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研究所、轉學考(插大)-微積分
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107年 - 107 國立臺北大學日間學士班暨進修學士班轉學生招生考試_統計學系日間學士班二、三年級：微積分#116789
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題組內容
3. Let
,0≤x≤1;and P=
be a partition of [0, 1].
(c) (7%) Evaluate
.
其他申論題
(a) (7%)
#499033
(b)(8%)
#499034
(a) (7%) Calculate the upper sum U(f,p) and the lower sum L(f,p) of f over the partition P. Rounded the answers to the third decimal place.
#499035
(b) (6%) Approximate bx the Simpson's rule with n= 4 and round to the third decimal place.
#499036
(a) (7%) Find fx(0,0) and fy(0,0).
#499038
(b) (8%) Explain f is differentiable at (0,0) or not.
#499039
(a) (7%)
#499040
(b) (8%) dA, where R is the region bounded by y=0, y=, x=4.
#499041
(c) (10%) dA, where R is the region bounded by xy=1, xy=3, y=x, y=2x,by the setting u =xy,
#499042
(a) (7%)
#499043
,0≤x≤1;and P=
be a partition of [0, 1].
.
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,0≤x≤1;and P=be a partition of [0, 1]..