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3.) Find the area bounded by the curve y? = 2x and y =x-4 a.) Using Vertical strips b.) Using Horizontal strips

3.) Find the area bounded by the curve y? = 2x and y =x-4 a.) Using Vertical strips b.) Using Horizontal strips

Advanced Engineering Mathematics
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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Solve number 3 with clear solution.
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(e) and outside r – 1+ cos(0) 12.) Find the area inside r = 4 -2cos(e) and outside r -6 + 2cos(e)
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(e) and outside r – 1+ cos(0) 12.) Find the area inside r = 4 -2cos(e) and outside r -6 + 2cos(e)
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