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研究所、轉學考(插大)-微積分
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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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4. The maximum value of f(x,y)=y
2
-x
2
on the ellipse
is=_________.
其他申論題
7. (15%) Let Ω be the region {(x, y)|(x-1)2+y2＜1}. Evaluate the double integral
#483786
1. xsinxdx=________.
#483787
2. For the equation y3-xy2+cos(xy)=2 , at the point (0,1) is ______.
#483788
3. Let , where f iscontinuous and g and h are differentiable. Find F'(t)=___________.
#483789
5. dydx= _________.
#483791
6.=__________.
#483792
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
is=_________.
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is=_________.