10th Edition

ISBN: 9781285057095

Author: Ron Larson, Bruce H. Edwards

Publisher: Cengage Learning

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Textbook Question

Chapter 10.1, Problem 72E

Surface Area A satellite signal receiving dish is formed by revolving the parabola given by

x 2 = 20 y

about the y-axis. The radius of the dish is r feet. Verify that the surface area of the dish is given by

2 π ∫ 0 t x 1 + ( x 10 ) 2 d x = π 15 [ ( 100 + r 2 ) 3 / 2 − 1000 ]

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Chapter 10.1, Problem 71E

Chapter 10.1, Problem 73E

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Chapter 10 Solutions

Calculus

Ch. 10.1 - Matching In Exercises 5-10, match the equation...Ch. 10.1 - Matching In Exercises 5-10, match the equation...Ch. 10.1 - Matching In Exercises 5-10, match the equation...Ch. 10.1 - Matching In Exercises 5-10, match the equation...Ch. 10.1 - Matching In Exercises 5-10, match the equation...Ch. 10.1 - Prob. 6E Ch. 10.1 - Prob. 7E Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E Ch. 10.1 - Sketching a Parabola In Exercises 1116, find the...

Ch. 10.1 - Sketching a Parabola In Exercises 1116, find the...Ch. 10.1 - Prob. 12E Ch. 10.1 - Prob. 13E Ch. 10.1 - Prob. 14E Ch. 10.1 - Prob. 15E Ch. 10.1 - Prob. 16E Ch. 10.1 - Prob. 17E Ch. 10.1 - Prob. 18E Ch. 10.1 - Prob. 19E Ch. 10.1 - Prob. 20E Ch. 10.1 - Prob. 21E Ch. 10.1 - Prob. 22E Ch. 10.1 - Prob. 23E Ch. 10.1 - Prob. 24E Ch. 10.1 - Prob. 25E Ch. 10.1 - Prob. 26E Ch. 10.1 - Prob. 27E Ch. 10.1 - Prob. 28E Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.1 - Prob. 32E Ch. 10.1 - Prob. 33E Ch. 10.1 - Finding the Standard Equation of an Ellipse In...Ch. 10.1 - Prob. 35E Ch. 10.1 - Prob. 36E Ch. 10.1 - Prob. 37E Ch. 10.1 - Prob. 38E Ch. 10.1 - Prob. 39E Ch. 10.1 - Prob. 40E Ch. 10.1 - Prob. 41E Ch. 10.1 - Prob. 42E Ch. 10.1 - Prob. 43E Ch. 10.1 - Prob. 44E Ch. 10.1 - Prob. 45E Ch. 10.1 - Prob. 46E Ch. 10.1 - Prob. 47E Ch. 10.1 - Prob. 48E Ch. 10.1 - Prob. 49E Ch. 10.1 - Prob. 50E Ch. 10.1 - Prob. 53E Ch. 10.1 - Prob. 51E Ch. 10.1 - Prob. 52E Ch. 10.1 - Prob. 57E Ch. 10.1 - Classifying the Graph of an Equation In Exercises...Ch. 10.1 - Prob. 55E Ch. 10.1 - Prob. 54E Ch. 10.1 - Prob. 63E Ch. 10.1 - Prob. 69E Ch. 10.1 - Prob. 56E Ch. 10.1 - Prob. 59E Ch. 10.1 - Prob. 60E Ch. 10.1 - Prob. 61E Ch. 10.1 - Eccentricity Define the eccentricity of an...Ch. 10.1 - Prob. 64E Ch. 10.1 - Solar Collector A solar collector for heating...Ch. 10.1 - Beam Deflection A simply supported beam that is 16...Ch. 10.1 - Prob. 67E Ch. 10.1 - Proof (a) Prove that if any two tangent lines to a...Ch. 10.1 - Bridge Design