A stone is launched vertically upward from a cliff 64 ft above the ground at a speed of 48 ft/s. Its height above the ground t seconds after the launch is given by s = - 16t² + 48t+64 for 0 st≤4. When does the stone reach its maximum height? Find the derivative of s. The stone reaches its maximum height at (Simplify your answer.) S.

Find the unknown value. y varies inversely as the square of x and when x=3,y=2. Find y if x=1.

The resistance of a copper wire carrying an electrical current is directly proportional to its length and inversely proportional to its cross-sectional area. A copper wire with a diameter of 0.0126inch has a resistance of 64.9ohms per thousand feet. What length of 0.0201-inch-diameter copper wire will produce a resistance of 33.5ohms?

Change the function y=3(0.5)x to one having e as the base.