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3 years ago

HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Genrish500 [490]3 years ago

6 0

Answer:

Well, I don't know how to graph it for you, but the slope is -2/3 and the point is (-9, 5). So, when you graph it, from the point (-9, 5), you can go 3 units to the right and 2 units down.

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A fluid has density 810 kg/m3 and flows with velocity v = z i + y2 j + x2 k, where x, y, and z are measured in meters and the co

mixas84 [53]

Denote the cylindrical surface by $S$ , and its interior by $R$ . By the divergence theorem, the integral of $\vec v$ across $S$ (the outward flow of the fluid) is equal to the integral of the divergence of $\vec v$ over the space it contains, $R$ :

$\displaystyle\iint_S\vec v\cdot\mathrm d\vec S=\iiint_R(\nabla\cdot\vec v)\,\mathrm dV$

The given velocity vector has divergence

$\vec v=z\,\vec\imath+y^2\,\vec\jmath+x^2\,\vec k\implies\nabla\cdot\vec v=\dfrac{\partial(z)}{\partial x}+\dfrac{\partial(y^2)}{\partial y}+\dfrac{\partial(x^2)}{\partial z}=2y$

Then the total outward flow is

$\displaystyle\iiint_R2y\,\mathrm dV$

Converting to cylindrical coordinates gives the integral

$\displaystyle2\int_0^{2\pi}\int_0^3\int_0^4r^2\sin\theta\,\mathrm dz\,\mathrm dr\,\mathrm d\theta=\boxed{0}$

6 0

3 years ago

What was the concentration of the drug 4 hour(s) after injection?

svetoff [14.1K]

Answer:

it's 47÷4=11 3/4 will be your final answer

5 0

3 years ago

Helppppppppppppp!!!!!

Marysya12 [62]

D cause u can round 8 to 10

5 0

3 years ago

Read 2 more answers

Write the following numbers in order of size.<br> Start with the smallest number.<br> -6, 6,-5,0,12

Scorpion4ik [409]

Answer:

-6,-5,0,6,12

Step-by-step explanation:

The negative numbers are obviously smaller than the positive ones :)

4 0

3 years ago

Read 2 more answers

F(x+1)+f(x+2)=2x+3; f(x)=?

Rama09 [41]

Answer:

$F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1$

Step-by-step explanation:

$1. \mathrm{Subtract\:}f\left(x+2\right)\mathrm{\:from\:both\:sides}\\
F\left(x+1\right)+f\left(x+2\right)-f\left(x+2\right)=2x+3f-f\left(x+2\right)

$

$2. \mathrm{Simplify}\\
F\left(x+1\right)=-xf+f+2x\\
$

$3. \mathrm{Divide\:both\:sides\:by\:}x+1;\quad \:x\ne \:-1\\
\frac{F\left(x+1\right)}{x+1}=-\frac{xf}{x+1}+\frac{f}{x+1}+\frac{2x}{x+1};\quad \:x\ne \:-1$

$4. \mathrm{Simplify}\\
F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1$

Final Answer: $F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1$

4 0

3 years ago