3 years ago

What type of angle is formed where a line of latitude and a line of longitude cross?

Mathematics

1 answer:

weeeeeb [17]3 years ago

5 0

A grid system or an absolute location

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The antiderivative of 5x

Anni [7]

The antiderivate of 5x is 5x^2 / 2 .

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3 years ago

Which Expression is equivalent to 8x - 2y + x + x

Ray Of Light [21]

8x -2y + x+x simply combine like terms 8x+ x + x= 10x therefore 10x-2y is equivalent

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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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3 years ago

WHO EVER ANSWERS FIRST GETS BRSINLESTTTT!!!!!!

VLD [36.1K]

4+(-6)/(-2) = 7
5/2+(-3/2)=1
-3/4-5/6 = 1.58
5/8(-3/5) = -3/8

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3 years ago

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Can someone plz help with this asap

Lera25 [3.4K]

Answer:

Horizontal lines are parallel to the x-axis