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研究所、轉學考(插大)-微積分
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98年 - 98 東吳大學轉學生(含進修學士班)招生考試試題_經濟學系二年級：微積分#116770
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題組內容
2 Evaluate the following integrals
(b)
(8%)
其他申論題
10.某班調查學生不同性別與畢旅選擇情形，資料如右：班上的 50 位學生中，選擇墾丁的有 35 位，男生共 30 位，女生且選擇花東的有 7 位。依上述資料，已知選擇一女的情況下，則此女也選擇墾 丁的機率為________。
#498913
(a) (8%)
#498914
(b) (8%)
#498915
(a) (8%)
#498916
(a)f (x)=x4+x3+x2+x+1 , near a = 2 . (8%)
#498918
(b) f( x，y)=exln(1+y ),nare( a,b)=(0,0) . (8%)
#498919
4 Solve the differential equation , y(0) = 1. (8%)
#498920
5 Find when r = 1 , s = −1, if w= (x+y+z)2, x= r−s , y= cos(r + s) , z= sin(r+ s ) . (8%)
#498921
6 Find the direction in which f(x，y)=x2y+exyincreases and decreases most rapidly at the point (1,0). Then find the derivatives of f in these directions. (8%)
#498922
7 Find the maximum value of the functionf(x，y)=xy-x2-y2-2x-2y+4 (8%)
#498923
(8%)
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