1.The position of an object oscillating up and down at the end of a spring is given by t in seconds. A is the amplitude of the motion, k measures the stiffness of the spring and m is the mass of the object. How fast is the object accelerating when it is accelerating the fastest?

2.A container in the form of a right cylindrical cone with its vertex down has a radius 5 meters and 15 meters height. `If the water is poured into the container at a constant rate of 10 cubic meter per minutes, how fast is the water level rising. To solve this problem we consider that

3.For , determine the values of x where the function is increasing or decreasing (write the intervals), locate the maximum and minimum if exist.