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

科目：研究所、轉學考(插大)-微積分 | 年份：104年 | 選擇題數：0 | 申論題數：13

試卷資訊

所屬科目：研究所、轉學考(插大)-微積分

選擇題 (0)

申論題 (13)

(a) (7%)

(b) (8%)

(a) ( 8%) Find the Taylor's series of f(x) center at 1.

(b) ( 7%) Applying the first 4^th term of in (a) to approximate In1.1.

(a) ( 8%) Show that f(x) is continuous at 0.

(b)(12%) Find f'(x) and evaluate f'(0)..

(a) (6%) Find∇f(x,y), the gradient of f(x,y).

(b) (5%) Find the directional derivative of f(x,y) at (1,-2) in the direction of [-3,4].

(c) (9%) Find the relative extrema and saddle points of f(x, y)

5. (10%) Find the area of the region bounded by xy=1, xy=5, y=2, and y=4.

(a) (6%)

(b)(7%)

(c) (7%)