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3 years ago

An ivy contains 5 mg of drug per ml and the patient needs to receive 100mg per hour what is the infusion in ml/hr

Mathematics

1 answer:

SashulF [63]3 years ago

7 0

Answer:

patient is going to need to get 100ml/hr

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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

4 years ago

Una carretera recta tiene un ángulo de elevación de 3 grados respecto al plano horizontal. ¿Qué distancia hay que recorrer para

geniusboy [140]

Answer:

572.4 m

Step-by-step explanation:

Fórmula del ángulo de elevación =

tan θ = Opuesto / Adyacente

θ = 3 °

Opuesto = 30 m

Adyacente =?

Por eso

bronceado 3 = 30 m / x

Multiplicar cruzada

bronceado 3 × x = 30 m

x = 30 m / bronceado 3

x = 572.43410063m

Aproximadamente = 572.4 m

5 0

3 years ago

Carolyn watched two movies with her brother. They watched the first movie from 1:38 p.m. to 2:55 p.m. and the second movie from

Olegator [25]

Answer:

They watched movies for 2 hours and 52 minutes.

7 0

3 years ago

Simplify<br><br>pls help me ASAP

Strike441 [17]

$\dfrac{\left(\dfrac{4}{3}ab^3\right)\left(\dfrac{6}{2}a^4\right)}{a^5}=\dfrac{\left(\dfrac{\not4^2}{\not3_1}\cdot\dfrac{\not6^2}{\not2_1}\right)(aa^4)(b^3)}{a^5}=\dfrac{4a^5b^3}{a^5}=\boxed{4b^3}$

3 0

4 years ago

Reuben bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $150 more than the desktop. He p

cupoosta [38]

Same case as Pablo's, more or less.

a = price for the desktop

b = price for the laptop

we know the laptop is 150 bucks more than the desktop, b = a + 150.

how much is 7% of a? (7/100) * a, 0.07a.

how much is 9.5% of b? (9.5/100) * b, 0.095b.

total interests for the financing add up to 303, 0.07a + 0.095b = 303.

$\bf \begin{cases}
\boxed{b}=a+150\\
0.07a+0.095b=303\\
----------\\
0.07a+0.095\left(\boxed{a+150} \right)=303
\end{cases}
\\\\\\
0.07a+0.095a+14.25=303\implies 0.165a=288.75
\\\\\\
a=\cfrac{288.75}{0.165}\implies a=1750$

how much was it for the laptop? well b = a + 150.

8 0

3 years ago