A large tank is filled with water when an outflow valve is opened at t 0 Water flows out at a rate, in gal min, given by Q '(t) 0 1(100 t 2 ), for 0 t 10 a Find the amount of water Q(t) that has flowed out of the tank after t minutes, given the initial condition Q(0) 0 b Graph the flow function Q, ...

A large tank is filled with water when an outflow valve is opened at t = 0.

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A large tank is filled with water when an outflow valve is opened at t = 0. Water flows out at a rate, in gal/min, given by Q'(t) = 0.1(100 - t²), for 0 ≤ t ≤ 10.

a. Find the amount of water Q(t) that has flowed out of the tank after t minutes, given the initial condition Q(0) = 0.

b. Graph the flow function Q, for 0 ≤ t ≤ 10.

c. How much water flows out of the tank in 10 min?

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Related Book For answer-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Mar 05, 2019 07:20 AM

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A large tank is filled with water when an outflow valve is opened at t = 0.

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a We have Qt 01 100 t 2 dt ...View the full answer

Calculus Early Transcendentals

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