<span>Let r(x,y) = (x, y, 9 - x^2 - y^2)
So, dr/dx x dr/dy = (2x, 2y, 1)
So, integral(S) F * dS
= integral(x in [0,1], y in [0,1]) (xy, y(9 - x^2 - y^2), x(9 - x^2 - y^2)) * (2x, 2y, 1) dy dx
= integral(x in [0,1], y in [0,1]) (2x^2y + 18y^2 - 2x^2y^2 - 2y^4 + 9x - x^3 - xy^2) dy dx
= integral(x in [0,1]) (x^2 + 6 - 2x^2/3 - 2/5 + 9x - x^3 - x/3) dx
= integral(x in [0,1]) (28/5 + x^2/3 + 26x/3 - x^3) dx
= 28/5 + 40/9 - 1/4
= 1763/180 </span>
20 - 12 = x
combine like terms, theres ur answer
Answer:
1 7⁄10 = m
Step-by-step explanation:
m = -y₁ + y₂\-x₁ + x₂ → -17 - 17\-12 - 8 >> 1 7⁄10
-34 -20
I am joyous to assist you anytime.
Answer:
A=40
Step-by-step explanation:
If A=100 and we need 2/5 the scale then all we do is divide 100 by five and multiply it by two giving us 40