A cable of a suspension bridge is...Ch. 10.1 - Prob. 71E Ch. 10.1 - Surface Area A satellite signal receiving dish is...Ch. 10.1 - Prob. 73E Ch. 10.1 - Prob. 74E Ch. 10.1 - Prob. 75E Ch. 10.1 - Prob. 76E Ch. 10.1 - Prob. 77E Ch. 10.1 - Prob. 78E Ch. 10.1 - Prob. 79E Ch. 10.1 - Prob. 80E Ch. 10.1 - Prob. 81E Ch. 10.1 - Conjecture Show that the equation of an ellipse...Ch. 10.1 - Prob. 83E Ch. 10.1 - Prob. 84E Ch. 10.1 - Prob. 85E Ch. 10.1 - Prob. 86E Ch. 10.1 - Prob. 87E Ch. 10.1 - Hyperbolic Mirror A hyperbolic mirror (used in...Ch. 10.1 - Prob. 89E Ch. 10.1 - Prob. 90E Ch. 10.1 - True or False? In Exercises 8792, determine...Ch. 10.1 - Prob. 92E Ch. 10.1 - Prob. 93E Ch. 10.1 - True or False? In Exercises 87-92, determine...Ch. 10.1 - True or False? In Exercises 8792, determine...Ch. 10.1 - Prob. 96E Ch. 10.1 - For a point P on an ellipse, let d be the distance...Ch. 10.1 - Prob. 98E Ch. 10.2 - Prob. 1E Ch. 10.2 - Prob. 2E Ch. 10.2 - Prob. 3E Ch. 10.2 - Prob. 4E Ch. 10.2 - Prob. 5E Ch. 10.2 - Prob. 6E Ch. 10.2 - Prob. 7E Ch. 10.2 - Prob. 8E Ch. 10.2 - Prob. 9E Ch. 10.2 - Prob. 10E Ch. 10.2 - Prob. 11E Ch. 10.2 - Prob. 12E Ch. 10.2 - Prob. 13E Ch. 10.2 - Prob. 14E Ch. 10.2 - Prob. 15E Ch. 10.2 - Using Parametric Equations In Exercises 5-22,...Ch. 10.2 - Using Parametric Equations In Exercises 5-22,...Ch. 10.2 - Using Parametric Equations In Exercises 5-22,...Ch. 10.2 - Using Parametric Equations In Exercises 23-34, use...Ch. 10.2 - Using Parametric Equations In Exercises 23-34, use...Ch. 10.2 - Prob. 21E Ch. 10.2 - Prob. 22E Ch. 10.2 - Prob. 23E Ch. 10.2 - Prob. 24E Ch. 10.2 - Using Parametric Equations In Exercises 23-34, use...Ch. 10.2 - Prob. 26E Ch. 10.2 - Using Parametric Equations In Exercises 23-34, use...Ch. 10.2 - Using Parametric Equations In Exercises 23-34, use...Ch. 10.2 - Prob. 29E Ch. 10.2 - Prob. 30E Ch. 10.2 - Prob. 31E Ch. 10.2 - Prob. 32E Ch. 10.2 - Prob. 33E Ch. 10.2 - Prob. 34E Ch. 10.2 - Prob. 35E Ch. 10.2 - Prob. 36E Ch. 10.2 - Prob. 37E Ch. 10.2 - Prob. 38E Ch. 10.2 - Prob. 39E Ch. 10.2 - Prob. 40E Ch. 10.2 - Writing a Set of Parametric Equations In Exercises...Ch. 10.2 - Prob. 42E Ch. 10.2 - Prob. 43E Ch. 10.2 - Prob. 44E Ch. 10.2 - Prob. 45E Ch. 10.2 - Prob. 46E Ch. 10.2 - Prob. 47E Ch. 10.2 - Prob. 48E Ch. 10.2 - Prob. 49E Ch. 10.2 - Prob. 50E Ch. 10.2 - Prob. 51E Ch. 10.2 - Prob. 52E Ch. 10.2 - Prob. 53E Ch. 10.2 - Prob. 54E Ch. 10.2 - Prob. 55E Ch. 10.2 - Prob. 56E Ch. 10.2 - Prob. 57E Ch. 10.2 - Prob. 58E Ch. 10.2 - Prob. 59E Ch. 10.2 - Prob. 60E Ch. 10.2 - Prob. 61E Ch. 10.2 - Prob. 62E Ch. 10.2 - Prob. 63E Ch. 10.2 - Prob. 64E Ch. 10.2 - Prob. 65E Ch. 10.2 - Plane Curve Explain