Chapter 3.4, Problem 37E

The graph below shows the velocity v in feet per second of a small rocket that was fired from the top of a tower at time t = 0 (t in seconds). The rocket accelerated with constant upward acceleration until its fuel was expended, then fell back to the ground at the foot of the tower. The entire flight lasted 14 seconds. 4. (4,96) t (seconds) (14,-224) (a) What was the acceleration of the rocket while its fueled lasted? (b) How long was the rocket rising? (c) What distance did the rocket travel during the time it was rising? (d) How high was the tower from which the rocket was fired? v (ft/sec)

The ordered pairs below give the intensities y in microwatts per square centimeter of the light measured by a light probe located x centimeters from a light source.A model that approximates the data is y = 171.33/x2. (a) Use a graphing utility to plot the data points and the model in the same viewing window. (b) Use the model to approximate the light intensity 25 centimeters from the light source.

sider the curve y = x – x³. (a) Find the slope of the tangent line to the curve at the point (1, 0). (b) Find an equation of the tangent line in part (a). y = (c) Graph the curve and the tangent line. y 4 2 2 2 -2 2 -4 -2 -4 -2 2 4 -2 2.