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研究所、轉學考(插大)-微積分
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103年 - 103 國立臺北大學學士班暨進修學士班轉學生招生考試_統計、經濟學系學士班暨進修學士班二、三年級：微積分#116791
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題組內容
1. Let
(a) (9%) Find the Taylor series for f(x) at 1.
其他申論題
5. (10%) Find the area of the region bounded by xy=1, xy=5, y=2, and y=4.
#499052
(a) (6%)
#499053
(b)(7%)
#499054
(c) (7%)
#499055
(b) (6%) Approximate 1.2 by P4(x), the 4th Taylor polynomial for f(x) at 1.
#499057
(a) (6%) Determine whether f is continuous at 0 or not, and justify your answer as well.
#499058
(b) (9%) Determine whether f is differentiable at x=0 or not, and justify your answer as well.
#499059
3. (20%) Find the relative extrema and saddle points of f(x,y)=3x3y+2y3-3xy.
#499060
(a) (6%)
#499061
(b)(7%)
#499062
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