A weight is suspended on a spring and set in motion such that it bobs up and down vertically. The equation h(t) = 3cos(3pi(t))+ 5 can be used to represent the height, h, in centimeters, of the weight above a desk after time, t, in seconds. Determine the instantaneous rate of change of the height at t = 3.5 seconds.

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?

Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

Find the intensity of light at a depth of 12 meter if I0=14 and k=0.7. Round to two decimals.

Can the average rate of change of a function be constant?