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Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

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BuyFindarrow_forward

Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

True or false: In solving a related-rates problem, we substitute all numerical values into the equation before we take derivatives.

To determine

Whether the statement is true or false “In solving a related-rate problem, we substitute all numerical values into the equation before we take derivatives.”

Explanation

Given information:

The provided statement is,

“In solving a related-rate problem, we substitute all numerical values into the equation before we take derivatives”

Explanation:

Consider the statement,

“In solving a related-rate problem, we substitute all numerical values into the equation before we take derivatives”

The statement is false as,

The numerical value for any variable that is changing should not be substituted until after the derivative is taken.

For example,

Consider the equation,

V2=ar2

Where V=4, r=2 and a=4 also V and r are changing with time

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Chapter 11 Solutions

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