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
The value of the x is 20 if the quadrilateral ABCD is a rectangle and AE = 36 and CE = 2x - 4 because the diagonal of the rectangle bisect each other.
<h3>What is the area of the rectangle?</h3>
It is defined as the space occupied by the rectangle, which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
We know that the diagonal of the rectangle bisect each other.
AE = CE
36 = 2x - 4
2x = 40
x = 20
Thus, the value of the x is 20 if the quadrilateral ABCD is a rectangle and AE = 36 and CE = 2x - 4 because the diagonal of the rectangle bisect each other.
Learn more about the rectangle here:
brainly.com/question/15019502
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Answer:
y=6x-4
(dark blue)
Step-by-step explanation:
x=0 y=-4
y=6x-4
y=6(0)-4
y=-4
Answer: 2nd and 6th options are correct
Step-by-step explanation: It showed me after I got em wrong
Answer:
x=3
Step-by-step explanation:
