Is x + 2 is a factor of P(x) = 2x3 + 5x2 + 5x + 6? If so,

Mathematics

1 answer:

Klio2033 [76]2 years ago

4 0

Answer:

yes

P(x) = (x + 2)(2x² + x + 3)

Step-by-step explanation:

see attachment for step by step

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Find the curl and the divergence of the vector field f(x, y, z) = x2yz i + xy2z j + xyz2 k

xxTIMURxx [149]

$\mathbf f(x,y,z)=x^2yz\,\mathbf i+xy^2z\,\mathbf j+xyz^2\,\mathbf k$

$\mathrm{div}\mathbf f(x,y,z)=\dfrac{\partial(x^2yz)}{\partial x}+\dfrac{\partial(xy^2z)}{\partial y}+\dfrac{\partial(xyz^2)}{\partial z}$
$=2xyz+2xyz+2xyz$
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$\mathrm{curl}\mathbf f(x,y,z)=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\\\\frac\partial{\partial x}&\frac\partial{\partial y}&\frac\partial{\partial z}\\\\x^2yz&xy^2z&xyz^2\end{vmatrix}$
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4 years ago

What are the slope and the y-intercept of the linear function that is represented by the table? X -1, -1/2, 0, 1/2 Y -3/2, 0. 3/

JulijaS [17]

Answer: Slope: 3, Y-intercept: 3/2

Step-by-step explanation:

-1 -3/2

-1/2 0

0 3/2

1/2 3

Since we are given an x,y table, we can easily spot the y-intercept. The y-intercept has the x value of 0. Therefore, the y-intercept is 3/2.

Now, we can use the formula $m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$ to find the slope.