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研究所、轉學考(插大)-微積分
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106年 - 106 國立清華大學碩士班考試入學試題_科技管理研究所/乙組:微積分#110853
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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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1.試求極限=________
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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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to the surface z = 6xy + 7.
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to the surface z = 6xy + 7.