a.
To calculate: The area of the circle in terms of circumference
a.
Answer to Problem 2E
The area of circle is
Explanation of Solution
Given information:
The circumference of circle is
Concept used:
The area of the circle is given by the formula
Calculation:
The radius of the circle from the circumference of the circle is
Substitute
Conclusion: The area of the circle in terms of
b.
To calculate: The derivative of the area of the circle with respect to
b.
Answer to Problem 2E
The rate of change of area
Explanation of Solution
Given information:
The area of circle is
Concept used:
The formula used is
Calculation:
The area of circle in terms of
Differentiate the function with respect to
Conclusion: The rate of change
c.
To calculate: The rate of change at
c.
Answer to Problem 2E
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 2E
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-W/XL ACCESS
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