MATH 1426 Exam #2 - Version A Spring 2017 5. The position of a particle is given by the function s(t) = (t2 - 1)2 fort > 0. On which time interval is the particle moving in a positive direction ? [A] (0, 09) [B] (0,1) 2,09) 0, 2) [E] (1,00) 6. Suppose that F(x) = g(f(x)), f(2) = 5, f'(2) = 4 and g'(5) = 75. Find F'(2). [A] 300 [B] 400 [C] 250 [D] 200 [E] 350 7. Find y' if y = 2cotx [A] In 2 . (csc x) . 2* [B] - In 2 . (csc2x) . 2cotx [C] - In 2 . (sec x) . 2cotx [D] - In(2sec x) . tan x [E] In(2cs'x) . cot x 8. Use implicit differentiation to find " if cosy +x = ey. dx py [A] - cosy + siny + 1 - ey [B] 2 cosy-sin y ey-siny [D) ey + sin y [B) ey+2ysinzy 9. Find y' if y = tan x + cot 1x. [A] 0 [B] 1 [C] 7+x2 [D) 1+x2 1+x2