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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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True or False? In Exercises 59 and 60, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

1 1 2 2 y d y d x = 1 1 2 2 y d y d y

To determine

Whether the statement, “1122y dy dx=1122y dx dy” is true or false. Provide better explanation in case of false.

Explanation

Consider the statement,

1122y dy dx=1122y dx dy

In order to verify the statement solve and obtain the value of both the expressions separately.

First solve the expression 1122y dy dx which is on the left side as,

1122y dy dx=11[y22]22dx=110 dx=0

Now solve the expression &

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