Question 1
Find the maximum and minimum distances from the origin to the ellipse 5x
2 + 6xy + 5y
2 - 8 = 0.
◦ maximum 2, minimum 1
◦ maximum 4, minimum 2
◦ maximum 4, minimum

◦ maximum 2, minimum

◦ maximum 4, minimum 1
Question 2
Find the point on the sphere x
2 + y
2 + z
2 = 10 that is closest to the point (1, -8, 5).
◦ (2, -16, 10)
◦ (0,

, 0)
◦

◦

◦