(a) Draw contours of f(x, y)=2x + y forz = 7, 5, 3, 1, 1, 3, 5, 7.(b) On the same axes

Chapter 15, Problem 20

(choose chapter or problem)

(a) Draw contours of f(x, y)=2x + y forz = 7, 5, 3, 1, 1, 3, 5, 7.(b) On the same axes, graph the constraint x2 +y2 = 5.(c) Use the graph to approximate the points at which fhas a maximum or a minimum value subject to theconstraint x2 + y2 = 5.(d) Use Lagrange multipliers to find the maximum andminimum values of f(x, y)=2x + y subject tox2 + y2 = 5.

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