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For the parametric curve defined by x(t) = 2cost, y(t) = 2sin2t. Part A: For the given parametric curve, determine where y does not exist

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For the parametric curve defined by x(t) = 2cost, y(t) = 2sin2t. Part A: For the given parametric curve, determine where y does not exist on the interval [0, T] and determine the type of discontinuity. (3 points) dx Part B: Find the inflection point(s) of the curve on the interval [0, T]. (3 points) Part C: What is the length of the curve on the interval [0, ~ ]? (4 points) Choose File No file chosen Add Audio Add Video Question 7 (Essay Worth 10 points) (09.01, 09.02, 09.03 HC) A submarine is traveling such that its position vector s(t) =, where s is in miles and t is time in hours. 1+12 1+12 Part A: Find the speed of the submarine at 2 hours to the nearest tenth. (4 points) Part B: Find the acceleration vector of the submarine at 2 hours. (4 points) Part C: What is the total distance traveled by the submarine in the first 2 hours? (2 points)

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