Given t m2 + 8:1: + 12 t = d f( ) f0 1 + 0052(x) a: At What value of It does the local max of f(t) occur? 152 f, Given f ( t ) = 2 2 + 13x + 40 da 0 1 + cos2 (x) At what value of t does the local max of f(t) occur?A car traveling at 47 ft/sec decelerates at a constant 6 feet per second per second. How many feet does the car travel before coming to a complete stop? iv Water flows from the bottom of a storage tank at a rate of r(t) = 200 - 4t liters per minute, where 0 _ t