101年 - 101 國立政治大學轉學生招生考試_應用數學系：微積分#122255

科目：研究所、轉學考(插大)-微積分 | 年份：101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)

(a)= 2.

(10%) (b) = 0.

(a) if f(x) is continuous at x = a, then f(x) is differentiable at x = a.

(10%) (b) if f(x) is differentiable at x= a, then f(x) is continuous at x = a.

(10%) (a) if f'(x)>0, then f(x) is increasing.

(10%) (b) if f'(x)< 0, then f(x) is decreasing.

(10%) (a) Show that the future value over the term T isdx.

(10%)(b) Show that the present value over the term T isdx.

(10%) (a) Show that the method of Lagrange multipliers works.

(10%) (b) Interpret the meaning of λ in the real world and justify your answer.