12.4 - Iterated Integrals in Polar Coordinates 1. Consider the problem of finding the area of the region R inside the cardioid r = 1+ cos(8) and inside the circle r = 3 cos(0). a. Use technology to...

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Extracted text: 12.4 - Iterated Integrals in Polar Coordinates 1. Consider the problem of finding the area of the region R inside the cardioid r = 1+ cos(8) and inside the circle r = 3 cos(0). a. Use technology to graph these two polar functions, and then sketch the region R below. b. Find the values of 0 in where these two polar functions intersect. c. Set up (but don't evaluate) a sum of integrals that could be used to calculate the area of R. (Hint: Multiple integrals are needed since the "outer" function r changes as 0 varies.)