Explanation Given: Function f ( t ) = 120 t Formula Used: Formulas of derivatives are as follows: d d x ( c ) = 0 , where c is a constant. d d x ( x n ) = n x n − 1 d d x { c . f ( x ) } = c . d d x f ( x ) Calculation: Function is given as, f ( t ) = 120 t Derivative of the above function is calculated as: d d t f ( t ) = d d t ( 120 t ) d d t f ( t ) = 120 d d t ( t 1 2 ) f ′ ( t ) = 120 ( 1 2 ) ( t - 1 / 2 ) f ′ ( t ) = 60 ( 1 t ) First, f ( 9 ) = 120 9 f ( 9 ) = 120 ( 3 ) f ( 9 ) = 360 The statement f ( 9 ) = 360 tells us that 360 acres of land was harvested in 9 th year since farming began in the region

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 3.1, Problem 48P

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To find and explain f(t), f′(t) and f′(t)/f(t) at t=9 with t being the number of years since farming began in the region, where f(t)=120t.

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Chapter 3.1, Problem 47P

Chapter 3.1, Problem 49P

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To find and explain f ( t ) , f ′ ( t ) and f ′ ( t ) / f ( t ) at t = 9 with t being the number of years since farming began in the region, where f ( t ) = 120 t .

Solution Summary: The author explains the function f(t)=120sqrtt, where t is the number of years since farming began in the region.

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To find and explain f(t), f′(t) and f′(t)/f(t) at t=9 with t being the number of years since farming began in the region, where f(t)=120t.

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Chapter 3 Solutions