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"DISTANCE BETWEEN TWO CARS A car leaves an intersection traveling west. Its position 4 sec later is 20 ft from the intersection. At the same time, another car leaves the same intersection heading north so that its position t sec later is t² + 2t ft from the intersection. If the speed of the first car 4 sec after leaving the intersection is 9 ft /sec, find the rate at which the distance between the two cars is changing at that instant of time."

"DISTANCE BETWEEN TWO CARS A car leaves an intersection traveling west. Its position 4 sec later is 20 ft from the intersection. At the same time, another car leaves the same intersection heading north so that its position t sec later is t² + 2t ft from the intersection. If the speed of the first car 4 sec after leaving the intersection is 9 ft /sec, find the rate at which the distance between the two cars is changing at that instant of time."

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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6:56 ㅈ rccd.instructure.com Problem to Work Out Textbook problem 3.6.55: 5G( "DISTANCE BETWEEN TWO CARS A car leaves an intersection traveling west. Its position 4 sec later is 20 ft from the intersection. At the same time, another car leaves the same intersection heading north so that its position t sec later is t² + 2t ft from the intersection. If the speed of the first car 4 sec after leaving the intersection is 9 ft /sec, find the rate at which the distance between the two cars is changing at that instant of time." + 7
Transcribed Image Text:6:56 ㅈ rccd.instructure.com Problem to Work Out Textbook problem 3.6.55: 5G( "DISTANCE BETWEEN TWO CARS A car leaves an intersection traveling west. Its position 4 sec later is 20 ft from the intersection. At the same time, another car leaves the same intersection heading north so that its position t sec later is t² + 2t ft from the intersection. If the speed of the first car 4 sec after leaving the intersection is 9 ft /sec, find the rate at which the distance between the two cars is changing at that instant of time." + 7
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