I need help solving part (c) of this question please. Show full work please. Thank you in advance. 3. Let C be an ellipse centered at the origin with horizontal axis of length 2a and vertical axis oflength 2b, where a, b > 0.(a) Find two distinct unit-speed parameterizations of C.1(b) Using one of your parameterizations from part (a), compute the area of the region boundedby C, x = 0 and y =(c) Starting with the standard equation for this ellipse in rectangular coordinates, convert topolar coordinates. If possible, find r(0).(d) Rotate C about the x-axis to generate a solid. Set up, but do not evaluate, an integral tocompute the surface area of this solid usingi. one of the parameterizations in part (a)ii. polar coordinatesiii. rectangular coordinates(e) Which description of C is easiest to use to compute the surface area of the solid in part(d)? Explain. If possible, compute the surface area using one or more of the integrals setup in (d).

Name: I need help solving part (c) of this question please. Show full work p
Uploaded: 2024-03-20T07:06:27.000Z
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Description: I need help solving part (c) of this question please. Show full work please. Thank you in advance. 3. Let C be an ellipse centered at the origin with horizontal axis of length 2a and vertical axis oflength 2b, where a, b > 0.(a) Find two distinct uni