Please generate answers to questions 1-5 in pic.

Exercise 1: A particle moves according to a law of motion s : f(t}, where tBO' t (seconds) and 3 (feet). (a) Find the velocity at time t. (b) When is the particle at rest? 3 2 (c) When is the particle moving in the positive direction? : _ (d) Find the total distance traveled during the first 5 seconds f (t) t 9t + 241: (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 3 m and height 5 m. If water is being pumped into the tank at a rate of 3 n'F/min, find the rate at which the water level is rising when the water is 4 m deep. Exercise 3: (a) Find the differential dy. m + 1 (b) Evaluate dy when x = 2' dx = 0.05 Exercise 4: Find the absolute maximum and the absolute minimum values of the function E _ 5. Hm)=2m33x212x+1,[2,3]. Show that the equation has exactly one real root: 2931sin3;=0