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2 years ago

Plz help me find sides M and N round to the nearest tenth

Mathematics

1 answer:

Sergio [31]2 years ago

6 0

Answer:

Step-by-step explanation:

gradpoint

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) Set up a double integral for calculating the flux of F=3xi+yj+zk through the part of the surface z=−5x−2y+2 above the triangle

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The surface (call it $S$ ) is a triangle with vertices at the points

$x=0,y=0\implies z=2\implies(0,0,2)$

$x=0,y=2\implies z=-2\implies(0,2,-2)$

$x=2,y=0\implies z=-8\implies(2,0,-8)$

Parameterize $S$ by

$\vec s(u,v)=(1-v)(2,0,-8)+v\bigg((1-u)(0,2,-2)+u(0,0,2)\bigg)=(2-2v,2v-2uv,-8+6v+4uv)$

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

$\vec s_v\times\vec s_u=(20v,8v,4v)$

Then the flux of $\vec F$ across $S$ is

$\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^1\int_0^1\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^1\int_0^1(6-6v,2v-2uv,-8+6v+4uv)\cdot(20v,8v,4v)\,\mathrm du\,\mathrm dv$

$=\displaystyle8\int_0^1\int_0^1(11v-10v^2)\,\mathrm du\,\mathrm dv=\boxed{\frac{52}3}$

8 0

3 years ago

If each of the following sequences is either arithmetic or geometric, continue the decimal patterns.

I am Lyosha [343]

Answer:

12.8, 11.6, 10.4, 9.2, 8.0, 6.8, 5.6

3, 1.5, 0.75, 0.375, 0.1875, 0.09375, 0.046875

Step-by-step explanation:

The first one is arithmetic as the pattern is deducting 1.2, second one is geometric as it is dividing 2.

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2 years ago

in order to be invited to tutoring or extension activities a student's performance must be at least 20 points higher or lower th

Ad libitum [116K]

Answer:

p ≤ 85 or p ≥ 125

Step-by-step explanation:

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3 years ago

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What’s the answer to this (-4y+5)-(2y+4)=

goldfiish [28.3K]

Answer:

You can only simplify it down to -6y+1

Step-by-step explanation:

Since there is nothing past the equals sign, there is no way to solve it, only a way to simplify it. Hope this helps!

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3 years ago

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HELP ME PLEASE!

gizmo_the_mogwai [7]

Is this on flvs because I'm on it also

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3 years ago

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Plz help me find sides M and N round to the nearest tenth​

Plz help me find sides M and N round to the nearest tenth