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Unformatted text preview: the integrand as much as possible, but you do not need to evaluate the integral. You only need to set it up. 6. (6 points) The gure below shows the graph of r as a function of in Cartesian coordinates. Sketch the corresponding polar curve. 7. (12 points) A curve C in polar form has equation r = 4 + 8 cos . (a) Sketch the curve C . (b) Set up an integral for nding the area of the inner loop of C . You do not need to evaluate the integral. You only need to set it up. 8. (6 points) A curve C has polar equation r = 3 cos . (a) Rewrite the equation in Cartesian coordinates. (b) Identify the curve. 9. (10 points) Let { a n } be the sequence with a n = 2 r n n 2n + 1 . (a) Find a 1 and a 2 . (b) Find lim n a n ....
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 Spring '10
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