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# 4. (20 points) Consider the polar curve r = 4cos 6 and r=1+2cos e. 1+2 caso...

## Question

###### 4. (20 points) Consider the polar curve r = 4cos 6 and r=1+2cos e. 1+2 caso...

4. (20 points) Consider the polar curve r = 4cos 6 and r=1+2cos e. 1+2 caso (a) Find ALL intersection points with 0 So< 2x and express them in polar coordi- nates. Show your works (b) Find the area inside the smaller loop of the curve r = 1+2 cose. Show your work. (c) Find the length of r = 4 cose from A to B as 8 increases, where A is the inter- section of the two curves in quadrant IV, and B is the intersection of the curve r= 4 cos with the positive r-axis. Show your work. 2 (d) Find the points where the tangent line to the curve r = 4 cos is horizontal and express the points in (r.) coordinates with 0 <o<27. Show your work.

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