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f x, y 5x2 3xy 3y2 |
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f x, y 4x2 2xy 12x y2 5y 28 |
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A 3, 4 a 3, 4 . |
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f x, y xy x y 15 |
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f x, y ln x2 4x y2 3y 27 A 5, 5 |
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f x, y 2x2 8x 4y3 120y2 900y 1990 . |
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f x, y 16x2 160x y2 10y 418 |
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4x y 15 0. |
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f x, y x 4 2 y 5 2 16 |
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B 12, 0 C 0, 15 . |
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f x, y, z 25x2y2z2 x2 xz 7x y2 2y 2z 11 A 2, 1, 3
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B 6, 0 C 0, 15 .
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20% 12%.
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f x, y 2x4 5xy2 5y3 |
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M 0, 3 . |
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z f x, y x2 y2 |
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z2 5. |
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f x, y ln x2 8x y2 13y 59 |
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A 5, 7 |
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a 21, 72 . |
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f x, y 3x2 24x 5y3 30y2 36 .
f x, y 9x 36y x2 9y2 225.
f x, y xy x y 15 D 
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9% 12%.
3 105 ., 16 1012
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f x, y 5x3 5xy2 2y3 |
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M 0, 1 . |
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z f x, y x2 |
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y2 |
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z2 6. |
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f x, y x2 2xy 6x 2y2 10y |
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A 1, 1 a 3, 4 . |
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f x, y 5x2 10x 3y3 45y2 10 . |
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f x, y 2 x2 8x y2 4y 4 x y 10 0. |
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f x, y xy x y 3 |
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x, y | x y 8, x 0, y 0 . |
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3%,
12% 12%.
5 104 ., 81 1012
625 1020 .
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K0 5 105, L0 3 103.
k KL
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8
7
1 z f x, y |
1 |
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z 5 arctan |
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x |
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z f x, y 5x 3y 5z e 5x 3y 5z. |
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f x, y ln x2 10x y2 3y 24 A 8, 2 |
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a 14, 48 . |
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f x, y 5x2 50x 4y3 96y2 660y 1270 . |
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f x, y 9x2 72x y2 8y 151 3x y 2 0. |
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f x, y x 3 2 y 5 2 17 |
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A 0, 0 , |
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B 9, 0 C 0, 15 . |
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8
5%,
25% 15%.
4 104 ., 64 109
1024 1020 .
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K0 4 104, L0 4 103.
k KL
MRSLK
MRSLK
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9