A particle moves according to a law of motion s = f(t) = 13 - 9t2 + 15t + 15 , where t is measured in seconds and s in feet. (a) The particle's initial position is (b) After 3 seconds the velocity = (c) The particle is at rest after (chose in order) seconds and after seconds; (d) The particle is moving in the negative direction when t is in the interval (e) The particle is speeding up when t is in the interval + (f) Find the total distance traveled during the first 6 seconds = (9) The diagram illustrates the motion of the particle. 5 t = 2 S (fig 1) (fig 2 ) Question 4 Not yet Given f(x) + x sin (f(z) + = 23 f'(0)- answered Marked out of 2.00 1 0 Flag question DNE -1 not enough info to calculate Question 7 Not yet The curve y = [In (5 - x)]2 - 2 has horizontal tangent line at the point(s) answered Marked out of 2.00 Note: For full credit write the point in this form (a, b). Flag question Question 8 Not yet Suppose f is a one-to-one differentiable function and its inverse f is also differentiable. answered Marked out of If f (-3) = 6 and f'(-3) = 3, then (f-1)'(6) - 2.00 Flag question DNE 2/5 -3 6 2.5