Question: 2. Let r(t) = (cost, tet, sint?). (a) (3 points) On what interval(s) is r(t) continuous? (b) (9 points) Find r' (t). (c) (8 points)

2. Let r(t) = (cost, tet, sint?). (a) (3 points) On

2. Let r(t) = (cost, tet, sint?). (a) (3 points) On what interval(s) is r(t) continuous? (b) (9 points) Find r' (t). (c) (8 points) Are the vectors r(t) and r'(t) perpendicular at t = 0? Support your answer. 3. (12 points) Let p(t) = ( 3t5 + 6et, 5t3 - 6t2, t - et ). Find the vector function F(t) = / p(u) du

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