Answer:
Sue of estimates = 6200
Step-by-step explanation:
can be estimated as
which is 
Similarly
can be estimated as
which is 
∴ Sum of estimates = 
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:
4 hours
Step-by-step explanation:
if you have $350
you'd subtract 50 por que it's a one time fee.
which leaves with 300
then you'd divide 75 into 300
to see how many hours you'd receive with the remaining of your $300.
which is four.
Answer: He had 14 more touchdowns than he did fumbles.
Step-by-step explanation:
Step 1. Ok, so we need to see how many times 9 will divide into 18.
18/9=2.
Step 2. So now that we know that 9 goes into 18 two times and we know he has two fumbles for every 9 touchdowns we can multiply 2 by 2 to find out how man fumbles he had.
2*2=4
Step 3. Now to find out how many more touchdowns than fumbles he had we need to subtract his fumbles from his touchdowns.
18-4= 14. So, now we know he had 14 more touchdowns than he did fumbles.
Hope this helps!