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研究所、轉學考(插大)-微積分
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105年 - 105 國立臺南大學_轉學生招生考試試題_理工聯招二年級：微積分#124196
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1.
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(b) Find first partial derivatives of f(x,y)=.
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8. Find the values of c such that the graph of f(x)=x4+2x3+cx2+2x+2 is concave upward everywhere.
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9. Calculate .
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10. Find . If the solution is written as C + where C is constant,=?
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2. For f(x)= find all real numbers a and b such that f'(0) exists.
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3. Show that .
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4. Evaluate =?
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5. Evaluate =?
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6. Let P(1,1,0) and f(x,y)=x3 y-xy3. Please find an equation of the tangent plane to z=f(x,y) at P.
#527925
7. Evaluate the double integral , where D≔{(x,y)| 0≤x≤2,1≤y≤2}.
#527926
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