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3 years ago

Easy question in photo

Mathematics

2 answers:

Alex3 years ago

8 0

Answer:

14

Step-by-step explanation:

always subtract the highest number from the lowest and I believe that is your range

olga_2 [115]3 years ago

3 0

Answer:

Step-by-step explanation:

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Determine whether the number describes a population parameter or a sample statistic. Explain your reasoning A survey of 2209 adu

natulia [17]

Answer:

idk

Step-by-step explanation:

3 0

3 years ago

G verify that the divergence theorem is true for the vector field f on the region

Alenkasestr [34]

$\mathbf f(x,y,z)=\langle z,y,x\rangle\implies\nabla\cdot\mathbf f=\dfrac{\partial z}{\partial x}+\dfrac{\partial y}{\partial y}+\dfrac{\partial x}{\partial z}=0+1+0=1$

Converting to spherical coordinates, we have

$\displaystyle\iiint_E\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV=\int_{\varphi=0}^{\varphi=\pi}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=0}^{\rho=6}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=288\pi$

On the other hand, we can parameterize the boundary of $E$ by

$\mathbf s(u,v)=\langle6\cos u\sin v,6\sin u\sin v,6\cos v\rangle$

with $0\le u\le2\pi$ and $0\le v\le\pi$ . Now, consider the surface element

$\mathrm d\mathbf S=\mathbf n\,\mathrm dS=\dfrac{\mathbf s_v\times\mathbf s_u}{\|\mathbf s_v\times\mathbf s_u\|}\|\mathbf s_v\times\mathbf s_u\|\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=\mathbf s_v\times\mathbf s_u\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=36\langle\cos u\sin^2v,\sin u\sin^2v,\sin v\cos v\rangle\,\mathrm du\,\mathrm dv$

So we have the surface integral - which the divergence theorem says the above triple integral is equal to -

$\displaystyle\iint_{\partial E}\mathbf f\cdot\mathrm d\mathbf S=36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}\mathbf f(x(u,v),y(u,v),z(u,v))\cdot(\mathbf s_v\times\mathbf s_u)\,\mathrm du\,\mathrm dv$
$=\displaystyle36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}(12\cos u\cos v\sin^2v+6\sin^2u\sin^3v)\,\mathrm du\,\mathrm dv=288\pi$

as required.

3 0

4 years ago

Please help! Use the Law of Cosines to find the values of x and y.

Romashka [77]

Answer:

x = 8.39

y = 55.2

Step-by-step explanation:

9² + 1² - 2(9)(1)cos(50) = x²

x = 8.39

9/sin(y) = x/sin(50)

sin(y) = 0.8215200692

y = 55.23724927

8 0

4 years ago

Which of the following describes an angle with a vertex at Y?

trapecia [35]

Answer:

The correct options are A and B.

Step-by-step explanation:

The angles are represented by three capital letters like: ABC or DEF. In these names middle letter represent the vertex of the angle.

The order or first and last letter does effect the angle. It means

$ABC=CBA$

We have to find the angle with a vertex at Y. It means the middle letter must be Y.

In option A and B the middle letter is Y, therefore both options are correct.

In option C and D the middle letter is not Y, therefore both options are incorrect.

3 0

3 years ago

Read 2 more answers

Has x-intercept of 5 and slope of -2/3

sveta [45]

Crosses x axis at (5,0) and slope -⅔. plug in to point slope formula to get
y=-⅔x-10/3

4 0

3 years ago