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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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8.Find the maximum and minimum values of the functionf(x，y)=x
2
+y
2
subject to the constraint x
2
-2x+y
2
-4y=0 . (10%)
其他申論題
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
9 A business sells 20000 units of product per week at a price of $16 each. It can sell 2000 more units per week for each $1 reduction in price. What price per unit will maximize the weekly revenue? (10%)
#498925
第一題： 企業的運輸管理需要遵循兩項基本經濟法則，才能達到高績效目標，請簡要說明此兩項經濟法則。【25 分】
#498926
（一）何謂共同配送(Joint distribution)？【4 分】
#498927
（二）其採用的方式為何？【9 分】
#498928
（三）可能遇到的問題為何？【12 分】
#498929
（一）請說明兩種系統的中英全名。【4 分】
#498930
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