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Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640

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BuyFindarrow_forward

Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640
Textbook Problem

BOYLE’S Law As a consequence of Boyle’s Law. the pressure P of a fixed sample of gas held at a constant temperature is related to the volume V of the gas by the rule

P = f ( V ) = k V

where it is a constant. What is the domain of the function f? Sketch the graph of the function f.

To determine
The domain of the given function and sketch the graph of the function.

Explanation

Given:

The Boyles function is given by P=f(V)=kV .

Calculation:

Section1:

The given function is,

P=f(V)=kV , where, k is a constant.

The above function is defined for all values real values of V except for 0. And also the volume cannot be negative.

The function is defined for all positive real values.

Thus, the domain of the function is (0,) .

Section2:

To sketch the graph of the function f(V)=kV .

For k=1 the function becomes f(V)=1V

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P-23RECh-2 P-24RECh-2 P-25RECh-2 P-26RECh-2 P-27RECh-2 P-28RECh-2 P-29RECh-2 P-30RECh-2 P-31RECh-2 P-32RECh-2 P-33RECh-2 P-34RECh-2 P-35RECh-2 P-36RECh-2 P-37RECh-2 P-38RECh-2 P-39RECh-2 P-40RECh-2 P-41RECh-2 P-42RECh-2 P-43RECh-2 P-44RECh-2 P-45RECh-2 P-46RECh-2 P-47RECh-2 P-48RECh-2 P-49RECh-2 P-50RECh-2 P-51RECh-2 P-52RECh-2 P-53RECh-2 P-54RECh-2 P-55RECh-2 P-56RECh-2 P-57RECh-2 P-58RECh-2 P-59RECh-2 P-60RECh-2 P-61RECh-2 P-62RECh-2 P-63RECh-2 P-64RECh-2 P-1BMCh-2 P-2BMCh-2 P-3BMCh-2 P-4BMCh-2 P-5BMCh-2 P-6BM

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