Arclength Study guides, Class notes & Summaries

Jacobian How to use the chain rule? When you have a composition of functions (dw/ds, dw/dt)= (df/du, df/dv)(du/ds, dv/ds, du/dt, dv/dt) so it gives a vector Classify critical points 1. differentiate WRT each variable x and y. 2. set them equal to 0. then solve for the values (often take the equation that is easy to factorize and take its values. 3. replace the values obtained in the other partial equation set equal to 0 to get the points ***trick: you can add the equations some...

Handwritten notes taken during class during spring 2023 semester. All examples are taken directly from professor. Covers solving for arclength of a function. 4 pages.

In calculus, arc length refers to the length of a curve or part of a curve in a coordinate plane. Calculating arc length is a fundamental concept in calculus and is used in various applications, including physics, engineering, geometry, and computer graphics. The formula for arc length is derived using the principles of calculus, particularly integration. Understanding and applying the formula for arc length allows for precise calculations of the length of curves, which is essential in variou...

These are handwritten, color-coded notes for the Calculus 2 topics Arclength and Area of Surface Revolution, taken in Fall of 2022 at IUPUI. This document contains explanations, formulas, and practice / example problems.

This is a little cheat-sheet/study guide for some basic stuff for pre-calculus and may be used as reminders for Calculus as well. I've used them since high school. Enjoy!

13.3 Arclength