The National Ignition Facility at the Lawrence Livermore National Laboratory maintains the world's largest laser facility. The lasers, which are used to start a nuclear fusion reaction, are powered by a capacitor bank that stores a total of about 400 megajoules of energy. When the lasers are fired the capacitors discharge completely and then immediately begin recharging. The charge Q of the capacitors t seconds after the discharge is given by the following formula. Q(t) = Qo(1 - e-t/a) (The maximum charge capacity is Qo, and t is measured in seconds.) (a) Find a formula for the inverse of this function. (Use Q for Q(t).) t = Explain its meaning. This formula gives the charge a achieved at a given time t after a discharge. This formula gives the time t needed after discharge to obtain a given charge a. This formula gives the time t needed after a discharge to obtain a given charge Q. ○ This formula gives the charge Q achieved at a given time t after a discharge. This formula gives the charge Qo achieved at a given time t after a discharge. (b) How long (in s) does it take to recharge the capacitors to 80% of capacity if a = 40? (Round your answer to one decimal place.)
The National Ignition Facility at the Lawrence Livermore National Laboratory maintains the world's largest laser facility. The lasers, which are used to start a nuclear fusion reaction, are powered by a capacitor bank that stores a total of about 400 megajoules of energy. When the lasers are fired the capacitors discharge completely and then immediately begin recharging. The charge Q of the capacitors t seconds after the discharge is given by the following formula. Q(t) = Qo(1 - e-t/a) (The maximum charge capacity is Qo, and t is measured in seconds.) (a) Find a formula for the inverse of this function. (Use Q for Q(t).) t = Explain its meaning. This formula gives the charge a achieved at a given time t after a discharge. This formula gives the time t needed after discharge to obtain a given charge a. This formula gives the time t needed after a discharge to obtain a given charge Q. ○ This formula gives the charge Q achieved at a given time t after a discharge. This formula gives the charge Qo achieved at a given time t after a discharge. (b) How long (in s) does it take to recharge the capacitors to 80% of capacity if a = 40? (Round your answer to one decimal place.)
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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![The National Ignition Facility at the Lawrence Livermore National Laboratory maintains the world's largest laser facility. The lasers, which are used to start a nuclear fusion reaction, are powered by a
capacitor bank that stores a total of about 400 megajoules of energy. When the lasers are fired the capacitors discharge completely and then immediately begin recharging. The charge Q of the capacitors
t seconds after the discharge is given by the following formula.
Q(t) = Q(1 - e-t/a)
(The maximum charge capacity is Qo, and t is measured in seconds.)
(a) Find a formula for the inverse of this function. (Use Q for Q(t).)
t =
Explain its meaning.
This formula gives the charge a achieved at a given time t after a discharge.
This formula gives the time t needed after a discharge to obtain a given charge a.
This formula gives the time t needed after a discharge to obtain a given charge Q.
This formula gives the charge Q achieved at a given time t after a discharge.
This formula gives the charge Qo achieved at a given time t after a discharge.
оо
(b) How long (in s) does it take to recharge the capacitors to 80% of capacity if a = 40? (Round your answer to one decimal place.)
S](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F20e41870-172d-4a2d-898a-409384e444b2%2F730521b1-9654-422d-9a28-0bbeadb94dc7%2F4hy1x0s_processed.png&w=3840&q=75)
Transcribed Image Text:The National Ignition Facility at the Lawrence Livermore National Laboratory maintains the world's largest laser facility. The lasers, which are used to start a nuclear fusion reaction, are powered by a
capacitor bank that stores a total of about 400 megajoules of energy. When the lasers are fired the capacitors discharge completely and then immediately begin recharging. The charge Q of the capacitors
t seconds after the discharge is given by the following formula.
Q(t) = Q(1 - e-t/a)
(The maximum charge capacity is Qo, and t is measured in seconds.)
(a) Find a formula for the inverse of this function. (Use Q for Q(t).)
t =
Explain its meaning.
This formula gives the charge a achieved at a given time t after a discharge.
This formula gives the time t needed after a discharge to obtain a given charge a.
This formula gives the time t needed after a discharge to obtain a given charge Q.
This formula gives the charge Q achieved at a given time t after a discharge.
This formula gives the charge Qo achieved at a given time t after a discharge.
оо
(b) How long (in s) does it take to recharge the capacitors to 80% of capacity if a = 40? (Round your answer to one decimal place.)
S
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