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A boat starts off 25 miles directly north from the city of Hartville. It travels due west at a speed of 34 miles per hour. Let θ represent the angle measured from due north to the direction (ray) pointing from Hartville to the boat. After travelling 37 miles, how fast (in radians per hour) is θ changing?

A boat starts off 25 miles directly north from the city of Hartville. It travels due west at a speed of 34 miles per hour. Let θ represent the angle measured from due north to the direction (ray) pointing from Hartville to the boat. After travelling 37 miles, how fast (in radians per hour) is θ changing?

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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A boat starts off 25 miles directly north from the city of Hartville. It travels due west at a speed of 34 miles per hour. Let θ represent the angle measured from due north to the direction (ray) pointing from Hartville to the boat. After travelling 37 miles, how fast (in radians per hour) is θ changing?
Transcribed Image Text:A boat starts off 25 miles directly north from the city of Hartville. It travels due west at a speed of 34 miles per hour. Let θ represent the angle measured from due north to the direction (ray) pointing from Hartville to the boat. After travelling 37 miles, how fast (in radians per hour) is θ changing?
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