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3 years ago

Which number has the same value as the digit 8 in the number 41.089???

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

8 0

The 8 would be in the hundredths place. I hope this helped. :) Brainliest answer? :)

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Use the divergence theorem to calculate the surface integral s f · ds; that is, calculate the flux of f across s. f(x, y, z) = x

valkas [14]

$\mathbf f(x,y,z)=x^4\,\mathbf i-x^3z^2\,\mathbf j+4xy^2z\,\mathbf k$
$\mathrm{div}(\mathbf f)=\dfrac{\partial(x^4)}{\partial x}+\dfrac{\partial(-x^3z^2)}{\partial y}+\dfrac{\partial(4xy^2z)}{\partial z}=4x^3+0+4xy^2=4x(x^2+y^2)$

Let $\mathcal D$ be the region whose boundary is $\mathcal S$ . Then by the divergence theorem,

$\displaystyle\iint_{\mathcal S}\mathbf f\cdot\mathrm d\mathbf S=\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV$

Convert to cylindrical coordinates, setting

$x=r\cos\theta$
$y=r\sin\theta$

and keeping $z$ as is. Then the volume element becomes

$\mathrm dV=r\,\mathrm dr\,\mathrm d\theta\,\mathrm dz$

and the integral is

$\displaystyle\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}\int_{z=0}^{z=r\cos\theta+7}4r\cos\theta\cdot r^2\cdot r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle4\iiint_{\mathcal D}r^4\cos\theta\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\dfrac{2\pi}3$

4 0

3 years ago

The blue segment below is a diameter of O. What is the length of the radius of the circle?

svlad2 [7]

Diameter= 2 times the radius

2r=d
2r=10.2
R= 10.2/2
R=5.1

Therefore, the radius is 5.1 units which makes the answer choice C correct.

Hopefully, this helps!

5 0

2 years ago

Read 2 more answers

Subtract -5x^2+2x-5−5x <br> 2<br> +2x−5 from 7x^2-47x <br> 2<br> −4.

marta [7]

Answer:

-12x^2+46x-6

Step-by-step explanation:

combine like tens and subtract then from eachother

5 0

2 years ago

An item is regularly priced at

jekas [21]

85% = 0.85

1-0.85 = 0.15

80 x 0.15 = 12

the price now is $12

7 0

3 years ago

A shoe making company makes 256 pairs of boots in a day how many pairs of boots do they make in 260 days

My name is Ann [436]

Answer:

66560 pairs

Step-by-step explanation:

let the number of pairs of boots the company makes in 260 days = X

1day -----------------256pairs

260days-------------X

cross multiplying

1×X = 260×256

X= 66560

therefore, in 260days, he makes 66560 pairs

8 0

2 years ago