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 26E
To determine

To find:The equation given that the statement

Expert Solution

The equation is k=(9LW)2

Explanation of Solution

Given:

H is jointly proportional to LandW

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 H,L and W are related by an equation

HαL2W2

H=kL2W236=k×22(13)2k=36(9)4k=92k=(9LW)2

For some constant k0

That is H varies jointly as W or H is jointly proportional to LandW

The constant k is called constant proportionality

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