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
60 is 15
30 is 6
75 is 12
35 is 7
That’s the answer
These are the steps needed for this question hope this helps if there is any more questions do feel free to ask them
Answer:
E, A, F
Step-by-step explanation:
Answer:
0.578
Step-by-step explanation:
If you pick three burritos at random, find the probability of the given event. (Round your answer to three decimal places.)
Given that there are 14 orders at the ratio by of:
6 with hot peppers
8 without hot peppers
At most two have hot peppers.
Binomial Problem with n = 3 ; p(hot) = 6/8
P(0<= x <=2) = 1 - P(x = 3)
= 1 - (6/8)^3
= 1 - ( 3/4 )^3
= 1 - ( 27/64 )^3
= 1- (37/64)
= 1 - 0.421875
= 0.578125
= 0.578
