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2 years ago

Say True or false 1.all relations are functions ?

Mathematics

1 answer:

Elena L [17]2 years ago

8 0

Answer is false, because every function is a relation but every relation is not a function :) (Please mark me brainliest)

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Written as a simplified polynomial in standard form, what is the result when

kompoz [17]

$2x-8 - (2x+7)^2\\\\=2x-8 -(4x^2 + 2\cdot 2x \cdot 7 + 7^2)\\\\=2x-8-(4x^2 + 28x +49)\\\\=2x - 8 -4x^2-28x -49\\\\=-4x^2 -26x -57\\\\$

8 0

1 year ago

Find the arc length of the partial circle.

Maru [420]

Answer:

$11$

Step-by-step explanation:

$\frac{90}{360} \times 2 \times \pi \times 7 \\ \frac{1}{4} \times 2 \times \frac{22}{7} \times 7 \\ = 11$

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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

Paulita reads an average of 20 pages each day. She has 6 days to read 100 pages. Will she finish her reading in 6 days? Explain

densk [106]

Yes because 20x6=120 so she will possibly read more pages. Yes, she will finish her reading in 6 days

7 0

3 years ago

Which statement best describes the value of the expression 42 - (20 +<br> 3)? *

ludmilkaskok [199]

Answer:

The bottom one: The value is the difference of 42 and the sum of 20 and 3.

Step-by-step explanation:

The answer is what you get when you subtract 23 from 42. Using "the difference" means subtraction is involved and you expression is 42 - (minus) (20+3).

5 0

2 years ago

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Say True or false 1.all relations are functions ?​

Say True or false 1.all relations are functions ?