.

Featured
• ### Introduction To Range Of A Function

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Introduction to range of a function

• ### Optimization - Maximum Volume Of Box

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Optimization is explained completely in this calculus video. I also provided the links for my other optimization videos as well. Optimization - "minimum fence required" example https://www.youtube.com/watch?v=kV3K4Ppz6fw Optimization - "Minimum sum of two

• 02:44 Popular ### Domain And Range For Piecewise Constant Function

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Domain and Range for piecewise constant function

• 07:25 Popular ### Domain And Range For Piecewise Linear Function

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Domain and range for piecewise linear function

• ### Identifying Relative And Global Maxima And Minima

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Examples identifying relative maximum points, relative minimum points, global maximum points and global minimum points.

• ### Intervals When Function Is Increasing, Decreasing, Postive Or Negative

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Intervals when function is increasing, decreasing, postive or negative

• 03:55 Popular ### Interpreting Function Graphs Word Problems

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Interpreting function graphs word problems

• 03:40 Popular ### Average Rate Of Change For Function From Table

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Average rate of change for function from table

• 04:33 Popular ### Average Rate Of Change With Function Notation

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Average rate of change with function notation

• ### Average Rate Of Change From Graph

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Average rate of change from graph

• ### Introduction To Average Rate Of Change

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Introduction to average rate of change

• 1:27:26 Popular ### Calculus 1 Lecture 1.1: An Introduction to Limits

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Calculus 1 Lecture 1.1: An Introduction to Limits. Great intro video on Calculus.

• ### Examples Evaluating Piecewise Functions

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Examples evaluating piecewise functions

• ### Domain Of A Function

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Introduction to domain of a function.

• ### Examples Of Finding The Domain Of A Function

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Examples of finding the domain of a function

• ### Domain Of Function Modeling Candy Bars

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Domain of function modeling candy bars

• ### Equation For Parabola From Focus And Directrix

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Equation for parabola from focus and directrix

• ### Change In Continuous Function Approaches 0

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Change in continuous function approaches 0

• ### Chain Rule Proof

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Chain rule proof

• ### Differentiability Implies Continuity

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Differentiability implies continuity

• 06:09 Popular ### Partial Sum Notation

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Partial sum notation

• 04:48 Popular ### Infinite Series As Limit Of Partial Sums

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Infinite series as limit of partial sums

• ### Conditional And Absolute Convergence

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Conditional and absolute convergence

• ### Restricting Domain Of Function To Make Invertible

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Restricting domain of function to make invertible

• ### Piecewise Function Example

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Piecewise function example

• ### Understanding Inverse Functions

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Understanding inverse functions

• ### Graphing Piecewise Function

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Graphing piecewise function

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• ### Simple Differential Equation Example

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2010 IIT JEE Paper 1 Problem 56 Differential Equation More free lessons at: http://www.khanacademy.org/video?v=fqnPabGV6A4

• ### Series Sum Example

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2010 IIT JEE Paper 1 Problem 54 Series Sum More free lessons at: http://www.khanacademy.org/video?v=A6fbDssPeac

• 12:58 Popular ### Complex Determinant Example

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2010 IIT JEE Paper 1 Problem 53 Complex Determinant More free lessons at: http://www.khanacademy.org/video?v=E7OkUomRq1Q

• ### Normal vector from plane equation

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Figuring out a normal vector to a plane from its equation More free lessons at: http://www.khanacademy.org/video?v=gw-4wltP5tY

• 15:00 Popular ### 2010 IIT JEE Paper 1 Problem 50 Hyperbola Eccentricity

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• 10:04 Popular ### Tangent Line Hyperbola Relationship (very optional)

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How a tangent line relates to a hyperbola. Might be useful for some competitive exams where there isn't time to derive (like we are doing in this video) More free lessons at: http://www.khanacademy.org/video?v=c_8QQbVQKU0

• 11:30 Popular ### IIT JEE Lagrange's Formula

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2010 IIT JEE Paper 1 Problem 49 Lagrange's Formula More free lessons at: http://www.khanacademy.org/video?v=rndex9FCIdo

• 14:25 Popular ### Vector Triple Product Expansion (very optional)

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A shortcut for having to evaluate the cross product of three vectors More free lessons at: http://www.khanacademy.org/video?v=b7JTVLc_aMk

• ### IIT JEE Trigonometric Maximum

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2010 IIT JEE Paper 1 Problem 48 Trigonometric Maximum More free lessons at: http://www.khanacademy.org/video?v=tzR9jUCSniQ

• 12:49 Popular ### IIT JEE Trigonometric Constraints

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2010 IIT JEE Paper 1 Problem 47 Trigonometric Constraints More free lessons at: http://www.khanacademy.org/video?v=EjtjdJZ2x8w

