How do u simplify 6 exponent 2

Find the flux of the following vector fields across the given surface with the specified orientation. You may use either an expl

BlackZzzverrR [31]

The tetrahedron passes through the intercepts (5, 0, 0), (0, 2, 0), and (0, 0, 10). Parameterize the surface (call it $\Sigma$ ) by

$\vec r(u,v)=(1-v)\langle5,0,0\rangle+v\left((1-u)\langle0,2,0\rangle+u\langle0,0,10\rangle\right)$

$\vec r(u,v)=\langle5(1-v),2(1-u)v,10uv\rangle$

with $0\le u\le1$ and $0\le v\le1$ . Take the normal vector to $\Sigma$ to be

$\vec r_v\times\vec r_u=\langle20v,50v,10v\rangle$

Then the flux of $\vec F(x,y,z)=\langle x,y,z\rangle$ across $\Sigma$ is

$\displaystyle\iint_\Sigma\vec F\cdot\mathrm d\vec S=\int_0^1\int_0^1\langle5(1-v),2(1-u)v,10uv\rangle\cdot\langle20v,50v,10v\rangle\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^1\int_0^1100v\,\mathrm du\,\mathrm dv=\boxed{50}$

6 0

4 years ago

Silicone implant augmentation rhinoplasty is used to correct congenital nose deformities. The success of the procedure depends o

Rus_ich [418]

<h2><u>Answer with explanation:</u></h2>

Let $\mu$ be the population mean strain in a way that conveys information about precision and reliability.

The sample mean is the best point estimate of the true population mean .

As per given , we have

Sample size : n= 12

degree of freedom : $df=12-1=11$

Sample mean : $\overline{x}=25.0$

The true average strain in a way that conveys information about precision and reliability= 25.0

sample standard deviation : s= 3.3

Significance level : $\alpha= 0.05$

Since sample population standard deviation is unknown , so we use t-test.

Critical t-value for t : $t_{\alpha/2, df}=t_{0.025, 11}=2.201$

95% Confidence interval for true average strain in a way that conveys information about precision and reliability:

$\overline{x}\pm t_{\alpha/2, df}\dfrac{s}{\sqrt{n}}$

$25.0\pm (2.201)\dfrac{3.3}{\sqrt{12}}\\\\=\approx 25.0\pm2.10\\\\=(25.0-2.10, 25.0+2.10)=(22.9,\ 27.1)$

The 95% Confidence interval for true average strain in a way that conveys information about precision and reliability: $(22.9,\ 27.1)$

We 95% confident that the true population average strain in a way that conveys information about precision and reliability lies between 22.9 and 27.1 .

4 0

4 years ago

What are the answers and why?

STALIN [3.7K]

Answer:

The selected answers are correct.

Step-by-step explanation:

The first step of the 3-step test for continuity is

check to see if the function is defined at the point. Here, the function h(-3) is defined as 5.

The second step of the 3-step test for continuity is

check to see if the limit exists at the point. Here, the limit is 2, coming at it either from the left or the right. (log6(36)=2; 16·2^-3=2)

The third step is

show the function value is the same as the limit at the point of interest. Here 5 ≠ 2, so there is a discontinuity at x=-3.

7 0

4 years ago

The Original Price of a 4ft×4ft Boards is $12.78, but when you buy 10 or more you pay $10.80. You only need 8, 4ft × 4ft Boards

Fittoniya [83]

:) I don’t know the answer .

6 0

3 years ago

Does anybody know this?

dedylja [7]

Answer:

here you go , all four completed, took me some time , hipe i was able to help you out tho

4 0

2 years ago