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Solved: In 512, use Stokes theorem to evaluate C F d r. Assume C is oriented

Advanced Engineering Mathematics | 6th Edition | ISBN: 9781284105902 | Authors: Dennis G. Zill ISBN: 9781284105902 342

Solution for problem 12 Chapter 9.14

Advanced Engineering Mathematics | 6th Edition

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Advanced Engineering Mathematics | 6th Edition | ISBN: 9781284105902 | Authors: Dennis G. Zill

Advanced Engineering Mathematics | 6th Edition

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Problem 12

In 512, use Stokes theorem to evaluate C F d r. Assume C is oriented counterclockwise as viewed from above.

Step-by-Step Solution:
Step 1 of 3

L31 - 4 We now generalize this process: To find the area under the curve y = f(x) on [a,b]: Divide [a,b]io n subintervals using partition a = = b This creates n subintervals: Then consider n rectangles, one for each subinterval: Width ∆x = Height: f(x i, where x ii Area A can be approximated by the sum of the areas of the n rectangles: This sum is called a Riemann sum.

Step 2 of 3

Chapter 9.14, Problem 12 is Solved
Step 3 of 3

Textbook: Advanced Engineering Mathematics
Edition: 6
Author: Dennis G. Zill
ISBN: 9781284105902

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Solved: In 512, use Stokes theorem to evaluate C F d r. Assume C is oriented