Student Solutions Manual for Tan’s Applied Calculus for the Managerial, Life, and Social Sciences, 7th

by Tan, Soo T.

• ISBN13: 9780495119364
• ISBN10: 0495119369
• Additional ISBN(s): 9780534465070, 9780538735261
• Edition: 7th
• Format: Paperback
• Copyright: 2007-01-23
• Publisher: Brooks Cole
• More Book Details
• Purchase Benefits

Summary

Check your work and reinforce your understanding with this manual, which contains complete solutions for all odd-numbered exercises in the text. You will also find problem-solving strategies plus additional algebra steps and review for selected problems.

Table of Contents

Preliminaries
Precalculus Review I	p. 1
Precalculus Review II	p. 6
The Cartesian Coordinate System	p. 12
Straight Lines	p. 17
Review Exercises	p. 24
Functions, Limits, and the Derivative
Functions and Their Graphs	p. 29
The Algebra of Functions	p. 41
Functions and Mathematical Models	p. 46
Limits	p. 57
One-Sided Limits and Continuity	p. 65
The Derivative	p. 72
Review Exercises	p. 83
Differentiation
Basic Rules of Differentiation	p. 89
The Product and Quotient Rules	p. 97
The Chain Rule	p. 107
Marginal Functions in Economics	p. 117
Higher-Order Derivatives	p. 123
Implicit Differentiation and Related Rates	p. 127
Differentials	p. 137
Review Exercises	p. 141
Applications of the Derivative
Applications of the First Derivative	p. 149
Applications of the Second Derivative	p. 161
Curve Sketching	p. 173
Optimization I	p. 193
Optimization II	p. 205
Review Exercises	p. 212
Exponential and Logarithmic Functions
Exponential Functions	p. 227
Logarithmic Functions	p. 232
Compound Interest	p. 237
Differentiation of Exponential Functions	p. 241
Differentiation of Logarithmic Functions	p. 252
Exponential Functions as Mathematical Models	p. 260
Review Exercises	p. 267
Integration
Antiderivatives and the Rules of Integration	p. 275
Integration by Substitution	p. 284
Area and the Definite Integral	p. 291
The Fundamental Theorem of Calculus	p. 294
Evaluating Definite Integrals	p. 298
Area Between Two Curves	p. 304
Applications of the Definite Integral to Business and Economics	p. 312
Volumes of Solids of Revolution	p. 315
Review Exercises	p. 319
Additional Topics in Integration
Integration by Parts	p. 327
Integration Using Tables of Integrals	p. 332
Numerical Integration	p. 337
Improper Integrals	p. 344
Review Exercises	p. 349
Calculus of Several Variables
Functions of Several Variables	p. 355
Partial Derivatives	p. 358
Maxima and Minima of Functions of Several Variables	p. 363
The Method of Least Squares	p. 370
Constrained Maxima and Minima and the Method of Lagrange Multipliers	p. 378
Total Differentials	p. 384
Double Integrals	p. 388
Applications of Double Integrals	p. 390
Review Exercises	p. 393
Differential Equations
Differential Equations	p. 403
Separation of Variables	p. 407
Applications of Separable Differential Equations	p. 412
Approximate Solutions of Differential Equations	p. 415
Review Exercises	p. 421
Probability and Calculus
Probability Distributions of Random Variables	p. 429
Expected Value and Standard Deviation	p. 436
Normal Distributions	p. 440
Review Exercises	p. 444
Taylor Polynomials and Infinite Series
Taylor Polynomials	p. 447
Infinite Sequences	p. 454
Infinite Series	p. 457
Series with Positive Terms	p. 462
Power Series and Taylor Series	p. 468
More on Taylor Series	p. 472
Newton's Method	p. 476
Review Exercises	p. 481
Trigonometric Functions
Measurement of Angles	p. 489
The Trigonometric Functions	p. 491
Differentiation of Trigonometric Functions	p. 494
Integration of Trigonometric Functions	p. 501
Review Exercises	p. 507
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