please generate answers to questions in pic and show work.

Exercise 1: A particle moves according to a law of motion s = f(t), where t >0, t (seconds) and s (feet). (a) Find the velocity at time t. (b) When is the particle at rest? (c) When is the particle moving in the positive direction? f (t) = 213 - 2112 + 60t + 3 d) Find the total distance traveled during the first 5 seconds. (e) When is the particle speeding up? Slowing down? Exercise 2: A water tank has the shape of an inverted circular cone with base radius 4 m and height 16 m. If water is being pumped out of the tank at a rate of 2 m/min, find the rate at which the water level is falling when the water is 8 m deep. Exercise 3: (a) Find the differential dy. 2x + 1 (b) Evaluate dy when x = 2, dx = 0.05. y = 5x - 3 Exercise 4: Find the absolute maximum and the absolute minimum values of the function f (xx) = 2x3- 15x2 + 36x, on [1, 5]