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find the extremum of f(x,y) subject to the given constraint, and state wether it is a maximum or minimum.

4y^2-29x^2; 3x+y=21

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Review your text section (probably Lagrange multipliers), and see whether you can come up with this solution:

http://www.wolframalpha.com/input/?i=minimize+4y%5E2-29x%5E2+subject+to+3x%2By%3D21

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