Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question
At a given moment, a plane passes directly above a radar station at an altitude of 6 km and the plane's speed is 600 km/h. Let be the angle that the line through the radar station and the plane makes with the horizontal. How fast is 0 changing 12 min after the plane passes over the radar station? (Use decimal notation. Give your answer to three decimal places.)
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Transcribed Image Text:At a given moment, a plane passes directly above a radar station at an altitude of 6 km and the plane's speed is 600 km/h. Let be the angle that the line through the radar station and the plane makes with the horizontal. How fast is 0 changing 12 min after the plane passes over the radar station? (Use decimal notation. Give your answer to three decimal places.)
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Step 1: Find a differential equation in terms of angle and distance
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Step 2: Find rate of change of angle after 12 min
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