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研究所、轉學考(插大)-微積分
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104年 - 104 國立臺北大學學士班暨進修學士班轉學生招生考試_統計學系學士班暨進修學士班三年級：微積分#116790
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題組內容
4. Let f(x,y)=x
2
+2y
2
-xy.
(c) (9%) Find the relative extrema and saddle points of f(x, y)
其他申論題
(a) ( 8%) Show that f(x) is continuous at 0.
#499047
(b)(12%) Find f'(x) and evaluate f'(0)..
#499048
(a) (6%) Find∇f(x,y), the gradient of f(x,y).
#499049
(b) (5%) Find the directional derivative of f(x,y) at (1,-2) in the direction of [-3,4].
#499050
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
(a) (9%) Find the Taylor series for f(x) at 1.
#499056
(b) (6%) Approximate 1.2 by P4(x), the 4th Taylor polynomial for f(x) at 1.
#499057
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