Unformatted text preview: ) = x 2 + y 21 2 y . a) Use the method of Lagrange multipliers to ﬁnd the maximum and minimum points of f ( x,y ) on the curve y = √ 12 x 2 . b) Let R be the region bounded by the curve y = √ 12 x 2 and the xaxis. Find the maximum and minimum value of f ( x,y ) on the region R . 6. Find the maximum and minimum values of f ( x,y ) = y on the piriform curve deﬁned by y 2 + x 4x 3 = 0....
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 Spring '08
 WOLCZUK
 Critical Point, minimum values, maximum, minimum value, region x2

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