Explanation Given: The function is v = v 0 ln ( h 0.0002 ) ln ( h 0 0.0002 ) . The value of v 0 is 10 m / s and the value of h 0 is 10 m . Calculation: The given function is shown below: v = v 0 ln ( h 0.0002 ) ln ( h 0 0.0002 ) ….(1) To obtain the value of v , substitute 10 for v 0 , 10 for h 0 and 60 for h in equation (1). v = 10 ⋅ ln ( 60 0.0002 ) ln ( 10 0.0002 ) = 10 ⋅ ln ( 300000 ) ln ( 50000 ) = 10 ⋅ ( 12.61 10.819 ) = 11.65 Therefore, the value of v is 11.65 m / s . Differentiate the function v = v 0 ln ( h 0.0002 ) ln ( h 0 0.0002 ) with respect to h as shown below: d v d h = d d h [ v 0 ln ( h 0

Loose-leaf Version For Calculus: Early Transcendentals

4th Edition

ISBN: 9781319055912

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Chapter 3.9, Problem 80E

To determine

The value of v and dvdh for the function v=v0ln(h0.0002)ln(h00.0002) such that the value of v0 is 10 m/s and the value of h0 is 10 m.

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Chapter 3.9, Problem 79E

Chapter 3.9, Problem 81E

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Chapter 3 Solutions

Loose-leaf Version For Calculus: Early Transcendentals

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The value of v and d v d h for the function v = v 0 ln ( h 0.0002 ) ln ( h 0 0.0002 ) such that the value of v 0 is 10 m / s and the value of h 0 is 10 m .

Solution Summary: The author calculates the value of v and ()dvdh for the function.

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The value of v and dvdh for the function v=v0ln(h0.0002)ln(h00.0002) such that the value of v0 is 10 m/s and the value of h0 is 10 m.

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Chapter 3 Solutions