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 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) ...

a b This is in cubic feet per day c ...

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?

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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: Feb 08, 2019 12:33 PM

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

Question:

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

Step by Step Answer:

a b This is in cubic feet per day c ...View the full answer

Calculus Early Transcendentals

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