Answer:
4i.
Step-by-step explanation:
To find the flux through the square, we use the divergence theorem for the flux. So Flux of F(x,y) = ∫∫divF(x,y).dA
F(x,y) = hxy,x - yi
div(F(x,y)) = dF(x,y)/dx + dF(x,y)dy = dhxy/dx + d(x - yi)/dy = hy - i
So, ∫∫divF(x,y).dA = ∫∫(hy - i).dA
= ∫∫(hy - i).dxdy
= ∫∫hydxdy - ∫∫idxdy
Since we are integrating along the boundary of the square given by −1 ≤ x ≤ 1, −1 ≤ y ≤ 1, then
∫∫divF(x,y).dA = ∫₋₁¹∫₋₁¹hydxdy - ∫₋₁¹∫₋₁¹idxdy
= h∫₋₁¹{y²/2}¹₋₁dx - i∫₋₁¹[y]₋₁¹dx
= h∫₋₁¹{1²/2 - (-1)/2²}dx - i∫₋₁¹[1 - (-1)]dx
= h∫₋₁¹{1/2 - 1)/2}dx - i∫₋₁¹[1 + 1)]dx
= 0 - i∫₋₁¹2dx
= - 2i[x]₋₁¹
= 2i[1 - (-1)]
= 2i[1 + 1]
= 2i(2)
= 4i
Answer: Mural height: 22ft and the Mural width is 10ft
Step-by-step explanation: I took the test and got it wrong, but they told me the correct answers after I took the test. (I got to K-12) Proof:
Answer:
3x-22=80+x
3x-x=80+22
2x=102
x=51
Step-by-step explanation:
the exterior angle is (3x-22) and then is equal to sum of 80 and x
and then we get 51
Hey there!
The full area equals . .
Your correct answer would be
Hope this helps.
~Jurgen
Answer:
1- click
2--trick
3- track
4-trace
Step-by-step explanation:
equation (y=x+2) x y
y=-3+2 -3 -1
y=-1+2 -1 1
y=0+2 0 2
y=2+2 2 4
you can plot the points ( click)
<h2>equation (y=-x) x y</h2>
y=-(-2) -2 2
y=0 0 0
y=-1 1 -1
y=-3 3 -3
plot the points
<h2>equation (y=1) x y</h2>
y=1 no matter what the value of x -3 1
(-3,-1,0,2) -1 1
0 1
2 1
<h2>y=1/2 x +1 x y</h2><h2> y=-4/2 +1 -4 1</h2>
y=-2/2 +1 -2 0
y=1/2(0)+1 0 1
y=3/2 +1 3 2.5
there are no image for 5 and 6
