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 550 mi / hr. Assuming both airliners maintain their (equal) elevations, how fast is the distance between them changing at 2:30 p.m.?

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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Differentiate both sides of the equation with respect to t.
da
db
dc
+
dt
%3D
dt
dt
(Do not simplify.)
At 1:00pm - the distance between the airliners is changing at a rate of about
(Round to the nearest tenth as needed.)
Transcribed Image Text:Differentiate both sides of the equation with respect to t. da db dc + dt %3D dt dt (Do not simplify.) At 1:00pm - the distance between the airliners is changing at a rate of about (Round to the nearest tenth as needed.)
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 550 mi / hr. Assuming both airliners maintain their (equal) elevations, how fast is the distance between them changing at 2:30 p.m.?
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 550 mi / hr. Assuming both airliners maintain their (equal) elevations, how fast is the distance between them changing at 2:30 p.m.?
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