<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>
<h2>
Answer:</h2>
The vertex of the function is:
(-2,-2)
<h2>
Step-by-step explanation:</h2>
We are given a absolute value function f(x) in terms of variable "x" as:

We know that for any absolute function of the general form:

the vertex of the function is : (h,k)
and if a<0 the graph of function opens downwards.
and if a>0 the graph of the function opens upwards.
Hence, here after comparing the equation with general form of the equation we see that:
a= -1<0 , h= -2 and k= -2
Since a is negative , hence, the graph opens down .
Hence, the vertex of the function is:
(-2,-2)
Answer: Marvin will earn $10,681.77 more in interest than Luis
Step-by-step explanation: A = P(I+r)t
Answer:
x=-2500
Step-by-step explanation:

5.5+-3.3 is the same as 5.5-3.3 so
5.5
-3.3
——
2.2
5-3 = 2
5-3 = 2
(Bring decimal down)