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94年 - 94 台灣聯合大學系統(清、交、陽、中四校聯招)學士班轉學生聯合招生試題:微積分#113222
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3. Evaluate
dy,where C is the unit circle.
其他申論題
7. Let f :[0,3]→[0,3] be a continuous function with f(0)=0 and f(3)=3. If f is one-to-one and , then=________ ,where f-1 is the inverse function of.
#483793
8. The radius of convergence of the power series is___________.
#483794
1. Let f:R→R be twice differentiable. If f" is nowhere vanishing, then f has at most two distinct real roots.
#483795
2. Prove that
#483796
1.y=在靠近x=0時的形最接近底下那個圖形:
#483798
2.有一方程式y2=x7+3x4-2x+2,若(0.998,b)满足此方程式,則b大約等於________ (小數點下三位精確).
#483799
3. =______
#483800
4.=______
#483801
5. f(x,y) =,在(-1,1)點的所有方向導數(directional derivative) 最大值是________
#483802
6.f(x,y)=x2y2-4x2-y2共有_________個鞍點(saddle point).
#483803