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6. A hemispherical water tank, shown below has a radius of 6 meters and is losing water. The area of urface of the water is A = 12лh - nh² square meters, where h is the depth, in meters, of the water = tank. When h = 3 meters, the depth of the water is decreasing at a rate of meter per minute. At that nt, what is the rate at which the area of the water's surface is decreasing with respect to time?

6. A hemispherical water tank, shown below has a radius of 6 meters and is losing water. The area of urface of the water is A = 12лh - nh² square meters, where h is the depth, in meters, of the water = tank. When h = 3 meters, the depth of the water is decreasing at a rate of meter per minute. At that nt, what is the rate at which the area of the water's surface is decreasing with respect to time?

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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A hemispherical water tank. shown below has a radius of 6 meters and is losing water. The area of the surface of the water is A=12pih-pih^2 square meters, where h is the depth, in meters, of the water in the tank. When h=3 meters, the depth of the water is decreasing at a rate of -1/2 meters per minute. At that instant, what is the rate at which the area of the water's surface area is decreasing with respect to time?
6. A hemispherical water tank, shown below has a radius of 6 meters and is losing water. The area of the surface of the water is A = 12лh - Th² square meters, where h is the depth, in meters, of the water in the tank. When h = 3 meters, the depth of the water is decreasing at a rate of meter per minute. At that instant, what is the rate at which the area of the water's surface is decreasing with respect to time?
Transcribed Image Text:6. A hemispherical water tank, shown below has a radius of 6 meters and is losing water. The area of the surface of the water is A = 12лh - Th² square meters, where h is the depth, in meters, of the water in the tank. When h = 3 meters, the depth of the water is decreasing at a rate of meter per minute. At that instant, what is the rate at which the area of the water's surface is decreasing with respect to time?
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