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4. (a) Sketch the curve r = 1 + sin 8, the cardioid curve. (b) Transform the equation of the curve r = 4 sin 8 into Cartesian coordinates, find its standard form, and sketch it together with the cardioid curve. (c) Compute the area of the region inside the cardioid curve and outside the curve in part (b).

4. (a) Sketch the curve r = 1 + sin 8, the cardioid curve. (b) Transform the equation of the curve r = 4 sin 8 into Cartesian coordinates, find its standard form, and sketch it together with the cardioid curve. (c) Compute the area of the region inside the cardioid curve and outside the curve in part (b).

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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4. (a) Sketch the curve r = 1+ sin 0, the cardioid curve. (b) Transform the equation of the curve r = 4 sin 0 into Cartesian coordinates, find its standard form, and sketch it together with the cardioid curve. (c) Compute the area of the region inside the cardioid curve and outside the curve in part (b).
Transcribed Image Text:4. (a) Sketch the curve r = 1+ sin 0, the cardioid curve. (b) Transform the equation of the curve r = 4 sin 0 into Cartesian coordinates, find its standard form, and sketch it together with the cardioid curve. (c) Compute the area of the region inside the cardioid curve and outside the curve in part (b).
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