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

Question:

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?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

Question Posted: