Solution Found!
Solved: Areas of regions Make a sketch of the region and
Chapter 8, Problem 22E(choose chapter or problem)
QUESTION:
Make a sketch of the region and its bounding curves. Find the area of the region.
The region inside the cardioid \(r=4+4 \sin \theta\)
Questions & Answers
QUESTION:
Make a sketch of the region and its bounding curves. Find the area of the region.
The region inside the cardioid \(r=4+4 \sin \theta\)
ANSWER:Solution 22E
Step 1:
In this problem we need to find the Area of the region inside the cardioid r = 4+ 4sin(
We know that Area is ; A =
This means that the formula for Area is ;
A = dA = ( ).
The given cardioid is ; r = 4+ 4sin(.
Graph of the region is shown below ;
Thus, the Area is ;
A = (