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: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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
Transcribed Image Text: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
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