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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).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 36E
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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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