a. Explanation Given: The circulation of newspaper t years from now is given by: C ( t ) = 100 t 2 + 400 t + 50 t ln t ......(1) Formula used: d d x ( x n ) = n x n − 1 d d x ( ln x ) = 1 x d d x ( f ( x ) + g ( x ) ) = d d x ( f ( x ) ) + d d x ( g ( x ) ) d d x [ f ( x ) ⋅ g ( x ) ] = f ′ ( x ) ⋅ g ( x ) + f ( x ) ⋅ g ′ ( x ) Calculations: The rate of circulation C ( t ) with respect to time is given by, b. To determine To find: the rate at which circulation will be changing with respect to the time 5 years from now. c. To determine To find: actual change in circulation during the sixth year.

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

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

Publisher: Kendall Hunt Publishing

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Chapter 3.4, Problem 47PS

To determine

To find:the rate at which circulation will be changing with respect to the time t years from now.

To determine

To find: the rate at which circulation will be changing with respect to the time 5 years from now.

To determine

To find: actual change in circulation during the sixth year.

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Chapter 3.4, Problem 46PS

Chapter 3.4, Problem 48PS

Chapter 3 Solutions

Student's Solution and Survival Manual for Calculus

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the rate at which circulation will be changing with respect to the time t years from now.

Solution Summary: The author calculates the rate at which circulation will change with respect to the time t years from now.

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To find:the rate at which circulation will be changing with respect to the time t years from now.

To find: the rate at which circulation will be changing with respect to the time 5 years from now.

To find: actual change in circulation during the sixth year.

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Chapter 3 Solutions