I need to parameterize the curve in the first octant to apply Stokes' theorem...
$$Z=9-x^2-y^2$$
Using the paramaters...
$$C_1 = (3\cos \theta,3\sin \theta,0); 0 \leq \theta \leq \pi/2$$
$$C_2 = (x,0,9-x^2); 0 \leq x \leq 3$$
$$C_3 = (0,y,9+y^2); -3 \leq y \leq 0$$
Can someone help me by telling me if it's right or wrong?
Thanks!