Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a constant rate of 5 cubic feet per minute. If the pool has radius 6 feet and height 9 feet, what is the rate of change of the height of the water in the pool when the depth of the water in the pool is 5 feet

The position of a particle moving along an x axis is given by x = 15.0t2 - 5.00t3, where x is in meters and t is in seconds. determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 3.00 s. (d) what is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) what is the maximum positive velocity reached by the particle and (g) at what time is it reached? (h) what is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (i) determine the average velocity of the particle between t = 0 and t = 3.00 s.