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2. Water is being poured into a spherical bowl of radius 4 cm at a rate of 2 cm/s. How fast is the water level rising when it is at 2 cm? Hint: The volume of a hemispherical bowl of radius R when the height of the water is y is: v = (3R-y)

2. Water is being poured into a spherical bowl of radius 4 cm at a rate of 2 cm/s. How fast is the water level rising when it is at 2 cm? Hint: The volume of a hemispherical bowl of radius R when the height of the water is y is: v = (3R-y)

Calculus: Early Transcendentals
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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2. Water is being poured into a spherical bowl of radius 4 cm at a rate of 2 cm/s. How fast is the water level rising when it is at 2 cm? Hint: The volume of a hemispherical bowl of radius R when the height of the water is y is: v ==y° (3R-y) 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?
Transcribed Image Text:2. Water is being poured into a spherical bowl of radius 4 cm at a rate of 2 cm/s. How fast is the water level rising when it is at 2 cm? Hint: The volume of a hemispherical bowl of radius R when the height of the water is y is: v ==y° (3R-y) 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?
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