Answer in detail;

Use the table provided to find the four following values. No credit will be given for only a correct numerical answer. Show differentiation step(s) to support your answer. 0 1 2 3 4 2. (4 points) - If(x) +g(x)] f(*) 1/2 1/3 1 -1 3 f(I) 3/2 5/3 1/4 0 -4/5 g(x) -2 1 -1/2 2 -1/3 g'(x) -1 2/3 -4 -3 -1/3 3. (6 points) [(@)9(2)] =1 4. (6 points) d f(x)\f14. (8 points) Find the derivative of the inverse of the function f(x) =r' -2x-3, x 1, at the point (12, -3) on the graph of the inverse function. Note: You do not need to find f-1. 20 f(x) 15 5 10 15 20 10 5 -2 f-1(x) -4 -3 -2 -1 -5 + 412. (12 points) A particle is moving along the r-axis. After { seconds elapse, the particle position is given by the function s(t) = 503 -7t, for t 2 0, measured in inches. Below is the graph of the function s. Answer the following questions. Include units in all answers. () "(t) 2 2 (a) Find and graph the velocity function (on the axes above). (b) Find graph the acceleration function (on the axes above). (c) When is the particle. stationary? (d) When is the particle moving right?13. (10 points) Bobby is flying a kite. Once the kite reaches a height of 60 ft vertically from the point he is holding the kite string, it rises no higher. Instead it drifts away from Bobby at the speed 5 ft/s. How fast is the string running through Bobby's hands at the moment that he has released 107 ft of string? Include units in your answer. 60 X