Chapter 14: Q. 7 (page 1106)

For each integral in Exercises 5–8, give the vector field that is being integrated.
$\int_{C} x y^{2} d x + (x y - z) d y + \cos y d z$

Short Answer

Expert verified

The vector field that is being integrated is $F (x, y, z) = x y^{2} i + (x y - z) j + \cos y k$ .

Step by step solution

Step 1. Given Information

For given integral in exercises we have to give the vector field that is being integrated.

$\int_{C} x y^{2} d x + (x y - z) d y + \cos y d z$

Step 2. We have to find the vector field that is being integrated.

The given integration is

$\int_{C} x y^{2} d x + (x y - z) d y + \cos y d z$

So the vector field should be

$F (x, y, z) = x y^{2} i + (x y - z) j + \cos y k$

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For each integral in Exercises 5–8, give the vector field that is being integrated.
$\int_{C} x y^{2} d x + (x y - z) d y + \cos y d z$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. We have to find the vector field that is being integrated.

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For each integral in Exercises 5–8, give the vector field that is being integrated.∫Cxy2dx+(xy−z)dy+cosydz

Short Answer

Step by step solution

Step 1. Given Information

Step 2. We have to find the vector field that is being integrated.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

For each integral in Exercises 5–8, give the vector field that is being integrated.
$\int_{C} x y^{2} d x + (x y - z) d y + \cos y d z$