26. A carpenter is constructing a large cubical storage shed. The volume of the shed is given by 3 V(x) = 4x-1x³, where x is the side length in meters a) Determine the average rate of change in volume when the sides lengths are between 1 m and 3 m. (3 marks) b) Determine the instantaneous rate of change when the side length is 2 m using the difference quotient. (3 marks) lim h→0 f(a + h) -f (a) h

26. A carpenter is constructing a large cubical storage shed. The volume of the shed is given by 3 V(x) = 4x-1x³, where x is the side length in meters a) Determine the average rate of change in volume when the sides lengths are between 1 m and 3 m. (3 marks) b) Determine the instantaneous rate of change when the side length is 2 m using the difference quotient. (3 marks) lim h→0 f(a + h) -f (a) h

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.3: Rates Of Change

Problem 29E: Explain the difference between the average rate of change of y as x changes a to b, and the...

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