fast is the distance between the two cars changing?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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EXAMPLE 6.2.6 A road running north to south crosses a road going east to west at
the point P. Car A is driving north along the first road, and car B is driving east along the
second road. At a particular time car A is 10 kilometers to the north of P and traveling at
80 km/hr, while car B is 15 kilometers to the east of P and traveling at 100 km/hr. How
fast is the distance between the two cars changing?
(0, a(t)) •
e(t)
(6(t), 0)
Transcribed Image Text:EXAMPLE 6.2.6 A road running north to south crosses a road going east to west at the point P. Car A is driving north along the first road, and car B is driving east along the second road. At a particular time car A is 10 kilometers to the north of P and traveling at 80 km/hr, while car B is 15 kilometers to the east of P and traveling at 100 km/hr. How fast is the distance between the two cars changing? (0, a(t)) • e(t) (6(t), 0)
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