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Written Activity Related Rates Expanding Rectangle The length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of 4 cm/s. When the length is 21 cm and the width is 15 cm, how fast is the area of the rectangle increasing? Converging Airplanes Two small planes approach an airport, one flying due west at 100 mi/hr and the other flying due north at 140 mi/hr. Assuming they fly at the same constant elevation, how fast is the distance between the planes changing when the westbound plane is 150 miles from the airport and the northbound plane is 200 miles from the airport?

Written Activity Related Rates Expanding Rectangle The length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of 4 cm/s. When the length is 21 cm and the width is 15 cm, how fast is the area of the rectangle increasing? Converging Airplanes Two small planes approach an airport, one flying due west at 100 mi/hr and the other flying due north at 140 mi/hr. Assuming they fly at the same constant elevation, how fast is the distance between the planes changing when the westbound plane is 150 miles from the airport and the northbound plane is 200 miles from the airport?

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter48: Applications Of Formulas To Spur Gears
Section: Chapter Questions
Problem 50A
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Written Activity Related Rates Expanding Rectangle The length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of 4 cm/s. When the length is 21 cm and the width is 15 cm, how fast is the area of the rectangle increasing? Converging Airplanes Two small planes approach an airport, one flying due west at 100 mi/hr and the other flying due north at 140 mi/hr. Assuming they fly at the same constant elevation, how fast is the distance between the planes changing when the westbound plane is 150 miles from the airport and the northbound plane is 200 miles from the airport?
Transcribed Image Text:Written Activity Related Rates Expanding Rectangle The length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of 4 cm/s. When the length is 21 cm and the width is 15 cm, how fast is the area of the rectangle increasing? Converging Airplanes Two small planes approach an airport, one flying due west at 100 mi/hr and the other flying due north at 140 mi/hr. Assuming they fly at the same constant elevation, how fast is the distance between the planes changing when the westbound plane is 150 miles from the airport and the northbound plane is 200 miles from the airport?
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