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3 years ago

The following exchange rate is given: £1=1.35 Dollars. Convert £9 into dollars

Mathematics

1 answer:

alexandr1967 [171]3 years ago

3 0

Answer:

$12.15

Step-by-step explanation:

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2 years ago

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3 years ago

Which expression can be used to find 80% of 120?

Vinil7 [7]

Answer:

C.(0.8) (120)

Step-by-step explanation:

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3 years ago

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If one angle of a triangle is 90°, then the other two add to 90°.<br> Write the To Prove statement

ratelena [41]

A triangle has three angles, and all of them adds up to 180 degrees. Therefore, if one angle is 90 degrees, the other two angles must add up to 90 degrees in order for the angles to equal 180 degrees.

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3 years ago

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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

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

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4 years ago