5. (09.01 HC) For the parametric curve defined by x(t) = 2cos2t, y(t) = 2sin2t. Part A: For the given parametric curve, determine where ) does not exist on the interval [0, ] and determine the type of discontinuity. (3 points) dx Part B: Find the inflection point(s) of the curve on the interval [0, ]. (3 points) Part C: What is the length of the curve on the interval [0, #]? (4 points) B i U Font Family AAT A DE . E . E . 3 9 0 6. (09.03 MC) The planar motion of a particle can by described by the velocity vector v(t) = . If the particle is at (-3, 4) at t = 0, which of the following represents the x coordinate of the position of the particle at t = 1? (6 points) [x(t) - 3] at O (x(1) at - 3 O 3 - [x(1) t O (13+ x(1)] dt7. (09.01, 09.02, 09.03 HC) A submarine is traveling such that its position vector s(() = 2t >, where s is in miles and t is time in hours. 1+12 1+12 Part A: Find the speed of the submarine at 3 hours to the nearest tenth. (4 points) Part B: Find the acceleration vector of the submarine at 3 hours. (4 points) Part C: What is the total distance traveled by the submarine in the first 3 hours? (2 points) U Font Family - AA - A #V