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試卷名稱：100年 - 100 國立臺灣大學轉學生招生考試試題_(商、管、農、經學院聯招) ：微積分(C)#113228
年份：100年
科目：研究所、轉學考(插大)-微積分
11. Let A be the region bounded above by the graph of y = sin(πx) and below by the
graph of y = x3 - 4x.
(A)(2.1,0.8) falls into the region A.
(B) The area of A can be represented by
dx.
(C) The area of A is equal to 4.
(D)The region A is the base of a solid. For this solid, each cross section per- pendicular to the a-axis is a square.The volume of this solid is equal to
dx.
(E)The region A models the surface of a small pond. At all points in A
tance :i from the y-axis, the depth of the water is given by h(x) = 3-x. The
yolume of water in the pond is equal to
dx.
