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研究所、轉學考(插大)-微積分
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81年 - 81 中原大學轉學生招生考試_應用數學系：微積分#124621
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題組內容
3. Find the following limits.
(b)
其他申論題
(a) ∫xsinxdx
#530157
(b)
#530158
(c)
#530159
(a)
#530160
4. Find the volume of the solid generated by revolving about the x-axis the region bounded by the curves y = x and y = x².
#530162
5. Assume that is convergent. Is convergent? Prove your answer.
#530163
6. Evaluate , where S is the first quadrant sector of the circle x² + y² = 4 between y = 0 and y = x.
#530164
7. Find the extrema, if any, of the function f defined by f(x,y) = x6 + y2 - 6x + 2y -1.
#530165
8. Evaluate .
#530166
9. Find the equation of the plane through the three points A(-1,2,0), B(5,-1,3), and C(4,0,-2).
#530167
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