An airliner passes over an airport at noon traveling 500 mi / hr due east. At 1:00 p.m., another airliner passes over the same airport at the same elevation traveling due north at 580 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. dc 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.)
Unitary Method
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![An airliner passes over an airport at noon traveling 500 mi / hr due east. At 1:00 p.m., another airliner passes over
the same airport at the same elevation traveling due north at 580 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
(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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2dedb04f-ec8e-4d86-87d9-6910be748f13%2F8f4406f5-b11b-429d-81f3-977fec6005fa%2Fie6qa4_processed.png&w=3840&q=75)
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