For the two curves given by polar equations r = sine and r = sin20, A) Find the area of the region that lies inside both curves. B) Sketch the graph of the region.

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Q: b) Calculate the area of the region.

A: Integrate the given integral with respect to dθ.

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A: Graph:

Q: 6. Find a Cartesian equation for the polar curve and describe its shape: r= 3csce

A: The given equation,              r=3 cscθ

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Q: Given the following equation: r=3(1+cos0) i)By using a mathematical software, sketch the polar…

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Q: Find the area of the region enclosed by the inner loop of the curve. r = 6 + 12 sin(0)

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Q: r = 3+2 cos 0

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Q: Q1. Using Polar coordinates, find the area of R the region R as shown in figure

A: To find the area of given region using polar coordinates. Given region is a rectangle. The given…