Explanation Given information: The functions r = f ( t ) and V = g ( r ) are the radius and the volume of a commercial hot air balloon being inflated for testing. The variable t is in minutes, r is in feet, V is in cubic feet. The inflation begins at t = 0. The given statement is as follows: The time that has elapsed when the volume of the balloon is 10,000 cubic feet. As the volume of the commercial hot air balloon is V = g ( r ) We have been given the statement which says the time that has elapsed when the volume of the balloon is 10,000 cubic feet. We have, V = 10 , 000 f t 3 . 10 , 000 f t 3 = g ( r ) . Substitute, r = f ( t ) in 10 , 000 f t 3 = g ( r ) we will have 10 , 000 f t 3 = g ( r ) g ( r ) = 10 , 000 f t 3 g ( f ( t ) ) = 10 , 000 f t 3 Multiplying g − 1 on both sides, we have <

6th Edition

ISBN: 9781119267874

Author: Hughes-Hallett

Publisher: WILEY

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In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is…

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Chapter 1.8, Problem 58P

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Chapter 1.8, Problem 57P

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Chapter 1 Solutions

APPLIED CALCULUS-WILEYPLUS

Ch. 1.1 - Prob. 1P Ch. 1.1 - Prob. 2P Ch. 1.1 - Prob. 3P Ch. 1.1 - Prob. 4P Ch. 1.1 - Prob. 5P Ch. 1.1 - Prob. 6P Ch. 1.1 - Prob. 7P Ch. 1.1 - Prob. 8P Ch. 1.1 - Prob. 9P Ch. 1.1 - Prob. 10P

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Write a mathematical expression that represents the given statement.

Solution Summary: The author explains the function r=f(t) and V=g (r ). The inflation begins at t = 0.

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Chapter 1 Solutions