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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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1. Let f:R→R be twice differentiable. If f" is nowhere vanishing, then f has at most two distinct real roots.
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5. dydx= _________.
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6.=__________.
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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.
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8. The radius of convergence of the power series is___________.
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2. Prove that
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3. Evaluatedy,where C is the unit circle.
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1.y=在靠近x=0時的形最接近底下那個圖形:
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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).
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3. =______
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4.=______
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