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4.) Find the area inside the circle r=v2sin (0) and the lemniscate r2 = cos(20)

4.) Find the area inside the circle r=v2sin (0) and the lemniscate r2 = cos(20)

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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II. Solve the following problems: 1.) Find the area bounded by the curve y2=1 - x and 2y = x + 2 2.) Find the area bounded by the curve x = y+12 and x = 2 - (USE VERTICAL AND HORIZONTAL STRIPS) 3.) Find the area of the region which is inside the circle r= 1 and outside the cardioids r= 1+ cos (6) 4.) Find the area inside the circle r=v2sin (0) and the lemniscate r2 = cos(20) 5.) Find the volume generated by revolving the area bounded by the curve y2-4x, x = 0 about the line y =4(USE DISK AND SHELL METHOD) 6.) Find the volume of the solid generated by revolving by the x-axis, the region bounded by the parabola y =x? + 1 and the line y =x + 3
Transcribed Image Text:II. Solve the following problems: 1.) Find the area bounded by the curve y2=1 - x and 2y = x + 2 2.) Find the area bounded by the curve x = y+12 and x = 2 - (USE VERTICAL AND HORIZONTAL STRIPS) 3.) Find the area of the region which is inside the circle r= 1 and outside the cardioids r= 1+ cos (6) 4.) Find the area inside the circle r=v2sin (0) and the lemniscate r2 = cos(20) 5.) Find the volume generated by revolving the area bounded by the curve y2-4x, x = 0 about the line y =4(USE DISK AND SHELL METHOD) 6.) Find the volume of the solid generated by revolving by the x-axis, the region bounded by the parabola y =x? + 1 and the line y =x + 3
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