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3 years ago

What is another way to write -3 x (4 + 7)

Mathematics

1 answer:

KIM [24]3 years ago

4 0

Negative 3 and the product of 4 more than 7

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Calculate the integral s f · ds, where s is the entire surface of the solid half ball x2 + y2 + z2 ≤ 1, z ≥ 0, and f = (x + 3y5)

SSSSS [86.1K]

The divergence theorem applies since $\mathcal S$ is a closed surface. We have

$\displaystyle\iint_{\mathcal S}\mathbf f(x,y,z)\cdot\mathrm d\mathbf S=\iiint_{\mathcal V}\nabla\times\mathbf f(x,y,z)\,\mathrm dV$

where $\mathcal V$ is the space enclosed by the surface $\mathcal S$ . The divergence of the given vector field is

$\nabla\times\mathbf f(x,y,z)=\dfrac{\partial(x+3y^5)}{\partial x}+\dfrac{\partial(y+10xz)}{\partial y}+\dfrac{\partial(z-xy)}{\partial z}=1+1+1=3$

So we can write the volume integral (in spherical coordinates) as

$\displaystyle3\iiint_{\mathcal V}\,\mathrm dV=3\int_{\varphi=0}^{\varphi=\pi/2}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=0}^{\rho=1}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=\frac{4\pi}3$

6 0

3 years ago

Can anyone help me with these

Studentka2010 [4]

The answer is C

Trust me

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3 years ago

What is the scale factor in the dilation?

Bumek [7]

The scale factor of the given dilation is 3.

Step-by-step explanation:

Step 1:

In order to determine the scale factor, we divide the measurement after scaling by the same measurement before scaling.

In the given graph, the preimage has a length of 3 units while the image has a length of 9 units.

Step 2:

So here the measurement after scaling is the length of the image which is 9 units and the measurement before scaling is the preimages length of 3 units.

The scale factor $=\frac{9}{3} = 3.$

So the scale factor is the third option 3.

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3 years ago

Select all the statements that describe the expression 5 + 2x. *

mixer [17]

B the new one update is not a good app but it needs a new phone version for a new

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3 years ago

M is directly proportinal to r^2 when r = 2 m= 14 work out the value of m

attashe74 [19]

Answer:

14?

Step-by-step explanation:

4 0

3 years ago

What is another way to write -3 x (4 + 7)​

What is another way to write -3 x (4 + 7)