the process of sketching a...Ch. 10.2 - Prob. 67E Ch. 10.2 - Prob. 68E Ch. 10.2 - Prob. 69E Ch. 10.2 - Prob. 70E Ch. 10.2 - Prob. 71E Ch. 10.2 - Prob. 72E Ch. 10.2 - Prob. 73E Ch. 10.2 - Epicycloid A circle of radius 1 rolls around the...Ch. 10.2 - Prob. 75E Ch. 10.2 - Prob. 76E Ch. 10.2 - Prob. 77E Ch. 10.2 - Prob. 78E Ch. 10.2 - Projectile Motion In Exercises 81 and 82, consider...Ch. 10.2 - Projectile Motion In Exercises 81 and 82, consider...Ch. 10.3 - Prob. 1E Ch. 10.3 - Prob. 2E Ch. 10.3 - Prob. 3E Ch. 10.3 - Prob. 4E Ch. 10.3 - Prob. 5E Ch. 10.3 - Prob. 6E Ch. 10.3 - Prob. 7E Ch. 10.3 - Prob. 8E Ch. 10.3 - Prob. 9E Ch. 10.3 - Prob. 10E Ch. 10.3 - Prob. 11E Ch. 10.3 - Prob. 12E Ch. 10.3 - Prob. 13E Ch. 10.3 - Prob. 14E Ch. 10.3 - Prob. 15E Ch. 10.3 - Prob. 16E Ch. 10.3 - Prob. 17E Ch. 10.3 - Prob. 18E Ch. 10.3 - Prob. 19E Ch. 10.3 - Prob. 20E Ch. 10.3 - Finding an Equation of a Tangent Line In Exercises...Ch. 10.3 - Prob. 22E Ch. 10.3 - Prob. 23E Ch. 10.3 - Finding Equations of Tangent Lines In Exercises...Ch. 10.3 - Prob. 25E Ch. 10.3 - Prob. 26E Ch. 10.3 - Horizontal and Vertical Tangency In Exercises 27...Ch. 10.3 - Horizontal and Vertical Tangency In Exercises 31...Ch. 10.3 - 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Prob. 68E Ch. 10.3 - Prob. 69E Ch. 10.3 - Prob. 70E Ch. 10.3 - Prob. 61E Ch. 10.3 - Surface Area In Exercises 6164, write an integral...Ch. 10.3 - Prob. 63E Ch. 10.3 - Prob. 64E Ch. 10.3 - Prob. 71E Ch. 10.3 - Prob. 72E Ch. 10.3 - Prob. 73E Ch. 10.3 - Prob. 74E Ch. 10.3 - Prob. 75E Ch. 10.3 - Prob. 76E Ch. 10.3 - Prob. 77E Ch. 10.3 - Prob. 78E Ch. 10.3 - Area In Exercises 79 and 80, find the area of the...Ch. 10.3 - Prob. 80E Ch. 10.3 - Prob. 81E Ch. 10.3 - Prob. 82E Ch. 10.3 - Prob. 83E Ch. 10.3 - Prob. 84E Ch. 10.3 - Areas of Simple Closed Curves In Exercises 81-86,...Ch. 10.3 - Prob. 86E Ch. 10.3 - Prob. 87E Ch. 10.3 - Prob. 88E Ch. 10.3 - Prob. 89E Ch. 10.3 - Volume In Exercises 89 and 90, find the volume of...Ch. 10.3 - Prob. 91E Ch. 10.3 - Prob. 92E Ch. 10.3 - Prob. 93E Ch. 10.3 - Prob. 94E Ch. 10.3 - Prob. 95E Ch. 10.3 - Prob. 96E Ch. 10.3 - True or False? 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Surface Area A satellite signal receiving dish is formed by revolving the parabola given by x 2 = 20 y about the y-axis. The radius of the dish is r feet. Verify that the surface area of the dish is given by 2 π ∫ 0 t x 1 + ( x 10 ) 2 d x = π 15 [ ( 100 + r 2 ) 3 / 2 − 1000 ]

Solution Summary: The author explains how a spherical dish of radius r is formed by revolving the parabola around y axis.

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Chapter 10 Solutions