<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>
La Respuesta es B. A2+B2=C2
Hi Veracity,
Answer:
(2 + i) = 2
Step-by-step explanation:
Multiply the denominator and numerator by the conjugate,
= 
Combine Like Terms,
= 
Simplify,
= 2 + i
Hope This Helps :)
Answer:
78 inches
Step-by-step explanation:
2 yards = 6 feet = 72 inches because 6 x 12 = 72 then, 1/2 of a foot = 6 inches. Then 72 + 6 inches = 78 inches :)