Applied Calculus Hoffman 11th Edition Pdf Download UPDATED
Applied Calculus Hoffman 11th Edition Pdf Download
PDF 2018 – ISBN: 1337275344 – Calculus, 11th Edition by Ron Larson, Bruce H. Edwards # 9699
English | 2018 Edition | , 1337275573, 9781337275347, 9781337275576 | 1288 Pages | True PDF | 64.sixteen MB
Ron Larson
The Pennsylvania State University
The Behrend College
Bruce Edwards
University of Florida
The Larson CALCULUS program has a long history of innovation in the calculus market. It has been widely praised by a generation of students and professors for its solid and constructive education that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course plan that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.
P Preparation for Calculus one
P.one Graphs and Models 2
P.ii Linear Models and Rates of Change 10
P.iii Functions and Their Graphs 19
P.4 Review of Trigonometric Functions 31
Review Exercises 41
P.S. Problem Solving 43
1 Limits and Their Properties 45
one.1 A Preview of Calculus 46
ane.2 Finding Limits Graphically and Numerically 52
1.iii Evaluating Limits Analytically 63
1.4 Continuity and One-Sided Limits 74
1.v Space Limits 87
Department Project: Graphs and Limits of
Trigonometric Functions 94
Review Exercises 95
P.Southward. Trouble Solving 97
two Differentiation 99
2.1 The Derivative and the Tangent Line Trouble 100
2.2 Bones Differentiation Rules and Rates of Change 110
2.3 Product and Quotient Rules and Higher-Order
Derivatives 122
2.4 The Chain Dominion 133
ii.5 Implicit Differentiation 144
Section Projection: Optical Illusions 151
2.6 Related Rates 152
Review Exercises 161
P.S. Problem Solving 163
iii Applications of Differentiation 165
3.1 Extrema on an Interval 166
3.2 Rolle's Theorem and the Mean Value Theorem 174
3.iii Increasing and Decreasing Functions and
the Beginning Derivative Exam 181
Section Project: Even Fourth-Degree Polynomials 190
3.4 Concavity and the 2nd Derivative Test 191
iii.five Limits at Infinity 199
three.6 A Summary of Bend Sketching 209
iii.7 Optimization Problems 219
Section Project: Minimum Time 228
3.8 Newton's Method 229
3.9 Differentials 235
Review Exercises 242
P.S. Problem Solving 245
4 Integration 247
4.1 Antiderivatives and Indefinite Integration 248
four.2 Surface area 258
iv.3 Riemann Sums and Definite Integrals 270
4.4 The Fundamental Theorem of Calculus 281
Department Project: Demonstrating the
Fundamental Theorem 295
four.five Integration by Substitution 296
Review Exercises 309
P.S. Problem Solving 311
5 Logarithmic, Exponential, and
Other Transcendental Functions 313
5.1 The Natural Logarithmic Function: Differentiation 314
5.2 The Natural Logarithmic Function: Integration 324
5.3 Inverse Functions 333
five.4 Exponential Functions: Differentiation and Integration 342
five.5 Bases Other than due east and Applications 352
Department Project: Using Graphing Utilities to
Estimate Gradient 361
v.6 Indeterminate Forms and 50'Hôpital'due south Rule 362
five.7 Inverse Trigonometric Functions: Differentiation 373
5.8 Changed Trigonometric Functions: Integration 382
5.9 Hyperbolic Functions 390
Section Project: Mercator Map 399
Review Exercises 400
P.Southward. Problem Solving 403
6 Differential Equations 405
half-dozen.one Slope Fields and Euler's Method 406
6.2 Growth and Decay 415
half dozen.3 Separation of Variables and the Logistic Equation 423
6.4 Showtime-Society Linear Differential Equations 432
Section Project: Weight Loss 438
Review Exercises 439
P.Southward. Trouble Solving 441
7 Applications of Integration 443
7.ane Area of a Region Between 2 Curves 444
7.2 Volume: The Deejay Method 454
7.3 Book: The Shell Method 465
Section Projection: Saturn 473
7.4 Arc Length and Surfaces of Revolution 474
seven.5 Work 485
Department Project: Pyramid of Khufu 493
7.6 Moments, Centers of Mass, and Centroids 494
7.7 Fluid Force per unit area and Fluid Force 505
Review Exercises 511
P.S. Problem Solving 513
eight Integration Techniques and Improper Integrals 515
eight.ane Basic Integration Rules 516
8.ii Integration by Parts 523
8.3 Trigonometric Integrals 532
Department Projection: The Wallis Product 540
8.4 Trigonometric Substitution 541
viii.5 Partial Fractions 550
8.half-dozen Numerical Integration 559
