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Dennis_Churaev [7]

3 years ago

14

The car advertisement claims that there car can go from a stop position to 60 mph in five seconds this advertisement describes t

he car’s
Acceleration
Speed
Velocity
Direction

1 answer:

Elanso [62]3 years ago

5 0

The answer is c. velocity

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Elena L [17]

Answer:

The answer is a the first bubble

Step-by-step explanation:

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3 years ago

Write an equation to represent this situation: Kelly earns $9.50 per hour that she baby-sits. Use T to represent total earned an

KATRIN_1 [288]

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3 0

3 years ago

Find the flux of F = x^3 i + y^3 j + z^3k through the closed surface bounding the solid region x^2 + y^2 ≤ 4, 0 ≤ z ≤ 4

givi [52]

Use the divergence theorem. Let $R$ be the cylindrical region, then

$\displaystyle\iint_{\partial R}\mathbf F\cdot\mathbf n\,\mathrm dS=\iiint_R\nabla\cdot\mathbf F\,\mathrm dV$

(where $\mathbf n$ denotes the unit normal vector to $\partial R$ , but we don't need to worry about it now)

We have

$\mathrm{div }\mathbf F=(\nabla\cdot\mathbf F)(x,y,z)=\dfrac{\partial\mathbf F}{\partial x}+\dfrac{\partial\mathbf F}{\partial y}+\dfrac{\partial\mathbf F}{\partial z}$
$\nabla\cdot\mathbf F=3x^2+3y^2+3z^2$

For the solid $R$ with boundary $\partial R$ , we can set up the following volume integral in cylindrical coordinates for ease:

$\displaystyle3\iiint_R(x^2+y^2+z^2)\,\mathrm dV=3\int_{z=0}^{z=4}\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=2}(r^2+z^2)r\,\mathrm dr\,\mathrm d\theta\,\mathrm dz$
$=\displaystyle6\pi\int_{z=0}^{z=4}\int_{r=0}^{r=2}(r^3+rz^2)\,\mathrm dr\,\mathrm dz$
$=\displaystyle12\pi\int_{z=0}^{z=4}(2+z^2)\,\mathrm dz$
$=352\pi$

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3 years ago

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aniked [119]

Answer:

Can u take another picture so I can see the data?

4 0

3 years ago

Read 2 more answers

Salsk061 [2.6K]

Sorry...I dont understand......

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4 years ago