Show Your Work! Use sign chart and for part b) answer in interval notation if needed. An object is moving on a horizontal line. After t seconds, its position (in feet) is given by s(t) = 3+2 - 13 + 1 (valid for any real number f). (a) (7 pts) During which time interval(s) is the object moving to the right? (b) (8 pts) During which time interval(s) is the object speeding up? Let f(x) = cos(tan(In(1 + er))). Find f'(x). It is given that the function f(x) = 23 + 2x + 1 is one-to-one. Find (f-1)' (1). In a video game, a rocket travels clockwise on the circle a + y' = 50. The rocket can fire missiles along lines tangent to its path. At what point(s) on the circle should the rocket fire to hit a target at (0, 25)? Let f(x) = In (27 + 1)9 (2 - 3x)5 Find dx Simplify your