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Problem 1. (1 point) Problem 4. (1 point) For each of the following functions, find the maximum and mim- Find the maximum and minimum volumes of a rectangular box imum values of the function on the circular disk: xty's 1. Do whose surface area equals 10000 square cm and whose edge this by looking at the level curves and gradiants. length (sum of lengths of all edges) is 560 cm. Hint: It can be deduced that the box is not a cube, so if x, y, and z (A) f(x. y) = x+y+ 3: are the lengths of the sides, you may want to let x represent a side maximum value = with x * y and x * z. minimum value = Maximum value is. occuring at (- (B) f(x, y) = 3 +42: Minimum value is maximum value = occuring at (- minimum value = Answer(s) submitted: (C) f(x,y) = 3x-4: maximum value = minimum value = . Answer(s) submitted: . (incorrect) . . (incorrect) Problem 5. (1 point) Problem 2. (1 point) Find the maximum and minimum values of f(x, y) = 4x + y on the ellipse x' + 49y = 1 The plane x + y + 2z = 20 intersects the paraboloid z = x + y in maximum value: an ellipse. Find the points on this ellipse that are nearest to and minimum value: farthest from the origin. Answer(s) submitted: Point farthest away occurs at (incorrect) Point nearest occurs at Problem 3. (1 point) Find the maximum and minimum values of f(x, y.z) = 5x + 4y + 5c Answer(s) submitted: on the sphere x'+y+z =1. maximum value = minimum value = Answer(s) submitted: . . . (incorrect) (incorrect) Generated by OWeHWork, hap fuchw