A football is kicked vertically upward from a height of 7 feet with an initial speed of 45/feet per second. The formula h = 7 + 45t - 16e describes the balls height above the ground, h, in feet, t seconds after it was kicked. Use this formula to find the ball's
height 2 seconds after it was kicked
The ball's height, 2 seconds after it was kicked, was feet

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

Let f (x) = x e8x. find a formula for the nth derivative of f, where n is any positive integer. use x and n in your answer if needed. f (n)(x) =

Which point lies on a circle with a radius of 5 units and center at p(6, 1)?