3 years ago

Solve for y -x - 2y=8

Mathematics

2 answers:

Papessa [141]3 years ago

6 0

Substitute y=0
0-x-2 x 0= 8
-x-0=8
-x=8
Change the signs on both sides
X=-8

german3 years ago

5 0

Answer:y=4

Step-by-step explanation:

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2 years ago

Use Green's Theorem to calculate the circulation of F =2xyi around the rectangle 0≤x≤8, 0≤y≤3, oriented counterclockwise.

Tamiku [17]

Green's theorem says the circulation of $\vec F$ along the rectangle's border $C$ is equal to the integral of the curl of $\vec F$ over the rectangle's interior $D$ .

Given $\vec F(x,y)=2xy\,\vec\imath$ , its curl is the determinant

$\det\begin{bmatrix}\frac\partial{\partial x}&\frac\partial{\partial y}\\2xy&0\end{bmatrix}=\dfrac{\partial(0)}{\partial x}-\dfrac{\partial(2xy)}{\partial y}=-2x$