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Concept explainers
In exercises that require numerical values, use Table 12.7.1 and the following values, where needed:
(a) Obtain the value of C given in Formula (16) by setting
(b) Use Formulas (7), (17), and (22) to show that
(c) Show that
(d) Use the result in parts (b) and (c) to show that the speed of a particle in an elliptical orbit is
(e) Suppose that a particle is in an elliptical orbit. Use part (d) to conclude that the distance from the particle to the center of force is a minimum if and only if the speed of the particle is a maximum. Similarly, argue that the distance from the particle to the center of force is a maximum if and only if the speed of the particle is a minimum.
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Chapter 12 Solutions
Calculus: Early Transcendentals, Enhanced Etext
Additional Math Textbook Solutions
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Calculus: Early Transcendentals (3rd Edition)
Precalculus: Mathematics for Calculus (Standalone Book)
Thomas' Calculus: Early Transcendentals (14th Edition)
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