a.
To calculate: The area of the square in terms of radius
a.
Answer to Problem 4E
The area of square is
Explanation of Solution
Given information:
The side of the square is
Concept used:
The Pythagoras theorem equation is
Calculation:
All the four sides are equal in a square that is
The diagonal of a square is the diameter of the circle.
Diagonal of a square is
Use the Pythagoras theorem, to find the side of the square.
Substitute
Conclusion: The area of the square in terms of radius
b.
To calculate: The rate of change of the area of the square with respect to
b.
Answer to Problem 4E
The rate of change of area
Explanation of Solution
Given information:
The area of square is
Concept used:
The formula used is
Calculation:
The area of square 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 4E
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 4E
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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