Question: Note: please write down the Answers by hand on paper and also write each answer with the number of the questions MATH 209: calculus 3

3 5. Find the local maximum, local minimum, or saddle points for

Note: please write down the Answers by hand on paper and also write each answer with the number of the questions

MATH 209: calculus 3

66. Find the critical points of the following functions and classify them

5. Find the local maximum, local minimum, or saddle points for f (x, y) = y' + c3 + 2xy - 8x + 66. Find the critical points of the following functions and classify them as local maxima, minima, or neither. f (x, y) = x - 3xy + 5x - 2y + 692 +87. Suppose that f(x, y) = x2 +.y. Find the maximum and minimum values of f for (x, y) on the circle of radius 1 centered at the origin in two ways. (a) By parameterizing the circle. (b) By Lagrange Multipliers

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