# The equation given that the statement ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.11, Problem 37E
To determine

## To find:The equation given that the statement

Expert Solution

The equation is Pn=4P

### Explanation of Solution

Given:

P varies jointly as A or P is jointly proportional to Aandv

Concept used:

If the quantities x , y and z are related by an equation

z=kxy

Where k is nonzero constant

That is z varies jointly as x or z isjointly proportional to xandy

The constant k is called constant proportionality

Calculation:

If the quantities P,A and v are related by an equation

PαAv3

P=kAv3

For some constant k0

That is P varies jointly as A or P is jointly proportional to Aandv

The constant k is called constant proportionality

The velocity is doubled vn=2v

The cross sectional area is An=A2

The factor of the power is increase

Pn=k×A2×(2v)3Pn=4kAv3Pn=4P

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