Question 7

7. Find the point P on the intersection of the plane x + y = 0 and the elliptic hyperboloid 4x2 -2y2+ 22 = 6 (8) such that P is closest to the point Q(3, -1, -4). (Hint: Let P = (x, y, z). Instead of finding P such that the length |PQ| = V(x - 3)2 + (y + 1)2 + (z + 4)2 is minimum under the constraints, you may find P such that |PQ|? = (x - 3)2 + (y + 1)2 + (z + 4)2 is minimum under the constraints) Evalu9 10) (1 0) 4 5 (8 )