89年 - 89 國立政治大學轉學生招生考試_應用數學系：微積分(一)#122907

科目：研究所、轉學考(插大)-微積分 | 年份：89年 | 選擇題數：0 | 申論題數：7

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 (7)

1. Find an equation for the tangent line to the curve y = F(x) at the point P where x=1 if

2. Let y = f(x) be a function that satisfies the differential equation

Find the arc length of y = f(x) between x = and x = .

3. Suppose it is know that f(0) = 3 and

What is f(π)?

a. Compute

b. What is the largest value of A for which the equation L₁= BL₂has a solution? What are A and L₁ and L₂ in this case?

a. If f''(x) ≥ 0 for all x ∈ I, then x* is a global minimizer of f(x) on I.

b. If f''(x*) ＞ 0, then x* is a strict local minimizer of f(x).