Having stabilized the fuel, you look to your computer for next steps. You are told that the spacecraft uses a "start capacitor" that must reach a required voltage in order to start its engine. This voltage is determined by the fixed capacitance and charge as a function of time, g(t). These capacitors are charged and stored in your current location and must be brought to the spacecraft. Your computer provides you with the following definitions: Charge: The charge as a function of time is q(t) = f i(t) dt, where i (t) = 18+5 + 12t³ - 8 is the current as a function of time. You need to provide the computer with the function g (t) in order for it to appropriately charge the start capacitor. If an unknown constant is needed, it can be included using "+ C", being sure to use a capital letter as the lowercase is used for capacitance. q(t) = BM P

Calculus: Early Transcendentals
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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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Having stabilized the fuel, you look to your computer for next steps. You
are told that the spacecraft uses a "start capacitor" that must reach a
required voltage in order to start its engine. This voltage is determined by
the fixed capacitance and charge as a function of time, g(t). These
capacitors are charged and stored in your current location and must be
brought to the spacecraft. Your computer provides you with the following
definitions:
Charge: The charge as a function of time is q(t) = f i(t) dt,
where i (t) = 18+5 + 12t³
- 8 is the current as a function of time.
You need to provide the computer with the function g (t) in order for it to
appropriately charge the start capacitor. If an unknown constant is
needed, it can be included using "+ C", being sure to use a capital letter
as the lowercase is used for capacitance.
q(t)
=
BM P
Transcribed Image Text:Having stabilized the fuel, you look to your computer for next steps. You are told that the spacecraft uses a "start capacitor" that must reach a required voltage in order to start its engine. This voltage is determined by the fixed capacitance and charge as a function of time, g(t). These capacitors are charged and stored in your current location and must be brought to the spacecraft. Your computer provides you with the following definitions: Charge: The charge as a function of time is q(t) = f i(t) dt, where i (t) = 18+5 + 12t³ - 8 is the current as a function of time. You need to provide the computer with the function g (t) in order for it to appropriately charge the start capacitor. If an unknown constant is needed, it can be included using "+ C", being sure to use a capital letter as the lowercase is used for capacitance. q(t) = BM P
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