3. Airplane A is 500 km south of airplane B. Plane A is flying 600 km/h going south while plane B is flying 800 km/h going west. If the two planes are of the same altitude, how fast is the distance between them changing after 2 hours?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
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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3. Airplane A is 500 km south of airplane B. Plane A is flying 600 km/h going south
while plane B is flying 800 km/h going west. If the two planes are of the same
altitude, how fast is the distance between them changing after 2 hours?
4. A man is walking beside a 30-m street lamp. After walking 25 m away from the
street lamp, he sunk into a quicksand. At the time when 2 m of him are above the
ground, he is sinking at 1 m/s. At what rate is the length of his shadow changing at
that moment?
Transcribed Image Text:3. Airplane A is 500 km south of airplane B. Plane A is flying 600 km/h going south while plane B is flying 800 km/h going west. If the two planes are of the same altitude, how fast is the distance between them changing after 2 hours? 4. A man is walking beside a 30-m street lamp. After walking 25 m away from the street lamp, he sunk into a quicksand. At the time when 2 m of him are above the ground, he is sinking at 1 m/s. At what rate is the length of his shadow changing at that moment?
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