a.
To calculate: The volume of the cube in terms of side
a.
Answer to Problem 1E
The volume is
Explanation of Solution
Given information:
The side of the cube is
Concept used:
The volume of the cube is given by the formula
Calculation:
Substitute
Conclusion: The volume of the cube in terms of
b.
To calculate: The derivative of the volume of the cube.
b.
Answer to Problem 1E
The derivative of the volume is
Explanation of Solution
Given information:
The volume of the cube in terms of
Concept used:
The formula used is
Calculation:
The volume of the cube in terms of
Differentiate the function with respect to
Conclusion: The derivative
c.
To calculate: The rate of change at
c.
Answer to Problem 1E
The rate of derivative at
Explanation of Solution
Given information:
The rate of change is
Calculation:
The rate of change is
Substitute
Substitute
Conclusion: The rate of change is
d.
To calculate: The unit of rate of change
d.
Answer to Problem 1E
The unit of
Explanation of Solution
Given information:
The rate of change is
Calculation:
The rate of change is
So the unit is
Chapter 2 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
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