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研究所、轉學考(插大)-微積分
> 99年 - 99 國立臺灣大學轉學生招生考試試題_(商、管、農、經學院聯招) :微積分(C)#113229
99年 - 99 國立臺灣大學轉學生招生考試試題_(商、管、農、經學院聯招) :微積分(C)#113229
科目:
研究所、轉學考(插大)-微積分 |
年份:
99年 |
選擇題數:
0 |
申論題數:
10
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 (10)
(1)
(2)
(1)Compute the coefficients of x
4
and x
9
in the Taylor series of f(x) at x = 0.
(2)Compute the coefficients of x
4
and x
6
in the Taylor series of g(x) at x = 0.
(3)Compute
(1) First derive this iterated integral expression for C in polar coordinates, then compute the value of C.
(2) Prove that A = B.
(1)On the open disk D
1
find, if there is any, those points on which f(x, y) is a relative minimum, relative maximum or a saddle point.
(2)On the circle C compute the absolute maximum value and absolute min- imum value of f(x, y).
(3)On the closed disk D
2
give your reasons to find the absolute maximum value and absolute minimum value and absolute minimum value of f(x, y).