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3. (09.01 MC) A parametric curve is defined by x(t) = 212 - 2 and y()= 41 +1, At what coordinate is the tangent line

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3. (09.01 MC) A parametric curve is defined by x(t) = 212 - 2 and y()= 41 +1, At what coordinate is the tangent line to the curve horizontal? (6 points) 2 O - 2'2 0 1-2 4) O (0,-2) O 1-2 - 34 4. (09.01 MC) A particle moves in a plane according to the parametric equations x(t) = 1 + 3cost, y(t) = 3sin2t. Find . in terms of t. (6 points) dx 2 2costcos2t - 8sin tcost 3 sin t O 4 sin 2t sini O 4 sin 2t cost O 4 sintsin2t + 2 costcos 2t -3sin t1. (09.02 MC) Determine |s'(3)| for position vector s(t) = . (6 points) O1 O V37 O V7 O 6 2. (09.02 MC) Find the position vector of an object traveling with a velocity vector v(t) = . (6 points) (21, 212 cost2 + sint?) O 13 cost? 3 2 O cost2 2 -+ C, >

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