課程名稱︰微積分乙下
課程教師︰劉瓊如
開課學院：理學院
開課系所︰數學系
考試日期（年月日）︰2009/3/5
考試時限（分鐘）：20
是否需發放獎勵金：yes
（如未明確表示，則不予發放）
試題 :
1.suppose the following system is under newton's law of warming. when a cold
drink is taken from a refrigerator, its temperature is 10。C. In a 25。C
room, its temperture has increased to 15。C after 30 minutes.
(A)Write down the temperature in a function of t
(B)When will its temperature be 20。C
2.Find the follwoing indeterminate integral
dx
(A)∫────────
√(4-X^2)
1+X
(B)∫────────dx
1+X^2
3.Find the derivatives
d d
(A) ─arcsinhx (B)─ x˙arctanhx
dx dx
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