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raveling due north at 570 mi/hr. Assuming both airliners maintain their (equal) elevations, how fast is the dista at 3:00 p.m.? on relating the horizontal distance between the first airliner and the airport, a, the horizontal distance between b, and the horizontal distance between the two airliners, c is te both sides of the equation with respect to t. db dc dt nplify.)

raveling due north at 570 mi/hr. Assuming both airliners maintain their (equal) elevations, how fast is the dista at 3:00 p.m.? on relating the horizontal distance between the first airliner and the airport, a, the horizontal distance between b, and the horizontal distance between the two airliners, c is te both sides of the equation with respect to t. db dc dt nplify.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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An airliner passes over an airport at noon traveling 510 mi/ hr due east. At 1:00 p.m., another airliner passes over the same airport at the same elevation traveling due north at 570 mi / hr. Assuming both airliners maintain their (equal) elevations, how fast is the distance between them changing at 3:00 p.m.? The equation relating the horizontal distance between the first airliner and the airport, a, the horizontal distance between the second airliner and the airport, b, and the horizontal distance between the two airliners, c is Differentiate both sides of the equation with respect to t. da db dc + dt dt dt (Do not simplify.) At 3:00 p.m., the distance between the airliners is changing at a rate of about (Round to the nearest tenth as needed.)
Transcribed Image Text:An airliner passes over an airport at noon traveling 510 mi/ hr due east. At 1:00 p.m., another airliner passes over the same airport at the same elevation traveling due north at 570 mi / hr. Assuming both airliners maintain their (equal) elevations, how fast is the distance between them changing at 3:00 p.m.? The equation relating the horizontal distance between the first airliner and the airport, a, the horizontal distance between the second airliner and the airport, b, and the horizontal distance between the two airliners, c is Differentiate both sides of the equation with respect to t. da db dc + dt dt dt (Do not simplify.) At 3:00 p.m., the distance between the airliners is changing at a rate of about (Round to the nearest tenth as needed.)
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