The flow of a small stream is monitored for 90 days between May 1 and August 1.

Question:

The flow of a small stream is monitored for 90 days between May 1 and August 1. The total water that flows past a gauging station is given by

if 0 < t < 45 5 V(1) = 4 180 t + 4050) if 45 < t < 90, 5

where V is measured in cubic feet and t is measured in days, with t = 0 corresponding to May 1.

a. Graph the volume function.

b. Find the flow rate function V'(t) and graph it. What are the units of the flow rate?

c. Describe the flow of the stream over the 3-month period. Specifically, when is the flow rate a maximum?

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: