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?

When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.04 cm/min. At what rate is the plate's area increasing when the radius is 58 cm? Write the equation that relates the rate of change in area to the rate of change in radius. dA dt = dr dt (Type an expression using r as the variable.)