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:
May I have a little more context please?
Step-by-step explanation:
Answer:
which line!
x or y axis?
first image is over the x axis
second is over the y
Step-by-step explanation:
HOPE THIS HELPS, BRAINLIEAST PLZZ
The mean is 6394530.35 and the median is = 3355572.5
The missing data is attached in the answer.
<h3>What is Mean ?</h3>
Mean is the average value of the data points , it is determined by dividing the total sum of the data points to the number of data points.
Mean and Median is the measure of the central; tendency of the data.
Mean is given by
Sum of the observations/number of observations
= (741894 + 6931071....)/20
= 6394530.35
2) To find median
The data needs to be arranged in ascending order
Then the median is the middle number of the arranged data
Here the median is = 3355572.5
To know more about Mean
brainly.com/question/13451489
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