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Chapter 14: Q. 25 (page 1096)

Sketch the vector fields in Exercises 25–32.
$F (x, y) = 2 i + 0 j$

Short Answer

Expert verified

Sketch of the vector fields is

Step by step solution

01

Step 1. Given Information

We have to sketch the vector fields in the given exercises .

$F (x, y) = 2 i + 0 j$

02

Step 2. The given vector field F(x,y)=2i+0j

The graph of the vector field is

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Most popular questions from this chapter

$F (x, y, z) = 5 i + 13 j + 2 k$ , where S is the unit sphere, with n pointing outwards.

Compute n for the surface S in Exercise 12.

Find the work done by the vector field

$F (x, y) = (\cos x - 3 y e^{x}) i + \sin x \sin y j$

in moving an object around the periphery of the rectangle with vertices $(0, 0), (2, 0), (2, π)$ , and $(0, π)$ , starting and ending at $(2, π)$ .

Find the integral of $f (x, y, z) = z^{3} + z (x^{2} + 2^{y})$ on the portion of the unit sphere that lies in the first octant, above the rectangle $[0, \frac{1}{2}] \times [0, \frac{1}{3}]$ in the XY-plane.

Find $\int_{S} 1 d S$ , where S is the portion of the surface with equation $x = e^{y z} - e^{- y z}$ that lies on the positive side of the circle of radius 3 and centered at the origin in the yz-plane.

See all solutions

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