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nataly862011 [7]
4 years ago
10

Factor a number,variable or expression out of the polynomial below

Mathematics
1 answer:
GalinKa [24]4 years ago
6 0
B is the answer cause when u put them all in that what i got
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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
4 years ago
Find all points of intersections of the 2 circles defined by the equations
Anna71 [15]
Circle with the radius r=2 and the center (2,2)

Circle with the radius r=2 and the center (1,1)

(I’m out even sure that’s what i was supposed to do i didn’t even understand the question but maybe its correct NOT SURE )
4 0
3 years ago
Read 2 more answers
What is the radius of a hemisphere with a volume of 6496 (cm to the third power) to the nearest tenth of a centimeter?
professor190 [17]

Answer:

14.6cm

Step-by-step explanation:

The volume of a hemisphere is 2/3 × π × r³ → 6496 = 2/3 × π × r³. You can divide both sides by 2/3π to get r³ on its own → 3103.611531 = r³. To find r, cube root both sides → r = ∛3103.611531 = 14.5835... ≈ 14.6cm.

Hope this helps!

5 0
3 years ago
Read 2 more answers
If 2 angles have the same angle measure they are said to be what
DanielleElmas [232]

2 angles that have the same angle measure are congruent.

Given that the two angles have the same angle measure.

Congruence is a term reserved for geometry. Two metrics are congruent when you can perfectly map to each other by mirroring, rotating, and translating without distortion.

We know that two shapes or objects are congruent if they have the same shape and the same size. For two angles to be congruent, they must coincide when they are overlapped. This is only possible if the two angles are equal.

Therefore, if two angles have the same measure, then they are said to be congruent.

Learn more about congruent angle from here brainly.com/question/2938476

#SPJ1

8 0
2 years ago
A boy walked to his friend house 12 miles away. If he averaged 2.5 miles per hour, how many hours did it take to reach the house
solniwko [45]
Hello there,

Friends house: 12 miles
Average: 2.5 mph

Write a proportion...

12/x = 2.5/1

Cross multiply and divide...

12 * 1 = 12

12/2.5 = 4.8 hours

Convert that into time...

4.8 hours or 5 h 20 m


Hope I Helped!!
-Char

6 0
3 years ago
Read 2 more answers
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