Explanation Given: The function for the height M ( k ) attained by the ball is as follows: M ( k ) = 15 k − 2.45 ln ( 300 k 49 + 1 ) k 2 Concept used: Consider f and g are differentiable in the interval ( b , ∞ ) and g ′ ( x ) ≠ 0 , if lim x → 0 f ( x ) and lim x → 0 g ( x ) exist and both are either zero or infinite then the L’ Hôpital’s rule is given as lim x → 0 f ( x ) g ( x ) = lim x → 0 f ′ ( x ) g ′ ( x ) Calculation: The given function for the height M ( k ) attained by the ball is as follows: M ( k ) = 15 k − 2.45 ln ( 300 k 49 + 1 ) k 2 Here, k is the air resistance parameter. Apply the limit on the function M ( k ) as shown below: lim k → 0 M ( k ) = lim k → 0 15 k − 2.45 ln ( 300 k 49 + 1 ) k 2 As k → 0 the above expression is transformed into an indeterminate form

4th Edition

ISBN: 9781319055905

Author: FRANZOSA

Publisher: VST

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Question

Chapter 4.5, Problem 60E

To determine

To find:

The maximum height attained by the ball if the air resistance is zero.

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Chapter 4.5, Problem 59E

Chapter 4.5, Problem 61E

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Chapter 4 Solutions

EBK CALCULUS: EARLY TRANSCENDENTALS

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The maximum height attained by the ball if the air resistance is zero.

Solution Summary: The author calculates the maximum height attained by the ball if the air resistance is zero.

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The maximum height attained by the ball if the air resistance is zero.