Can some answer these questions please?

Mathematics

1 answer:

Stels [109]3 years ago

3 0

B and A.
6 times as many free throws so 6(free throws) and same for rate of jump shots

Next is difference, which means subtraction of 3(number) and 2(number)
So 3x-2x

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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

A length of a rope is is stretched between the top edge of a building and a stake in the ground. The head of the steak is at gro

Vesna [10]

The building is 76 feet tall. Notice that there's a pair of similar triangles in this diagram: The top of the building, root of the building, and the stake form triangle 1. The top of the tree, root of the tree, and the stake form triangle 2. Since the root of the tree is half way between stake and building, the proportionality between the triangles is 2. Therefore, the building is twice as tall as the tree. 38*2=76.

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Answer:

62 days

Step-by-step explanation:

496/8 = 62

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3 years ago

Read 2 more answers

3x- 5=1 what does x represent