阿摩線上測驗登入

首頁 > 研究所、轉學考(插大)-微積分 > 107年 - 107 國立嘉義大學_轉學生招生考試試題_應用經濟學系：微積分#124584 >

題組內容

四、Y₁ and Y₂ are two continuous random variables. Let Y₁ and Y₂ have the joint probability density function given by

(c) Find the marginal density function for Y₁ and Y₂.

其他申論題

(b) What are the first order conditions for this maximization problem? (10 分)

(c) Please derive the factor demand function for labor (L) and capital (K). (10 分)

(a) Find the value of k that makes this a probability density function. (5 分)

(d) Please find the expected value of Y1, E(Y1).

(a) (10%) Please give an ε and δ and show that .(Hint: ||a|-|b||＜|a-b|)

(b) (10%) Let g be a function defined at least on some open interval containing the number 0. We say that g is of smaller order than h, or that g(h) is little-o(h) and write g(h) = o(h), if and only if g(h) is small enough compared with h that = 0. Show that h3 = o(h).

2. (15%) Show that ln(1+x) ≈ x as x→0. (Hint: (ln(x))'=1/x)

(a) (10%) Find the critical numbers of F and determine theintervals on which F is increasing and the intervals onwhich F is decreasing.

(b) (10%) Determine the concavity of the graph of F and find thepoints of inflection (if any).

阿摩線上測驗

提供最完整的考試資料庫，包含歷年試題、詳解、申論題等學習資源，
幫助學生有效準備各類考試。

© 2008-2026 Yamol Tech Ltd. All Rights Reserved.
阿摩線上測驗--最強大的互動線上測驗版權所有

如有任何問題或建議，歡迎聯繫我們