Calculus Transparencies to Accompany LARSON/HOSTETLER/EDWARDS ¥Calculus with Analytic Geometry, Seventh Edition ¥Calculus with Analytic Geometry, Alternate Sixth Edition ¥Calculus: Early Transcendental Functions, Third Edition
Calculus: Early Calculus, Transcendental Transparency Calculus, Alternate Functions, Third Figure Seventh Edition Sixth Edition Edition Number Transparency Title Figure Figure Figure
1The Distance Formula A.16 1.16 A.16 A.17 1.17 A.17 2 Symmetry of a Graph P. 7 1.30 P. 7 3 Rise in Atmospheric Carbon Dioxide P. 11 1.34 P. 11 ----- 1.35 ----- 4The Slope of a Line P. 12 1.38 P. 12 P. 14 1.40 P. 14 5Parallel and Perpendicular Lines P. 19 1.44 P. 19 6Vertical Line Test for Functions P. 26 1.50 P. 26 7 Eight Basic Functions P. 27 1.51 P. 27 8 Shifts and Reflections P. 28 1.52 P. 28 ----- 1.53 ----- 9Trigonometric Functions A.37 8.13 A.37 10 The Tangent Line Problem 1.2 2.2 1.2 11 A Formal Definition of Limit 1.12 2.29 1.12 12 Two Special Trigonometric Limits 1.22 8.20 1.22 Proof of Proof of Proof of Thm 1.9 Thm 8.2 Thm 1.9 13 Continuity 1.25 2.14 1.25 ----- 2.15 ----- 14 Intermediate Value Theorem 1.35 2.20 1.35 1.36 2.21 1.36 15 Infinite Limits 1.40 2.24 1.40 16 The Tangent Line as the Limit of the 2.3 3.3 2.3 Secant Line 2.4 3.4 2.4 17 The Mean Value Theorem 3.12 4.10 3.12 18 The First Derivative Test Proof of Proof of Proof of Thm 3.6 Thm 4.6 Thm 3.6 19 Concavity 3.24 4.20 3.24 20 Points of Inflection 3.28 4.24 3.28 21 Limits at Infinity 3.34 4.30 3.34 22 Oxygen Level in a Pond 3.41 4.34 3.41 23 Finding Minimum Length 3.57 4.47 3.58 3.58 Tech p. 202 3.59 24 Newton’s Method 3.60 4.49 2.42 25 The Differential 3.66 4.55 3.64 26 Total Profit and Marginal Profit ----- 4.61 ----- 27 Upper and Lower Sums for a Region ------5.8 ------5.9 ----- 4.12 5.10 4.12 28 The Fundamental Theorem of Calculus 4.27 5.22 4.27 29 Mean Value Theorem for Integrals 4.30 5.25 4.30 4.31 5.26 4.31 Calculus: Early Calculus, Transcendental Transparency Calculus, Alternate Functions, Third Figure Seventh Edition Sixth Edition Edition Number Transparency Title Figure Figure Figure
30 The Speed of Sound 4.34 ----- 4.34 31 The Trapezoidal Rule 4.41 5.33 4.41 4.42 5.34 4.42 32 Simpson’s Rule 4.44 5.36 4.44 33 Natural Logarithmic Function and the 5.1 ------Number e 5.5 ------34 M.D.s in the United States 5.23 ------35 Radioactive Half-life Model 5.25 ------36 Bacterial Culture Growth 5.27 7.6 ----- 37 Declining Sales (Exponential Model) 5.30 7.26 5.3 38 Inverse Trigonometric Functions 5.39 8.33 P.41 39 Hyperbolic Functions 5.47 8.41 4.51 40 Inverse Hyperbolic Functions 5.51 8.44 4.55 41 Graph of a Tractrix 5.52 8.45 4.56 42 Area of a Region Between Two Curves 6.1 6.1 6.1 6.2 6.2 6.2 43 Consumption of Petroleum ------44 The Disc Method 6.11 6.12 6.11 6.12 6.13 6.12 45 The Disc Method 6.14 6.14 6.14 46 The Washer Method 6.17 6.17 6.17 6.18 6.18 6.18 47 Volumes of Solids with Known Cross Sections 6.23 6.22 6.23 48 The Shell Method 6.26 6.26 6.26 6.27 6.27 6.27 49 The Shell Method 6.28 6.28 6.28 50 Comparison of Disc and Shell Methods 6.31 6.31 6.31 51 Arc Length 6.36 6.36 6.36 52 Surface of Revolution 6.42 6.41 6.42 6.43 6.42 6.43 53 Theorem of Pappus 6.65 6.71 6.65 54 Finding Volume by the Theorem of Pappus 6.66 6.72 6.66 55 Fluid Pressure 6.67 6.54 6.67 6.69 6.56 6.69 56 Comparing Two Fluid Forces 7.11 9.13 7.11 7.12 9.14 7.12 57 Gabriel’s Horn 7.28 9.27 7.28 58 The Integral Test 8.8 10.6 8.8 59 Convergence of a Maclaurin Series 8.24 10.16 8.24 60 Conic Sections and Degenerate Conic 9.1 11.1 9.1 Sections 9.2 11.2 9.2 61 Definition of a Parabola 9.3 11.3 9.3 62 Focus of a Parabola 9.4 11.6 9.4 63 Focal Chord Length and Arc Length 9.5 11.8 9.5 64 Definition of an Ellipse 9.7 11.11 9.7 65 Ellipse with a Vertical Major Axis 9.9 11.16 9.9 66 Definition of a Hyperbola 9.13 11.20 9.13 67 Asymptotes of a Hyperbola 9.14 11.23 9.14 68 Parametric Equations for a Cycloid 9.24 12.7 9.24 69 Symmetry in Polar Coordinates ------12.24 ----- 70 Sketching a Polar Graph 9.42 12.30 9.42 71 Special Polar Graphs p. 690 p. 705 p. 690 72 Partitioning a Polar Region 9.49 12.34 9.49 Calculus: Early Calculus, Transcendental Transparency Calculus, Alternate Functions, Third Figure Seventh Edition Sixth Edition Edition Number Transparency Title Figure Figure Figure
