課程名稱︰微積分乙上
課程性質︰系定必修
課程教師︰劉瓊如
開課學院:
開課系所︰醫學院各系、農化、公衛、生科系
考試日期(年月日)︰97/12/04
考試時限(分鐘):20分
是否需發放獎勵金:yes
試題 :
(1) Sketch the graph of f(x)=x/(x^2+3)
Please indicate the following information:
(a)x-intercept, y-intercept
(b)any asymptotes
(c)local extremum
(d)points of inflections
(2)Mary wants to cross a circular lake with radius 3km. She starts from a
point A on the shore and arrive point C diametrically opposite A on the other
side of the lake in the shortest time. She can walk at the rate of 6km/h and
row a boat at 3km/h. How should she proceed?
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