Section 14.8: Problem 1 PreviousProblem (1 point) Find the extreme values of f(:1:, y) : 23:3; subject to the constraint 9(33, y) : $2 + 3,12 i 9 : 0. Maximum value is Minimum value is (If there is no extreme value of a given type, enter "none".) Section 14.8: Problem 2 (1 point) Find the local extreme values of f(a:, y) : 5$2y on the line :1: + y : 8. Local maximum value is iii Local minimum value is ::: (If there is more than one local extreme value of a given type, enter a comma-separated list. If there is no extreme value of a given type, enter "none".) Section 14.8: Problem 3 (1 point) Find the points on the curve 3:23; : 9 nearest the origin. Closest points are (If there is more than one closest point, enter a comma-separated list.) Section 14.8: Problem 4 (1 point) Find the point on the sphere m2 + 312 + 22 : 9 farthest from the point (4, 4, 4). Farthest point is