Assume that a rectangle with sides x and y is expanding with time. Let y = 2x and X(t) = 3t + 1. What is the formula for the rate of change of the area with respect to time? dA : (3t + 1) dt dA 12(3t + 1) dt dA = 4(3t – 1) dt dA 12(3t – 1) dt

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.

Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.