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11th Edition

Ron Larson + 1 other

Publisher: Cengage Learning

ISBN: 9781337275378

Chapter 15.3, Problem 6E

Textbook Problem

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Line Integral of a Conservative Vector Field In Exercises 3-8, (a) show that F is conservative and (b) verify that the value of

is the same for each parametric representation of C.

(i)

(ii)

**(a)**

To determine

**To prove:** The vector field

**Given:**

The vector field

**Formula used:**

The partial differentiation of a function *x* is given as,

**Proof:**

As it is known that vector field

Where M and N are both differentiable

**(b)**

To determine

**To prove:** The value of

Multivariable Calculus

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