12) For each of the following, state whether you should use the tool of curve sketching, optimization, linearization, related rates, or area under curve/integrals to solve, then solve the problem. a. Approximate the value of v9.2 b. Find where the function f (x) = =x4 -x3 + 2x2 - 37 is concave down. 6 c. Find the minimum perimeter of a rectangle whose area is 25 square meters. d. The base of a ladder is sliding away from a house at 1.5 ft/sec. If the ladder is 5 ft. long, find the rate at which the top of the ladder is sliding down the house when the base of the ladder is 3 ft. from the house. e. The velocity function for a partible moving along a line is v(t) = -t2 + 4 - 3. Find the total distance covered by the particle during the time interval [-1,5]