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х 2000 A television camera at ground level is 2000 feet away from the launching pad of a space rocket that is set to take off vertically, as seen in the following figure. The angle of elevation of the camera can be found by 0 = tan where x is the height of the rocket. 2000) Find the rate of change of the angle of elevation after launch when the camera and the rocket are 5490 feet apart. 0' = radians per foot. Round to five decimal places.

х 2000 A television camera at ground level is 2000 feet away from the launching pad of a space rocket that is set to take off vertically, as seen in the following figure. The angle of elevation of the camera can be found by 0 = tan where x is the height of the rocket. 2000) Find the rate of change of the angle of elevation after launch when the camera and the rocket are 5490 feet apart. 0' = radians per foot. Round to five decimal places.

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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х 2000 A television camera at ground level is 2000 feet away from the launching pad of a space rocket that is set to take off vertically, as seen in the following figure. The angle of elevation of the camera can be found by 0 = tan where x is the height of the rocket. 2000) Find the rate of change of the angle of elevation after launch when the camera and the rocket are 5490 feet apart. 0' = radians per foot. Round to five decimal places.
Transcribed Image Text:х 2000 A television camera at ground level is 2000 feet away from the launching pad of a space rocket that is set to take off vertically, as seen in the following figure. The angle of elevation of the camera can be found by 0 = tan where x is the height of the rocket. 2000) Find the rate of change of the angle of elevation after launch when the camera and the rocket are 5490 feet apart. 0' = radians per foot. Round to five decimal places.
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