所屬科目：研究所、轉學考(插大)-微積分
(1) with f(x) = sin I(x＞0).
(2)
(2) y = , x＞1.
(1)
4. Find the volume of the ellipsoid generated by resolving the semiellipse y =,| x | ≤ a, about the x-axis.
5. Solve the differential equation ,0 ＜y ＜M.
6. Evaluate , where D=｛ (x,y) :1≤x2+y2≤e｝.
7. Find the radius and interval of convergence of the power series
8. Determine the convergence or divergence of the series . Give reasons for your answer.
阿摩線上測驗
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with f(x) = sin
I(x＞0).
, x＞1.
,| x | ≤ a, about the x-axis.
,0 ＜y ＜M.
, where D=｛ (x,y) :1≤x2+y2≤e｝.
. Give reasons for your answer.