73 Points of Intersection of Polar Equations 9.52 12.37 9.52 9.53 12.38 9.53 74 Area of a Surface of Revolution 9.56 12.41 9.56 ------75 Classifying Conics by Eccentricity 9.57 12.42 9.57 76 Polar Equations for Conics (Parabolas) 9.59 12.44 9.59 77 Kepler’s Second Law 9.63 12.49 9.63 78 Vector Addition and Scalar Multiplication 10.8 13.7 10.8 79 Three-Dimensional Coordinate System 10.14 14.1 10.14 and Distance 10.17 14.14 10.17 80 Vectors in Space 10.19 14.6 10.19 10.20 14.7 10.20 81 Angle Between Two Vectors 10.25 13.15 10.25 82 Projections and Vector Components 10.29 13.18 10.29 83 Lines and Planes in Space 10.43 14.20 10.43 10.45 14.22 10.45 84 Sketching Planes in Space 10.49 14.25 10.49 10.50 14.26 10.50 10.51 14.27 10.51 85 Distance Between a Point and a Plane 10.52 14.28 10.52 86 Definition of a Cylinder 10.56 14.31 10.56 10.57 14.32 10.57 87 Quadric Surfaces table, p. 765 table 14.1 table, p. 765 88 Quadric Surfaces table, p. 766 table 14.1 table, p. 766 89 Generating Curves for a Surface of Revolution 10.64 14.40 10.64 90 Representing Surfaces Using Cylindrical 10.69 16.58 10.69 Coordinates 91 The Limit of a Vector-Valued Function 11.6 13.26 11.6 92 Motion of a Projectile 11.16 13.32 11.16 93 Tangential and Normal Components of 11.24 13.40 11.24 Acceleration 94 Interpretation of Curvature 11.34 13.48 11.34 95 Graph of a Function of Two Variables 12.3 15.3 12.3 12.4 Tech p. 843 12.4 96 Level Surfaces of Functions of Three Variables 12.14 15.13 12.14 97 Computer-Generated Graphs of Surfaces table, p. 845 table 15.1 table, p. 845 98 Limit of a Function of Two Variables 12.20 15.19 12.20 99 Partial Derivatives of Functions of Two 12.29 15.27 12.29 Variables 12.30 15.28 12.30 100 Using the Differential as a Linear Approximation 12.35 15.32 12.35 101 The Directional Derivative 12.43 15.40 12.43 12.44 15.41 12.44 102 Properties of the Gradient 12.50 15.44 12.50 103 The Tangent Plane to a Surface at a Point 12.56 15.50 12.56 104 Extreme Value Theorem/Relative 12.63 15.57 12.63 Extrema 12.64 15.58 12.64 105 Critical Points on a Surface 12.65 15.59 12.65 106 Vertically and Horizontally Simple Regions 13.2 16.2 13.2 13.3 16.3 13.3 107 The Inner Partition of a Region 13.9 ------13.9 13.10 16.9 13.10 13.11 16.10 13.11 ------16.11 ------108 Evaluation of Double Integrals 13.17 16.16 13.17 Calculus: Early Calculus, Transcendental Transparency Calculus, Alternate Functions, Third Figure Seventh Edition Sixth Edition Edition Number Transparency Title Figure Figure Figure
109 The Inner Partition of a Surface 13.43 16.38 13.43 110 The Inner Partition of a Solid 13.51 16.45 13.51 111 Triple Integrals in Cylindrical Coordinates 13.62 16.67 13.62
112 Triple Integrals in Spherical Coordinates 13.67 16.72 13.67 113 Green’s Theorem 14.27 17.24 14.27 ------17.25 ----- 114 Alternative Form of Green’s Theorem 14.34 17.31 14.34 115 Graph of a Parametric Surface 14.37 17.34 14.37 116 Orientation of a Surface 14.50 17.46 14.50 117 Flux Integrals 14.51 17.47 14.51 118 The Divergence Theorem 14.55 17.51 14.55 119 Flux and the Divergence Theorem 14.61 17.56 14.61 120 Stokes’s Theorem 14.62 17.57 14.62 14.63 17.58 14.63 121 Utility Transparency for Two-Dimensional Graphs 122 Utility Transparency for Three-Dimensional Graphs