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If a tank holds 3500 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricelli's Law gives the volume V of water remaining in the tank after t minutes as 3500 (1 - 1) ² V = 3500 0 st≤ 50. Find the rate (in gal/min) at which water is draining from the tank after the following amounts of time. (Remember that the rate must be negative because the amount of water in the tank is decreasing.) (a) 5 min

If a tank holds 3500 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricelli's Law gives the volume V of water remaining in the tank after t minutes as 3500 (1 - 1) ² V = 3500 0 st≤ 50. Find the rate (in gal/min) at which water is draining from the tank after the following amounts of time. (Remember that the rate must be negative because the amount of water in the tank is decreasing.) (a) 5 min

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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If a tank holds 3500 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricelli's Law gives the volume V of water remaining in the tank after t minutes as 2 3500 (1 - 1) ² _t 50 V = Find the rate (in gal/min) at which water is draining from the tank after the following amounts of time. (Remember that the rate must be negative because the amount of water in the tank is decreasing.) (a) 5 min (b) 10 min (c) 20 min (d) 50 min gal/min gal/min gal/min 0 ≤ t ≤ 50. gal/min At what time (in min) is the water flowing out the fastest? t = min At what time (in min) is the water flowing out the slowest? t = min
Transcribed Image Text:If a tank holds 3500 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricelli's Law gives the volume V of water remaining in the tank after t minutes as 2 3500 (1 - 1) ² _t 50 V = Find the rate (in gal/min) at which water is draining from the tank after the following amounts of time. (Remember that the rate must be negative because the amount of water in the tank is decreasing.) (a) 5 min (b) 10 min (c) 20 min (d) 50 min gal/min gal/min gal/min 0 ≤ t ≤ 50. gal/min At what time (in min) is the water flowing out the fastest? t = min At what time (in min) is the water flowing out the slowest? t = min
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