Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Rational Expressions: Writing in Lowest Terms. In this example, I take two rational expressions, factor them, and cancel to write in lowest terms. I also make a remark about the domain of the two…

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Buy my book!: '1001 Calculus Problems for Dummies' - you can get it on my website: http://patrickjmt.com/ Part 2 http://www.youtube.com/watch?v=uf9x3Kau3UE Limit Problems with Trig , Part 1. Here I start looking at a variety…

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Related Rates using Cones. Gravel is being dumped into a pile that forms a cone; how quickly is the height changing? A problem from UT-Austin calculus 1 course, homework #8. For more free math…

Leave a tip for good service: https://paypal.me/jjthetutor Atwood's Machine. A 15.0-kg load of bricks hangs from one end of a rope that passes over a small, frictionless pulley. A 28.0- kg counterweight is suspended from the other end of the rope, as shown in Fig. E5.15. The system is released from rest. (a) Draw two…

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! ** IN MY FIRST EXAMPLE, THERE IS A 'SMALL' MISTAKE. INSTEAD OF GRAPHING t ON THE INTERVAL [0,5] I ACTUALLY USE [0,4]. SORRY FOR ANY CONFUSION!!** Parametric Curves - Basic Graphing. In this video,…

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Part 3 : http://www.youtube.com/watch?v=vVzjXpwW2xI The Simplex Method - Finding a Maximum / Word Problem Example, Part 2 of 5.

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! In this video, I give the formula for the cross product of two vectors, discuss geometrically what the cross product is, and do an example of finding the cross product. For more free math…

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Using Matrix Inverse to Solve a System of 2 Linear Equations.

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Solving Quadratic Inequalities The basic procedure and one full example is shown! For more free math videos, visit http://PatrickJMT.com

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Solving Quadratic Equations by Factoring - Basic Examples. In this video, I solve two basic quadratic equations by factoring.

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Understanding the Definition of the Derivative - In this video, I produce the definition of the derivative by thinking about slopes of tangent lines! I DO NOT use the definition of the derivative to…

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding a Limit of a Piecewise Function by Graphing. Here we find the limit of a piecewise function by simply graphing the function.

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Please consider supporting me on Patreon! Be a Patron of Mathematics! https://www.patreon.com/patrickjmt?ty=h Paul Andersen: https://www.youtube.com/user/bozemanbiology Tyler Dewitt: https://www.youtube.com/user/tdewitt451 People always think that math must be so easy for me, but the truth is: I…

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! For the derivation of Simpson's Rule : http://www.youtube.com/watch?v=7MoRzPObRf0 Simpsons Rule - Approximate Integration. In this video, I give the formula for Simpson's Rule, and use it to approximate a definite integral. For more free…

A vertical, solid steel post 25 cm in diameter and 2.50 m long is required to support a load of 8000 kg. You can ignore the weight of the post. What are (a) the stress in the post; (b) the strain in the post; and (c) the change in the post’s length when the load…

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Questions with Detailed Solutions about Sequences and Series made by me! http://www.teacherspayteachers.com/Product/Calculus-Sequence-and-Series-Questions-with-Solutions Another Example: http://www.youtube.com/watch?v=XHUxLLu_c_0 For more FREE math videos, visit http://PatrickJMT.com !! Using the Integral Test for Series - One complete example. I…

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Deriving the Formula can be seen here: https://www.youtube.com/watch?v=yfJB4n-IzBE Arc Length - Find the arc length of a function. The basic formulas and two examples are shown. For more free math videos, please visit http://PatrickJMT.com

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Taylor's Inequality - Examples are shown using Taylor's Inequality. In the first part, I show that a series expansion is valid using Taylor's Inequality. In the second part, I show how to use Taylor's…

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Please consider supporting me on Patreon! Be a Patron of Mathematics! https://www.patreon.com/patrickjmt?ty=h Thanks for watching and please subscribe! Visit PatrickJMT.com and 'like' it! :) Long Division of Polynomials - How to do long division…

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Basis for a Set of Vectors. In this video, I give the definition for a apos; basis apos; of a set of vectors. I think proceed to work an example that shows three vectors…

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Conic Sections: Hyperbolas, An Introduction - Graphing Example. In this video, I graph a hyperbola by finding the center, foci, vertices, and asymptotes.

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Alternating Series Estimation Theorem -The basic idea along with a couple of examples are shown. For more free math videos, check out http://PatrickJMT.com

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Buy my book!: '1001 Calculus Problems for Dummies' - you can get it on my website: http://patrickjmt.com/ Limits at Infinity - Basic Idea and Shortcuts for Rational Functions. For more free math videos, visit…

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding Partial Derviatives - 3 examples are shown of finding partial derivatives of a multivariable function. For more free math videos, visit http://PatrickJMT.com

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! The Inverse Laplace Transform. In this video, I give an important theorem related to the inverse Laplace transform, give a definition about the inverse Laplace transform and find the inverse Laplace transform of a…

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Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding a Potential for a Conservative Vector Field. In this video, I find the potential for a conservative vector field.