9.) Find the area of the common interior of r =4sin(20) and r=2 10.) Find the area inside r = 2+2cos(20) and outsider =2
9.) Find the area of the common interior of r =4sin(20) and r=2 10.) Find the area inside r = 2+2cos(20) and outsider =2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Solve number 9 and 10
![A.) In each of the following, find the area bounded by the given curves; Solve for the points of Intersection; Plot
the given curves.
1.) Find the area bounded by the region x? = 4y + 4 and y = x+ 2
2.) Find the area between the curves y? = 2x and y? = 6 –x
3.) Find the area bounded by the curve y? = 2x and y =x-4
a.) Using Vertical strips
b.) Using Horizontal strips
4.) Find the area of the region bounded by the curves y = x – 6x? + 8x and y = x - 2x
5.) Find the area of the triangle whose vertices are at A (-2,3), B (6, -6), C (8,0)
6.) Find the area bounded by the curve x=y' and x = 3y? - 2
%3D
a.) Using Vertical strips
b.) Using Horizontal strips
7.) Find the area inside the graph of r -7 + 3cos(e) and to the left of the y-axis
8.) Find the area inside r = 3cos(0) and outside r =2 - cos(0)
9.) Find the area of the common interior of r =4sin(20) and r=2
10.) Find the area inside r = 2+2cos(20) and outsider =2
11.) Find the area inside r =3cos(0) and outside r – 1+ cos(e)
12.) Find the area inside r = 4-2cos(e) and outside r -6 + 2cos(e)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc181103e-d505-4ba8-9634-67e175ccef6c%2Fc8a249c9-c92e-4a54-b36c-bd84b9b912c6%2F6f0taz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A.) In each of the following, find the area bounded by the given curves; Solve for the points of Intersection; Plot
the given curves.
1.) Find the area bounded by the region x? = 4y + 4 and y = x+ 2
2.) Find the area between the curves y? = 2x and y? = 6 –x
3.) Find the area bounded by the curve y? = 2x and y =x-4
a.) Using Vertical strips
b.) Using Horizontal strips
4.) Find the area of the region bounded by the curves y = x – 6x? + 8x and y = x - 2x
5.) Find the area of the triangle whose vertices are at A (-2,3), B (6, -6), C (8,0)
6.) Find the area bounded by the curve x=y' and x = 3y? - 2
%3D
a.) Using Vertical strips
b.) Using Horizontal strips
7.) Find the area inside the graph of r -7 + 3cos(e) and to the left of the y-axis
8.) Find the area inside r = 3cos(0) and outside r =2 - cos(0)
9.) Find the area of the common interior of r =4sin(20) and r=2
10.) Find the area inside r = 2+2cos(20) and outsider =2
11.) Find the area inside r =3cos(0) and outside r – 1+ cos(e)
12.) Find the area inside r = 4-2cos(e) and outside r -6 + 2cos(e)
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