26. A carpenter is constructing a large cubical storage shed. The volume of the shed is given by V(x) = 4x-x³, 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 V(x) = 4x-x³, 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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![26. A carpenter is constructing a large cubical storage shed. The volume of the shed is given by
V(x) = 4x-x³, 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F157790ff-0ec6-461c-9c1e-8de217dfcd98%2Fbd27f4fd-8ca9-48f5-8530-09f1b45825a7%2Fyoy87id_processed.png&w=3840&q=75)
Transcribed Image Text:26. A carpenter is constructing a large cubical storage shed. The volume of the shed is given by
V(x) = 4x-x³, 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
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