n5 19:4 out of Let T6) = (#872903), t E 1R, describes the two-dimensional linear motion, which satisfies 111) = [0, 9) and 142) = (9, 6}. Then r(t)= (l Ill l) Answer entry help: No blank spaces are allowed in the answer elds Write Key for my Write x*y for :t: - y (* is required) Write cos(theta) for cos I? (parenthesis are required) Write sqrt(z) for t/E (parenthesis are required) 16 Consider the curve 9:4 r(t} = (49* sint, 48" coste'i'). '\"t 0\" Its arc length function measured from the point P = (D, 4, 6) in the direction of increasing t is alt) =:- Answer entry help: No blank spaces are allowed in the answer fields, note how to enter vectors (bracketsl). Write [a.b,c] for the vector (ct1 b, (3] Write X\"); for my Write x*y for :1: - y (* is required} Write cos(theta) for cars 9 (parenthesis are required) Write sqrt(z) for V2 (parenthesis are required} Write cos(sqrt(z)) for cosh/E) Write cos(sq rt(z})*sqrt(\\pi/2) for cos( ) m Write pi for arr Write e for e 7 The curve r(t) = t sin(t) + cos(t), t cos(t) - sin(t), V3t2 4 2 It of can be reparametrizationt to arc length s (t) = measured from the point P = (1, 0, 0) in the direction of increasing t, to obtain r(s) Answer entry help: No blank spaces are allowed in the answer fields, note how to enter vectors (brackets!). Write [a,b,c] for the vector (a, b, c) Write x^y for acy Write x*y for x . y (* is required) Write cos(theta) for cos 0 (parenthesis are required) Write sqrt(z) for vz (parenthesis are required) Write cos(sqrt(z)) for cos(Vz) Write cos(sqrt(z))*sqrt(\\pi/2) for cos( V/Z) VT/2 Write pi for IT Write e for e