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miss Akunina [59]
3 years ago
13

Please help meeeeee please please please please please please please please please please please please please please please ple

ase please please please please please please please please please please please please please please please please please please please please please please please please please please please ik it’s kinda late

Mathematics
1 answer:
jeyben [28]3 years ago
7 0

Answer:

A.

Step-by-step explanation:

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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
Fynjy0 [20]

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
What is the square root of 312​
pishuonlain [190]

Answer:±17.6635217326557

Step-by-step explanation:

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2 years ago
Es The measure of an interior angle of a regular polygon is 120°. What is the measurb of each exterior angle? The polygon has
Troyanec [42]

The measure of each exterior angle is 60° and the polygon has 6 sides ⇒ 4th answer

Step-by-step explanation:

In a regular n-side polygon:

  • All sides are equal in lengths
  • All angles are equal in measure
  • The measure of each interior angle = \frac{(n-2)*180}{n}
  • The measure of each exterior angle = \frac{360}{n}
  • The sum of interior angle and exterior angle at a vertex is 180°

∵ The measure of an interior angle of a regular polygon is 120°

∵ The sum of interior angle and exterior angle at a vertex = 180°

∴ The measure of each exterior angle = 180 - 120

∴ The measure of each exterior angle = 60°

∵ The measure of each exterior angle = \frac{360}{n}

- Substitute the measure of the exterior angle by 60

∴ 60=\frac{360}{n}

- By using cross multiplication

∴ 60 n = 360

- Divide both sides by 60

∴ n = 6

∴ The polygon has 6 sides

The measure of each exterior angle is 60° and the polygon has 6 sides

Learn more:

You can learn more about polygons in brainly.com/question/6281564

#LearnwithBrainly

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3 years ago
You have a ribbon that is 6 7/8 inches long. You use 2/5 of it on a project. How much ribbon is left?
weqwewe [10]

Answer:

Oof

Step-by-step explanation:idk sorry

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3 years ago
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Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
sweet [91]

Answer:

  D.  Minimum at (3, 7)

Step-by-step explanation:

We can add and subtract the square of half the x-coefficient:

  y = x^2 -6x +(-6/2)^2 +16 -(-6/2)^2

  y = (x -3)^2 +7 . . . . . simplify to vertex form

Comparing this to the vertex for for vertex (h, k) ...

  y = (x -h)^2 +k

We find the vertex to be ...

  (3, 7) . . . . vertex

The coefficient of x^2 is positive (+1), so the parabola opens upward and the vertex is a minimum.

5 0
3 years ago
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