8. Consider the space curve given by r(t) = (cost, - sint, cost). a. (8 pts) The space curve is shown in which plot? Justify your answer. Draw arrows on the curve to indicate the direction of movement as t increases. (i) (ii) 0.5 0.5 (iii) (iv) N 0.5 0.5 b. (8 pts) Compute the tangent line to r(t) at the point (V3/2, -1/2, 3/4). radians sin cos 0 0 1 30 7 / 6 1/2 V3/2 450 7 /4 1/ V/2 1/V2 60 7 /3 V3/2 1/2 90 7 /2 1 0