(a) Explanation Given: V = 500 Calculation: Consider the problem provided in the textbook. Volume of the fuel at level h is V ( h ) = 2 a L ∫ − b h 1 − y 2 b 2 d y . The objective is to determine an approximate value of h for V . Recall that: V ( h ) = 2 a L ∫ − b h 1 − y 2 b 2 d y . Integrate this expression and get; V ( h ) = 2 ( 20 ) ( 5 ) ∫ − 4 h 1 − y 2 20 2 d y = 200 [ 10 ( sin − 1 ( 1 20 y ) + 1 2 sin ( 2 sin − 1 ( 1 20 y ) ) ) ] − 4 h ...... (1) V ( h ) = 1000 ( 2 sin − 1 ( h 20 ) + sin ( 2 sin − 1 ( h 20 ) ) + π ) Since V ( h ) = 500 , substitute this in equation (1) and find h (b) To determine To find: the value of h for the given value of V

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 6, Problem 85SP

(a)

To determine

To find: the value of h for the given value of V

(b)

To determine

To find: the value of h for the given value of V

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Chapter 6, Problem 84SP

Chapter 6, Problem 86SP

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Chapter 6 Solutions

Calculus

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