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joja [24]
3 years ago
14

PLZ HELP ME I NEED HELP PLZ HELP ME PLZ I DONT UNDERSTAND TWT

Mathematics
2 answers:
Natasha2012 [34]3 years ago
7 0
Question 6: 1
Question 5: 4
klio [65]3 years ago
3 0

Answer:

Question 5: 4

Question 6: 1

Step-by-step explanation:

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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
Please help and leave a small explanation if u want brainliest :)
mr Goodwill [35]

Answer:

B is true

Step-by-step explanation:

ratio of all corresponding sides are equal

3 0
3 years ago
Read 2 more answers
Please help :( can you explain and write the answer
GrogVix [38]

Answer:

f(x)=x-2

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: (−∞,∞),x|x ∈R}(-∞,∞),{x|x ∈R}

Range: (−∞,∞),{y|y∈R}

g(x)=x^2-3x+2

Domain: (−∞,∞),{x|x ∈R}(-∞,∞),{x|x ∈R}

Range: [−1/4,∞),{y∣y≥−1/4}

3 0
3 years ago
Z=y+mx. Solve for x. I need the answer fast
Simora [160]
If you want x, rearrange <span>Z=y+mx as follows:  mx = z - y.  Then div. all 3 terms by m:
        z-y
x = -------    (answer).
          m </span>
8 0
3 years ago
Simplify. 2 - 30 × 5
exis [7]
First you would do -30x5 which equals -150 then 2-150 equals -148
8 0
3 years ago
Read 2 more answers
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