To find: The area of region inside the one petal of four-petaled rose
Answer to Problem 45E
The area of region inside the one petal of four-petaled rose is
Explanation of Solution
Given information: The given equation of curve is
Formula used: The formula to find the area inside a curve is given by
Calculation:
Draw the graph of the given equation as shown below.
Figure (1)
The area inside of the one petal is equal to the one-fourth of a four petal rose.
To find the area of one petal, integrate the function from
Further simplify to find the area.
Thus, the area of region inside the one petal of four-petaled rose is
Chapter 10 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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