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109年 - 109 東吳大學_轉學生招生考試_經濟學系三年級︰經濟數學#102179

科目：研究所、轉學考(插大)◆經濟數學 | 年份：109年 | 選擇題數：0 | 申論題數：14

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所屬科目：研究所、轉學考(插大)◆經濟數學

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申論題 (14)

(a) Does the elasticity depend on the price in this case?
(b) In the special case where n = 1 , what is the shape of the demand curve?
2. Are the three vectors v1 =[1 2] , v2 = [3 4] , and v3 = [5 6] linearly independent?
3. (a) Graph and check y = f ( x) = x 2 ( x ≥ 0) for concavity and convexity.
(b) Check y = f ( x) = x 2 ( x ≥ 0) for quasiconcavity and quasiconvexity.
(c) Check z = f ( x, y) = xy ( x, y ≥ 0) for quasiconcavity and quasiconvexity.

4. Find the extreme value(s) of 6168ec44460bd.jpg

(a) 6168ed62913fa.jpg

(b) 6168f08cb6b79.jpg
(a) z = x - 3 y - xy , subject to x + y = 6 .
(b) z = 7 - y + x 2 , subject to x + y = 0 .
(a) Derive the slope of the IS curve.
(b) Derive the slope of the LM curve.

(c) Derive the following two comparative-static derivatives: 6168f2b3323a9.jpg