u 'zkk'?' 'Q cdioizicx/to; " ' . {. l"'-. L 'A k ';W 'S s&. . '- fl. AP Calculus BC Unit 9: Parametric, Polar, and Vector(No Calculator) 1) Which of the following gives the length of the path described by the parametric equations x y(t) = 1 +t2fromt=0tot=1? 2) For time t > 0, the position of a XU) = 4t + tz and y(t) = What is the acceleration vector of the particle at time t = 1? .1. a b. c. d.(6,-16 e-(6.- 1 - ' t 6 = O? 3) What is the slope of the tangent line to the polar curve r - 1 + 2 sm 6 a 1 e.-2 d.--- 1 c.0 a. 2 - dy - 4) lfx = 62' and y = sm(2t), then El; - zt c sin(2t) e ' zeZI a. 48" COS(2t) 'cos(2t) cos(2t) cos(2t) e en ti Zezt ' ' = t3 - t2 - 1 and )F hat values of t does the curve given by the parametrlc equations x 5 or w i y - t4 + 2t2 - 8t have a vertical tangent? .----- ' 1 3 y I 31 l e ' ' - '- 3' 'd v"(t) and (b) Dc[u(t)-v(t)]. 6)Given that v(t) = ti + tzj and u(t) - St: t ], fin (a) (a)