pdf Complete Test Prep: Calculus, Part 4 (English Edition)

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Topics by section in this volume (the fourth of four Parts):
1 − Interpreting a Velocity Function
2 − Finding Position from Displacement
3 − Calculating Total Distance Traveled
4 − Applications of Integrals as Net Change
5 − Calculating the Area between Curves
6 − Calculating Area Between Intersecting Curves
7 − Boundaries with Changing Functions
8 − Integrating with Respect to the y-variable
9 − Volumes of Solids of Revolution
10 − Finding Volumes using Square Cross Sections
11 − Finding Volumes using Circular Cross Sections
12 − Volumes of Solids of Revolution: Shell Method
13 − Arc Length and Surface Areas of Revolution
14 − Vertical Tangents, Corners, and Cusps
15 − More Applications of Definite Integrals
16 − Trigonometric Integrals
17 − Integrating Using Trigonometric Substitution
18 − Identifying Indeterminate Forms
19 − L'Hopital's Rule 135
20 − Improper Integrals: Infinite Limits
21 − Improper Integrals: Infinite Discontinuities
22 − Parametric Curves in the Plane
23 − Slope and Concavity on Parametric Curves
24 − Arc Length and Parametric Curves
25 − Cycloids
26 − Using Polar Coordinates
27 − Polar Graphs
28 − Tangent Line Slopes on Polar Curves
29 − Finding Areas Enclosed by Polar Curves
30 − Graphing Polar Equations in Parametric Form
31 − Geometric Series
32 − Identifying Functions by Series
33 − Differentiating and Integrating Series
34 − Constructing a Series
35 − Series for sin x and cos x
36 − Taylor and Maclaurin Series
37 − Combining Taylor and Maclaurin Series
38 − Table of Taylor and Maclaurin Series
39 − Taylor Polynomials
40 − Remainder Estimation Theorem
41 − Euler's Formula
42 − Convergence
43 − Testing Power Series for Convergence
44 − Comparing Non-negative Series
45 − The Ratio Test and Endpoint Convergence