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Mathematics With Applications 11th Edition Lial Pdf

Book Name : Calculus with Applications, 11th edition

Stock Number : 4086

ISBN : 1292108975, 0321979427

Year : 2017

Writers :  Margaret L. Lial, Raymond N. Greenwell

Pages : 864

Language : English

Type : PDF

Date : 26 March, 2017

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For freshman/sophomore, 2-semester (2-3 quarter) courses covering applied calculus for students in business, economics, social sciences, or life sciences.

Calculus with Applications, Eleventh Edition by Lial, Greenwell, and Ritchey, is our most applied text to date, making the math relevant and accessible for students of business, life science, and social sciences. Current applications, many using real data, are incorporated in numerous forms throughout the book, preparing students for success in their professional careers. With this edition, students will find new ways to help them learn the material, such as Warm-Up Exercises and added "help text" within examples.

Preface 9

Prerequisite Skills Diagnostic Test 19

Algebra Reference R-1

r.1 Polynomials R-2

r.2 Factoring R-5

r.3 Rational Expressions R-8

r.4 Equations R-11

r.5 Inequalities R-17

r.6 Exponents R-21

r.7 Radicals R-26

Linear Functions 21

1.1 Slopes and Equations of Lines 22

1.2 Linear Functions and Applications 37

1.3 The Least Squares Line 47

Chapter 1 Review 60

Extended Application Using Extrapolation to Predict Life Expectancy 66

Nonlinear Functions 68

2.1 Properties of Functions 69

2.2 Quadratic Functions; Translation and Reflection 82

2.3 Polynomial and Rational Functions 96

2.4 Exponential Functions 109

2.5 Logarithmic Functions 120

2.6 Applications: Growth and Decay; Mathematics of Finance 133

Chapter 2 Review 141

Extended Application Power Functions 149

The Derivative 153

3.1 Limits 154

3.2 Continuity 172

3.3 Rates of Change 181

3.4 Definition of the Derivative 194

3.5 Graphical Differentiation 213

Chapter 3 Review 220

Extended Application A Model for Drugs Administered Intravenously 226

Calculating the Derivative 229

4.1 Techniques for Finding Derivatives 230

4.2 Derivatives of Products and Quotients 246

4.3 The Chain Rule 253

4.4 Derivatives of Exponential Functions 263

4.5 Derivatives of Logarithmic Functions 271

Chapter 4 Review 278

Extended Application Electric Potential and Electric Field 283

Graphs and the Derivative 286

5.1 Increasing and Decreasing Functions 287

5.2 Relative Extrema 298

5.3 Higher Derivatives, Concavity, and the Second Derivative Test 310

5.4 Curve Sketching 325

Chapter 5 Review 334

Extended Application A Drug Concentration Model for

Orally Administered Medications 338

Applications of the Derivative 341

6.1 Absolute Extrema 342

6.2 Applications of Extrema 351

6.3 Further Business Applications: Economic Lot Size; Economic Order Quantity;

Elasticity of Demand 361

6.4 Implicit Differentiation 370

6.5 Related Rates 376

6.6 Differentials: Linear Approximation 383

Chapter 6 Review 389

Extended Application A Total Cost Model for a Training Program 393

Integration 395

7.1 Antiderivatives 396

7.2 Substitution 408

7.3 Area and the Definite Integral 416

7.4 The Fundamental Theorem of Calculus 428

7.5 The Area Between Two Curves 438

7.6 Numerical Integration 447

Chapter 7 Review 456

Extended Application Estimating Depletion Dates for Minerals 461

Further Techniques and Applications of Integration 465

8.1 Integration by Parts 466

8.2 Volume and Average Value 475

8.3 Continuous Money Flow 482

8.4 Improper Integrals 490

Chapter 8 Review 496

Extended Application Estimating Learning Curves in

Manufacturing with Integrals 499

Multivariable Calculus 502

9.1 Functions of Several Variables 503

9.2 Partial Derivatives 514

9.3 Maxima and Minima 526

9.4 Lagrange Multipliers 535

9.5 Total Differentials and Approximations 544

9.6 Double Integrals 549

Chapter 9 Review 560

Extended Application Using Multivariable Fitting to Create a

Response Surface Design 566

Differential Equations 570

10.1 Solutions of Elementary and Separable Differential Equations 571

10.2 Linear First-Order Differential Equations 585

10.3 Euler's Method 591

10.4 Applications of Differential Equations 598

Chapter 10 Review 606

Extended Application Pollution of the Great Lakes 611

Probability and Calculus 614

11.1 Continuous Probability Models 615

11.2 Expected Value and Variance of Continuous Random Variables 626

11.3 Special Probability Density Functions 636

Chapter 11 Review 649

Extended Application Exponential Waiting Times 654

Mathematics With Applications 11th Edition Lial Pdf

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