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研究所、轉學考(插大)-微積分
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107年 - 107 國立臺灣大學轉學生招生考試試題_(商、管、農、經學院聯招) ：微積分(C)#113212
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10.Ω=｛(x,y)|x≥0,y≥0,x+y≥3｝. Find
dxdy.
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6. When x3 + y3+ z3-3xyz = 1, derive ∂z/∂x and ∂z/∂y.
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7. When f(x,y) = 2xy -+1, find local maxima, local minima, and saddle points.
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8. Find the volume determined by x2+ y2 + z2 ≤1 and x2 + y2 ≤ y.
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9. When x2 + y2 =z2 and x + 2z = 4, determine the maximum value of z.
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(a) (6 points)
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(b) (6 points)
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(c) (6 points)
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(a) (6 points)
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(b) (6 points)
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3. (10 points)If , find the partial derivatives
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dxdy.
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dxdy.