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Chapter 14: Q. 16 (page 1140)

Given an integral of the form $\iint_{S} curl F (x, y, z) \times n d S,$ what considerations would lead you to evaluate the integral with Stokes’ Theorem?

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01

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Most popular questions from this chapter

Problem Zero: Read the section and make your own summary of the material.

$Compute the divergence of the vector fields in Exercises 17 - 22 . F (x, y) = {yx}^{2} i - x cosy j$

Find the integral of $f (x, y, z) = x - y - z$ on the portion of the plane with the equation

$10 x - \sqrt{33} y + 36 z = 30$ with 2 ≤ x ≤ 7 and 1 ≤ z ≤ 2.

Find the area of S is the portion of the plane with equation x = y + z that lies above the region in the xy-plane that is bounded by y = x, y = 5, y = 10, and the y-axis.

What are the outputs of a vector field in $ℝ^{3}$ ?

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