Arc length derivatives - Study guides, Class notes & Summaries

Contents 1 Analytic Geometry 1 1.1 Lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Distance Between Two Points; Circles . . . . . . . . . . . . . . . . 7 1.3 Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.4 Shifts and Dilations . . . . . . . . . . . . . . . . . . . . . . . . 14 2 Instantaneous Rate of Change: The Derivative 19 2.1 The slope of a function . . . . . . . . . . . . . . . . . . . . . . 19 2.2 An example . . . . . . . . ...

Detailed, colored, diagrammed notes covering Ch14 (Vector Functions) of Multivariable Calculus (High school)/Calculus III (University) course. Includes review from Ch11 (parametric curves and conics in polar coordinates).

This document contains detailed notes for Math 53 Lecture 2. Material includes everything from Lecture 2.

[(h1 - h2)/2]*base - Correct Answers >area of trapezoid ∫ u dv = - Correct Answers >uv - ∫ v du 6th degree Taylor Polynomial - Correct Answers >polynomial with finite number of terms, largest exponent is 6, find all derivatives up to the 6th derivative absolute value of velocity - Correct Answers >speed Alt. Series Error: - Correct Answers > Alternate definition of derivative - Correct Answers >limit as x approaches a of [f(x)-f(a)]/(x-a) alternating series test - Cor...

Notes, reviews, exams questions that will make sure if you go through them and read them you will pass the class. The examples are solved with procedure and every explanation needed

Practices problems and solutions that were covered in class

Handwritten notes summarizing Chapter 13 (Vector Functions) of Calculus: Early Transcendentals. Covers vector functions and space curves, derivatives and integrals of vector functions, and arc length.