2.17 Related Rates
By the end of your studying, you should know:
On-screen applet instructions:
The slider controls the position of the runner. The applet displays the length of the runner's shadow s as a function of the runner's position x.
ExamplesSuppose that an inflating balloon is spherical in shape, and its radius is changing at the rate of 3 centimeters per second. At what rate is the volume changing when the radius is 10 centimeters?
A baseball diamond is 90 feet square, and the pitcher's mound is at the center of the square. If a pitcher throws a baseball at 100 miles per hour, how fast is the distance between the ball and first base changing as the ball crosses home plate?
A ladder 10 feet long is resting against a wall. If the bottom of the ladder is sliding away from the wall at a rate of 1 foot per second, how fast is the top of the ladder moving down when the bottom of the ladder is 8 feet from the wall?
VideosSee short videos of worked problems for this section.
ExercisesSee Exercises for 2.17 Related Rates (PDF).
Work online to solve the exercises for this section, or for any other section of the textbook.
Resources on the WebInformation on Newton
Biographical data from St. Andrew's University's Web site
Excerpt from W.W. Rouse Ball's "A Short Account of the History of Mathematics"
Nothing yet has been found. Any ideas?
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Copyright © 2005 Donald L. Kreider, C. Dwight Lahr, Susan J. Diesel