Daily Archives: January 9, 2025

Learn how to approximate the integral of ln(√x) using the Trapezoidal Rule, Midpoint Rule, and Simpson’s Rule, with step-by-step calculations and comparisons. Perfect for mastering numerical integration techniques in calculus.

🌟 Unlock the Power of the Binomial Series! 🌟 In this informative video, we explore how to use the Binomial Series to derive power series representations for functions. Specifically, I’ll guide you through the steps to find the Maclaurin series representation for arcsin(x). What You’ll Learn: Understanding the Binomial Series: […]

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! 🙂 https://www.patreon.com/patrickjmt !! Finding the Inverse of a Function or Showing One Does not Exist, Ex 2.In this video, I justify algebraically that a function does not have an inverse.

Learn how to check if a vector field in R² is conservative and find its potential function by verifying curl conditions and computing the scalar function.

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! 🙂 https://www.patreon.com/patrickjmt !! Determinant of a 2 x 2 Matrix – A Few Basic Questions. In this video, I show how to find the determinant of a 2 x 2 matrix, and […]

📚 Lagrange Multipliers – Maximizing or Minimizing Functions with Constraints 📚 In this video, I explain how to use Lagrange Multipliers to find maximum or minimum values of a function subject to a given constraint. This essential technique in multivariable calculus helps solve real-world optimization problems by converting constrained optimization […]

Conic Sections , Ellipse : Find the Foci of an Ellipse.Here we are given the equation of an ellipse and proceed to find the foci.Notice that we do have the given form as mentioned in the thumbnail if we simply swap our first two terms.Notice that this ellipse will centered […]

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! 🙂 https://www.patreon.com/patrickjmt !! The Law of Cosines, Example 1. In this video, I give the formula for the Law of Cosines and use it to find the missing side length of a […]