• 12:17 Popular ### IIT JEE Circle Hyperbola Common Tangent Part 5

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2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 5 More free lessons at: http://www.khanacademy.org/video?v=rPoqpQcgNv4

• ### IIT JEE Circle Hyperbola Common Tangent Part 4

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2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 4 More free lessons at: http://www.khanacademy.org/video?v=eGo8C2Jshzs

• ### IIT JEE Circle Hyperbola Common Tangent Part 3

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2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 3 More free lessons at: http://www.khanacademy.org/video?v=RomnHMWSLoE

• ### IIT JEE Circle Hyperbola Common Tangent Part 2

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2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 2 More free lessons at: http://www.khanacademy.org/video?v=0imeUgSxR10

• ### IIT JEE Circle Hyperbola Common Tangent Part 1

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2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tan More free lessons at: http://www.khanacademy.org/video?v=MhLfun2Vask

• 12:44 Popular ### IIT JEE Circle Hyperbola Intersection

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2010 IIT JEE Paper 1 Problem 46 Circle Hyperbola Intersection More free lessons at: http://www.khanacademy.org/video?v=6g3DPg2HqGw

• ### IIT JEE Integral with Binomial Expansion

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2010 IIT JEE Paper 1 Problem 41 Integral with Binomial Expansion and Algebraic Long Division More free lessons at: http://www.khanacademy.org/video?v=1-5sTDLrcp4

• ### IIT JEE Differentiability and Boundedness

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2010 IIT JEE Paper 1 Problem 40 Differentiability and Boundedness More free lessons at: http://www.khanacademy.org/video?v=FIt1RNiCO6U

• ### IIT JEE Complex Numbers (part 3)

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2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 3) More free lessons at: http://www.khanacademy.org/video?v=FwA_UZkI-JM

• ### IIT JEE Complex Numbers (part 2)

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2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 2) More free lessons at: http://www.khanacademy.org/video?v=pQwoBOpVoWw

• 07:21 Popular ### IIT JEE Complex Numbers (part 1)

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2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 1) More free lessons at: http://www.khanacademy.org/video?v=_5ei_I02huY

• ### IIT JEE Diameter Slope

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2010 IIT JEE Paper 1 problem 37 Diameter Slope More free lessons at: http://www.khanacademy.org/video?v=pdXcf5ZWHf0

• ### IIT JEE Function Maxima

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2010 IIT JEE Paper 1 problem 36 Function Maxima More free lessons at: http://www.khanacademy.org/video?v=2E_DB5VuAoo

• ### IIT JEE Algebraic Manipulation

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2010 Paper 1 problem 35 Algebraic Manipulation More free lessons at: http://www.khanacademy.org/video?v=zs5LM7dxyTo

• ### IIT JEE Integral Limit

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2010 IIT JEE Paper 1 #34 Integral Limit More free lessons at: http://www.khanacademy.org/video?v=pnwrNnZGVEw

• 06:43 Popular ### IIT JEE Position Vectors

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2010 IIT JEE Paper 1 problem 32 Position Vectors More free lessons at: http://www.khanacademy.org/video?v=GDXyGy5TjnI

• ### IIT JEE Complex Root Probability (part 2)

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2010 Paper 1 problem 31 Math (part 2).avi More free lessons at: http://www.khanacademy.org/video?v=S3KMyYYGuPE

• ### IIT JEE Complex Root Probability (part 1)

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2010 Paper 1 problem 31 Math (part 1) More free lessons at: http://www.khanacademy.org/video?v=bV_HSZ_W0nk

• 10:26 Popular ### IIT JEE Perpendicular Planes (Part 1)

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2010 IIT JEE Paper 1 #30 normal vector and planes (Part 1) More free lessons at: http://www.khanacademy.org/video?v=2u535-HVJ_o

• ### 2003 AIME II Problem 15 (part 3)

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Finding the sum of the absolute value of the imaginary parts of the square of the roots of a crazy polynomial More free lessons at: http://www.khanacademy.org/video?v=JTpXK2mENH4

• ### Introduction to i and Imaginary Numbers

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Introduction to i and imaginary numbers More free lessons at: http://www.khanacademy.org/video?v=ysVcAYo7UPI

• ### Calculus: Derivatives 1 (new HD version)

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Calculus-Derivative: Understanding that the derivative is just the slope of a curve at a point (or the slope of the tangent line) More free lessons at: http://www.khanacademy.org/video?v=ANyVpMS3HL4

• ### Koch Snowflake Fractal

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A shape that has an infinite perimeter but finite area More free lessons at: http://www.khanacademy.org/video?v=azBNsPa1WC4

• ### Visualizing Taylor Series Approximations

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Using Wolfram Alpha to approximate sin(x) More free lessons at: http://www.khanacademy.org/video?v=8dMLK2Wueaw #### Categories           