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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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8. Evaluate
where R is the plane region determined by the conditions x
2
+ y
2
≤1 and : x+y≥1.
其他申論題
4. Find the solution of the differential equation that satisfes the initial condition y (1) = 0.
#474800
5. If f is concave upward on [a,b], show that
#474801
6. If ao + a1 + a2 +...+ = 0, show that
#474802
7. Find the minimum distance from the origin in to the surface z = 6xy + 7.
#474803
1.試求極限=________
#474805
2.試求定積分=_______
#474806
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=________
#474807
4.過曲面zsinx+zcosy +3z2+5z=7上點,(0,π,1)之切平面為________
#474808
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=_______
#474809
6.試求級數之和為______
#474810
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