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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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4. A beach ball is deflating at a constant rate of 10 cubic centimeters per second. When the volume of the ball is z cubic centimeters, what is the rate of the change of the surface area? (S = 4xr and V = 4ar') 5. The height of grain in a cylindrical silo is increasing at a constant rate of 4 feet per minute. At what rate is the volume of grain in the cylinder increasing if the radius of the silo is 10 feet? ( V = ar'h) 6. Water is poured into a conical tank that is 24 feet tall and has a diameter at the top of 20 feet. ( v = +ar'h) a) When the volume of the water is increasing at 3 cubic feet per minute and the height of the water is 2 feet, at what rate is the height of the water changing? b) The radius of the surface of the water in the tank is increasing at 0.75 feet per minute. At what rate is the area of the surface changing when the radius is 42 fet?
Transcribed Image Text:4. A beach ball is deflating at a constant rate of 10 cubic centimeters per second. When the volume of the ball is z cubic centimeters, what is the rate of the change of the surface area? (S = 4xr and V = 4ar') 5. The height of grain in a cylindrical silo is increasing at a constant rate of 4 feet per minute. At what rate is the volume of grain in the cylinder increasing if the radius of the silo is 10 feet? ( V = ar'h) 6. Water is poured into a conical tank that is 24 feet tall and has a diameter at the top of 20 feet. ( v = +ar'h) a) When the volume of the water is increasing at 3 cubic feet per minute and the height of the water is 2 feet, at what rate is the height of the water changing? b) The radius of the surface of the water in the tank is increasing at 0.75 feet per minute. At what rate is the area of the surface changing when the radius is 42 fet?
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