A tank holds 100 gallons of water, which drains from a leak at the bottom, causing the tank to empty in 50 minutes. According to Toricelli's Law, the volume V of water remaining in the tank after t min is given by the function = 100(1-)². V = f(t) = (a) Find f-1. F-² (1) = x What does f-1 represent? Of-1 represents the rate at which the tank leaks. Of1 represents the time that has elapsed since the tank started to leak. O f1 represents the volume of water that has leaked out of the tank. OF represents the time that remains for the tank to be empted. OF represents the water remaining in the tank t minutes after the tank started to leak. (b) Find f-1(11). (Round your answer to one decimal place.) F-1(11) = 33.4 What does your answer represent? OF-1(11) represents the rate at which the tank is leaking when 11 gallons have drained from the tank. F¹(11) represents the time that has elapsed when there are 11 gallons left in the tank. OF¹(11) represents the volume of water that has leaked out of the tank after 11 minutes. the time that remains for the tank to be emptied when 11 gallons have drained from the tank. STIC 4 40 C 5:59 PM 10/14/2022
A tank holds 100 gallons of water, which drains from a leak at the bottom, causing the tank to empty in 50 minutes. According to Toricelli's Law, the volume V of water remaining in the tank after t min is given by the function = 100(1-)². V = f(t) = (a) Find f-1. F-² (1) = x What does f-1 represent? Of-1 represents the rate at which the tank leaks. Of1 represents the time that has elapsed since the tank started to leak. O f1 represents the volume of water that has leaked out of the tank. OF represents the time that remains for the tank to be empted. OF represents the water remaining in the tank t minutes after the tank started to leak. (b) Find f-1(11). (Round your answer to one decimal place.) F-1(11) = 33.4 What does your answer represent? OF-1(11) represents the rate at which the tank is leaking when 11 gallons have drained from the tank. F¹(11) represents the time that has elapsed when there are 11 gallons left in the tank. OF¹(11) represents the volume of water that has leaked out of the tank after 11 minutes. the time that remains for the tank to be emptied when 11 gallons have drained from the tank. STIC 4 40 C 5:59 PM 10/14/2022
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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Transcribed Image Text:A tank holds 100 gallons of water, which drains from a leak at the bottom, causing the tank to empty in 50 minutes. According to Toricelli's Law, the volume V of water remaining in the
tank after t min is given by the function
V = f(t) = 100(1-5².
(a) Find f-1.
F-¹ (V) =
x
What does f-1 represent?
Of-1 represents the rate at which the tank leaks.
Of-¹ represents the time that has elapsed since the tank started to leak.
O f1 represents the volume of water that has leaked out of the tank.
OF¹ represents the time that remains for the tank to be empted.
OF represents the water remaining in the tank t minutes after the tank started to leak.
(b) Find f-1(11). (Round your answer to one decimal place.)
f-¹(11) = 33.4
What does your answer represent?
OF-1(11) represents the rate at which the tank is leaking when 11 gallons have drained from the tank.
F¹(11) represents the time that has elapsed when there are 11 gallons left in the tank.
OF¹(11) represents the volume of water that has leaked out of the tank after 11 minutes.
ou represents the time that remains for the tank to be emptied when 11 gallons have drained from the tank.
67°F
40) L
5:59 PM
10/14/2022
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