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研究所、轉學考(插大)-微積分
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100年 - 100 國立臺灣大學轉學生招生考試試題_理工科聯招:微積分(B)#110854
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1.試求極限
=________
其他申論題
5. If f is concave upward on [a,b], show that
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6. If ao + a1 + a2 +...+ = 0, show that
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7. Find the minimum distance from the origin in to the surface z = 6xy + 7.
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8. Evaluatewhere R is the plane region determined by the conditions x2 + y2≤1 and : x+y≥1.
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2.試求定積分=_______
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3.設向量場S為球面x2+y2+z2=9,且為其往外之法向量,試求面積分=________
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4.過曲面zsinx+zcosy +3z2+5z=7上點,(0,π,1)之切平面為________
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5.設K為4個面x=0,y=0,z=0,x+y+z=1所成的四面體, 試求積分=_______
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6.試求級數之和為______
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7.試求積分 =______
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