i.
To calculate: To solve the area of
i.
Answer to Problem 53EP
The Area of an integral is
Explanation of Solution
Given information: The given curve as follows:
The region
Calculation:
Since, the area can be calculated as:
The area of
The area in an integral form can be represented as follows:
ii.
To calculate: To solve the polar equation to rectangular coordinates and the curves should be same.
ii.
Answer to Problem 53EP
The conversion into rectangular system is
Explanation of Solution
Given information:
The given curve as follows:
The region
Calculation:
Since, the curves can be calculated as:
The polar coordinates are:
These values can be substituted in the above equations as follows:
Hence, both curves are same.
iii.
To calculate: To set up the area of
iii.
Answer to Problem 53EP
The setup of an integral
Explanation of Solution
Given information:
The given curve as follows:
The region
To set up the integral of
Calculation:
Since, the area can be calculated as:
The area of
The value of
Here, it can be solved as:
Chapter 10 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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