Section 14.8: Problem 5 (1 point) Find the point on the surface z = my + 2 closest to the origin. Closest point is :a: (lfthere is more than one point, enter a comma-separated list.) Section 14.8: Problem 6 (1 point) Find the points on the sphere :32 + 312 + 2:2 : 64 where at, 3;, z) : 42: + 63; | 77. has its maximum and minimum values. Maximum value occurs at :== Minimum value occurs at :== (If there is more than one point, enter a comma-separated list.) Section 14.8: Problem 7 (1 point) Find the minimum value of the function f(;1':, y, z) : 11:2 + y2 + 2'2 subject to the constraints a: + 43; + 62 : 5 and :1: + 93; + 32 : 8. Minimum value is Section 14.8: Problem 8 Previous Problem Problem List Next Problem (1 point) Find the maximum value that f(x, y, z) = x2 + 4y - 22 can have on the line of intersection of the planes 6x - y = 0 and y + 3z = 0. Maximum value is