<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>
Answer: x45=x45 cannot be greater because they're both equivalent to each other.
Step-by-step explanation:
Answer:
<h2>x = 8</h2>
Step-by-step explanation:
Answer: 60
Step-by-step explanation:
Assuming you meant 2/3
y=2/3x+1 and (-5,-2)
paralell means same slope
y=mx+b
m=slope
y=2/3x+1
sllope=2/3
point slope
y-y1=m(x-x1)
for slope=m
a point is (x1,y1)
slope=2/3
point=(-5,-2)
y-(-2)=2/3(x-(-5))
y+2=2/3(x+5)
or
y=2/3x+16/3
