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choli [55]
3 years ago
14

Choose all that give the correct solution for the system of equations.

Mathematics
1 answer:
vlabodo [156]3 years ago
7 0
C because its true and its 6x+4-2 which gets c
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Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of
Law Incorporation [45]

Answer:

Step-by-step explanation:

To solve this problem, we will use the following two theorems/definitions:

- Given a vector field F of the form (P(x,y,z),Q(x,y,z),W(x,y,z)) then the divergence of F denoted by \nabla \cdot F = \frac{\partial P}{\partial x}+\frac{\partial Q}{\partial y}}+\frac{\partial W}{\partial z}

- (Gauss' theorem)Given a closed surface S, the following applies

\int_{S} F\cdot \vec{n} dS = \int_{V} \nabla \cdot F dV

where n is the normal vector pointing outward of the surface and V is the volume bounded by the surface S.

Let us, in our case, calculate the divergence of the given field. We have that

\nabla \cdot F = \frac{\partial}{\partial x}(x)+\frac{\partial}{\partial y}(2y)+ \frac{\partial}{\partial z}(5z) = 1+2+5 = 8

Hence, by the Gauss theorem we have that

\int_{S} F\cdot \vec{n} dS = \int_{V} 8 dV = 8\cdot\text{Volume of V}

So, we must calculate the volume V bounded by the cube S.

We know that the vertices are located on the given points. We must determine the lenght of the side of the cube. To do so, we will take two vertices that are on the some side and whose coordinates differ in only one coordinate. Then, we will calculate the distance between the vertices and that is the lenght of the side.

Take the vertices (1,1,1) and (1,1-1). The distance between them is given by

\sqrt[]{(1-1)^2+(1-1)^2+(1-(-1)^2} = \sqrt[]{4} = 2.

Hence, the volume of V is 2\cdot 2 \cdot 2 = 8. Then, the final answer is

\int_{S} F\cdot \vec{n} dS =8\cdot 8 = 64

5 0
3 years ago
How i can write that numbers in letters/ como los escriboo en letras
Klio2033 [76]
Six hundred ninty three thousand, five thousand six hundred ninty nine

Three hundred fourty thousand two thousand and eighty nine

I’m confused on the comma for the last 2?
7 0
3 years ago
Find the value of x in 2x+20=3x-8
Savatey [412]

Answer:

X=28

Step-by-step explanation:

3x-8=2x+20. So x=28

8 0
3 years ago
Read 2 more answers
In the equation y = kx, what does the variable k represent?
anyanavicka [17]

Answer:

I think it B but I really don't know cause need like an example

8 0
3 years ago
Subtracting fractions...please show your work and out in simplest form
Neporo4naja [7]
For (A.) Get a common denominator, 40/12 - 9/12 = 31/12 or (2 and 7/12)
For (B.) Get a common denominator, 24/15 - 10/15 = 14/15 (Simplified)
For (C.) Get a common denominator, 51/30 - 25/30 = 26/30 or (13/15)
For (D.) Get a common denominator, 14/6 - 9/6 = 5/6 (Simplified)

Hope this helps!
PS: (Rate me brainliest?)
3 0
3 years ago
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