2. (a) Two radar stations, at points A and B, are tracking a certain ship. Station B is located 6 km east of station A. At a certain instant, the ship is 5 km from A and also 5 km from B. Suppose the ship is to the north of A and B. Draw a sketch and find out where the ship is located. (b) At the same instant, station A reads that the distance between station A and the ship is increasing at the rate of 28 km/h. Station B reads that the distance between station B and the ship is increasing at 4 km/h. How fast and in what direction is the ship moving?

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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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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2. (a) Two radar stations, at points A and B, are tracking a certain ship. Station B is located 6 km
east of station A. At a certain instant, the ship is 5 km from A and also 5 km from B. Suppose
the ship is to the north of A and B. Draw a sketch and find out where the ship is located.
(b) At the same instant, station A reads that the distance between station A and the ship is increasing
at the rate of 28 km/h. Station B reads that the distance between station B and the ship is
increasing at 4 km/h. How fast and in what direction is the ship moving?
Transcribed Image Text:2. (a) Two radar stations, at points A and B, are tracking a certain ship. Station B is located 6 km east of station A. At a certain instant, the ship is 5 km from A and also 5 km from B. Suppose the ship is to the north of A and B. Draw a sketch and find out where the ship is located. (b) At the same instant, station A reads that the distance between station A and the ship is increasing at the rate of 28 km/h. Station B reads that the distance between station B and the ship is increasing at 4 km/h. How fast and in what direction is the ship moving?
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