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Please explain how can I solve 25, 29, and 35.

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Find all points (x, y) where f(x, y) has a possible relative maxi-
mum or minimum. Then, use the second-derivative test to deter-
mine, if possible, the nature of f(x, y) at each of these points. If the
second-derivative test is inconclusive, so state.
V25. f(x, y) = -5x2 + 4xy - 17y2 - 6x + 6y+2
26. f(x, y) = -2x2 + 6xy - 17y2 - 4x + 6y
27. f(x, y) = 3x2 + 8xy - 3yz + 2x + 6y
28. f ( x, y ) = 8xy + 8y2 - 2x + 2y -1
29. f (x, y) = x4 - x2 - 2xy+ 12+1
30. f(x, y) = x2+ 2xy + 102
31. f(x, y) = 6xy - 3y2 - 2x + 4y - 1
32. f(x, y) = 2xy + 12+ 2x -1
33. f (x, y) = - 2x2 + 2xy - 25y2 - 2x + 8y -1
34. f(x, y) = 3x2 + 8xy - 3y2 - 2x+ 4y+ 1

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Top Answer

25) ( 9 5 , 9 1 ) is actually a maximum of f. 29) (0,0) is a... View the full answer

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