Find the absolute maximum and minimum of the function f(x, y) = r* + y* subject to the constraint a + y* = 4096. As usual, ignore unneeded answer blanks, and list points in lexicographic order. Absolute minimum value: (1 point) Find the maximum and minimum values of the function f(z, y) = 2x? + 3y? 4z 5 on the domain z? + y? < 25. The maximum value of f(r, y) is: List the point(s) where the function attains its maximum as an ordered pair, such as (-6,3), or a list of ordered pairs if there is more than one point, such as (1,3), (-4,7). The minimum value of f(1,y) is: List points where the function attalns its minimum as an ordered pair, such as (-6,3), or a list of ordered pairs if there is more than one point, such as (1,3), (-4,7). Find the maximum and minimum values of the function f(z, y, z) = yz + zy subject to the constraints y? + 2? = 64 and zy = 9. Maximum value is . Minimum value is Find the maximum and minimum values of the function f(r, y, z) = 3x y - 3z subject to the constraints z + 2z2 = 81 and . occuring at ( z+y-z=4. Maximum value is ). Minimum value is . occuring at ( The plane z+y+2z 16 intersects the paraboloid z= r + y? in an ellipse. Find the points on this ellipse that are nearest to and farthest from the origin. Point farthest away occurs at ). Point nearest occurs at