阿摩線上測驗
登入
首頁
>
研究所、轉學考(插大)-微積分
>
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
>
題組內容
4. Let f(x,y)=x
2
+2y
2
-xy.
(a) (6%) Find∇f(x,y), the gradient of f(x,y).
其他申論題
(a) ( 8%) Find the Taylor's series of f(x) center at 1.
#499045
(b) ( 7%) Applying the first 4th term of in (a) to approximate In1.1.
#499046
(a) ( 8%) Show that f(x) is continuous at 0.
#499047
(b)(12%) Find f'(x) and evaluate f'(0)..
#499048
(b) (5%) Find the directional derivative of f(x,y) at (1,-2) in the direction of [-3,4].
#499050
(c) (9%) Find the relative extrema and saddle points of f(x, y)
#499051
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
阿摩線上測驗
登入
阿摩線上測驗
登入