Student Solutions Manual for Tomastik’s Calculus: Applications and Technology, 2nd

by Tomastik, Edmond C.

• ISBN13: 9780030220838
• ISBN10: 0030220831
• Edition: 2nd
• Format: Paperback
• Copyright: 1998-09-14
• Publisher: Brooks Cole

Table of Contents

Functions	1	(54)
Functions	1	(3)
Mathematical Models	4	(3)
Method of Least Squares	7	(5)
Quadratic Functions	12	(10)
Exponential Functions	22	(7)
Some Special Functions and Graphing Techniques	29	(6)
Combinations of Functions	35	(2)
Logarithms	37	(3)
Modeling with Logistic Curves	40	(2)
Selecting the Best Model	42	(12)
Chapter Review	43	(11)
Limits and the Derivative	54	(31)
Limits	54	(7)
Continuity, Limits at Infinity	61	(4)
Rates of Change and Slope	65	(8)
The Derivative	73	(12)
Chapter Review	79	(6)
Rules for the Derivative	85	(27)
Derivatives of Powers, Exponents, and Sums	85	(5)
Derivatives of Products and Quotients	90	(3)
The Chain Rule	93	(3)
Derivatives of Exponential and Logarithmic Functions	96	(4)
Additional Applications	100	(12)
Chapter Review	105	(7)
Curve Sketching and Optimization	112	(48)
The First Derivative	112	(9)
The Second Derivative	121	(12)
Optimization	133	(6)
Implicit Differentiation and Related Rates	139	(21)
Chapter Review	144	(16)
Integration	160	(43)
Antiderivatives	160	(3)
Substitution	163	(3)
Distance Traveled	166	(5)
The Definite Integral	171	(2)
The Fundamental Theorem of Calculus	173	(8)
Area Between Two Curves	181	(22)
Chapter Review	191	(12)
Additional Topics in Integration	203	(15)
Integration by Parts	203	(3)
Integration Using Tables	206	(2)
Numerical Integration	208	(3)
Improper Integrals	211	(7)
Chapter Review	214	(4)
Functions of Several Variables	218	(39)
Functions of Several Variables	218	(2)
Partial Derivatives	220	(4)
Extrema of Functions of Two Variables	224	(7)
Lagrange Multipliers	231	(4)
Tangent Plane Approximations	235	(3)
Double Integrals	238	(19)
Chapter Review	246	(11)
Differential Equations	257	(20)
Differential Equations	257	(2)
Separation of Variables	259	(5)
Approximate Solutions to Differential Equations	264	(3)
Qualitative Analysis	267	(3)
Harvesting a Renewable Resource	270	(7)
Chapter Review	272	(5)
The Trignometric Functions	277	(23)
Angles	277	(3)
The Sine and the Cosine	280	(4)
Differentiation of the Sine and Cosine Functions	284	(5)
Integrations of the Sine and Cosine Functions	289	(2)
Other Trigonometric Functions	291	(9)
Chapter Review	295	(5)
Taylor Polynomials and Infinite Series	300	(42)
Taylor Polynomials	300	(7)
Errors in Taylor Polynomials Approximations	307	(6)
Infinite Sequences	313	(3)
Infinite Series	316	(3)
The Integral and Comparison Tests	319	(4)
The Ratio Test and Absolute Convergence	323	(5)
Taylor Series	328	(14)
Chapter Review	332	(10)
Probability and Calculus	342	(1)
Discrete Probability	342	(3)
Continuous Probability Density Functions	345	(3)
Expected Value and Variance	348	(5)
The Normal Distribution	353	(3)
Chapter Review	356