#30 & #31 In each part, find the area of the circle by integration. Show that r
ID: 2851335 • Letter: #
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#30 & #31
In each part, find the area of the circle by integration. Show that r = 2 sin theta + 2 cos theta is a circle. Find the area of the circle using a geometric formula and then by integration. Find the area of the region described. The region that is enclosed by the cardioid r = 2 + 2 sin theta. The region in the first quadrant within the cardioid r = 1 + cos theta. The region enclosed by the rose r = 4 cos 3 theta. The region enclosed by the rose r = 2 sin 2 theta. The region enclosed by the inner loop of the limacon r = 1 + 2cos theta. The region swept out by a radial line from the pole to the curve r = 2/theta as theta varies over the interval 1Explanation / Answer
(30)
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(31)
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