eight.7 Integration past Tables and Other Integration Techniques 566
viii.8 Improper Integrals 572
Review Exercises 583
P.S. Problem Solving 585
ix Infinite Series 587
9.ane Sequences 588
9.2 Serial and Convergence 599
Department Project: Cantor'due south Disappearing Table 608
9.3 The Integral Test and p-Series 609
Section Project: The Harmonic Serial 615
9.4 Comparisons of Serial 616
9.five Alternate Serial 623
nine.6 The Ratio and Root Tests 631
9.7 Taylor Polynomials and Approximations 640
ix.8 Power Series 651
nine.9 Representation of Functions by Power Serial 661
9.ten Taylor and Maclaurin Serial 668
Review Exercises 680
P.Due south. Problem Solving 683
10 Conics, Parametric Equations, and
Polar Coordinates 685
10.1 Conics and Calculus 686
x.2 Aeroplane Curves and Parametric Equations 700
Department Projection: Cycloids 709
x.3 Parametric Equations and Calculus 710
10.four Polar Coordinates and Polar Graphs 719
Section Project: Cassini Oval 728
10.v Area and Arc Length in Polar Coordinates 729
10.6 Polar Equations of Conics and Kepler's Laws 738
Review Exercises 746
P.South. Problem Solving 749
eleven Vectors and the Geometry of Infinite 751
11.1 Vectors in the Plane 752
11.ii Space Coordinates and Vectors in Space 762
eleven.3 The Dot Product of Two Vectors 770
xi.4 The Cross Product of Ii Vectors in Infinite 779
11.5 Lines and Planes in Space 787
Section Project: Distances in Infinite 797
eleven.6 Surfaces in Infinite 798
11.vii Cylindrical and Spherical Coordinates 808
Review Exercises 815
P.Southward. Problem Solving 817
12 Vector-Valued Functions 819
12.1 Vector-Valued Functions 820
Section Project: Witch of Agnesi 827
12.2 Differentiation and Integration of Vector-Valued
Functions 828
12.iii Velocity and Acceleration 836
12.4 Tangent Vectors and Normal Vectors 845
12.5 Arc Length and Curvature 855
Review Exercises 867
P.South. Trouble Solving 869
xiii Functions of Several Variables 871
13.1 Introduction to Functions of Several Variables 872
13.2 Limits and Continuity 884
13.3 Partial Derivatives 894
13.4 Differentials 904
13.5 Chain Rules for Functions of Several Variables 911
13.half dozen Directional Derivatives and Gradients 919
13.7 Tangent Planes and Normal Lines 931
Section Project: Wildflowers 939
xiii.8 Extrema of Functions of Two Variables 940
xiii.9 Applications of Extrema 948
Department Projection: Edifice a Pipeline 955
13.x Lagrange Multipliers 956
Review Exercises 964
P.S. Problem Solving 967
xiv Multiple Integration 969
14.1 Iterated Integrals and Area in the Plane 970
xiv.2 Double Integrals and Volume 978
14.3 Change of Variables: Polar Coordinates 990
14.four Center of Mass and Moments of Inertia 998
Section Project: Eye of Force per unit area on a Sail 1005
xiv.5 Surface Area 1006
Section Project: Area in Polar Coordinates 1012
14.half dozen Triple Integrals and Applications 1013
14.7 Triple Integrals in Other Coordinates 1024
Section Project: Wrinkled and Bumpy Spheres 1030
fourteen.8 Change of Variables: Jacobians 1031
Review Exercises 1038
P.S. Problem Solving 1041
fifteen Vector Analysis 1043
fifteen.one Vector Fields 1044
fifteen.2 Line Integrals 1055
xv.3 Conservative Vector Fields and Independence of Path 1069
xv.four Dark-green's Theorem 1079
Section Project: Hyperbolic and Trigonometric Functions 1087
fifteen.5 Parametric Surfaces 1088
fifteen.6 Surface Integrals 1098
Department Project: Hyperboloid of Ane Sheet 1109
15.7 Departure Theorem 1110
15.8 Stokes'south Theorem 1118
Review Exercises 1124
P.S. Problem Solving 1127
16 Additional Topics in Differential Equations (Online)*
16.i Exact First-Order Equations
16.2 2d-Social club Homogeneous Linear Equations
16.3 Second-Order Nonhomogeneous Linear Equations
Department Projection: Parachute Bound
sixteen.4 Series Solutions of Differential Equations
Review Exercises
P.South. Problem Solving
Appendices
Appendix A: Proofs of Selected Theorems A2
Appendix B: Integration Tables A3
Appendix C: Precalculus Review (Online)*
Appendix D: Rotation and the General Second-Degree
Equation (Online)*
Appendix E: Complex Numbers (Online)*
Appendix F: Business concern and Economic Applications (Online)*
Appendix G: Plumbing fixtures Models to Data (Online)*
Answers to All Odd-Numbered Exercises A7
Index A121
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