The correct answer between all
the choices given is the first choice or letter A. I am hoping that this answer
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:
130
Step-by-step explanation:
since bc and bd equal the same thing, plug in every answer option until you get to 360.
(130 x 2) = 260
plus cd = 100.
260 + 100 = 360.
Percentage of tress under 30 = 6/75 x 100 = 8%
Answer: 8%
Answer:
20 blue fish
Step-by-step explanation:
Number of blue fish = x
Number of red fish = x+10
Red fish = 60% of total = 0.6
Total fish = x+x+10 = 2x+10
0.6 = (x+10)/(2x+10)
Solve for x:
1.2x+6 = x+10
0.2x = 4
x = 20
Hope this helps!
Mark as brainliest :))