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Chapter 14: Q. 31 (page 1096)

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

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 .

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

02

Step 2. The given vector field F(x,y)=xi+2yj

The graph of the vector field is

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Most popular questions from this chapter

Why is $d A$ in Green’s Theorem replaced by $d S$ in Stokes’ Theorem?

Suppose that an electric field is given by

$E = 2 y i + 2 x y j + y z k$

Compute the flux $\int_{S} E \cdot n d A$ of the field through the unit cube $[0, 1] \times [0, 1] \times [0, 1]$ .

How would you show that a given vector field in $ℝ^{3}$ is not conservative?

Find the areas of the given surfaces in Exercises 21–26.

S is the lower branch of the hyperboloid of two sheets $z^{2} = x^{2} + y^{2} + 1$ that lies below the annulus determined by $1 \leq r \leq 2$ in the xy plane.

$Compute the divergence of the vector fields in Exercises 17 - 22 . F (x, y, z) = {xe}^{yz} i + {ye}^{xz} j + {ze}^{xy} k$

See all solutions

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