94年 - 94 國立政治大學轉學生招生考試_應用數學系：微積分(一)#122539

科目：研究所、轉學考(插大)-微積分 | 年份：94年 | 選擇題數：0 | 申論題數：13

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 (13)

1. (10%)What value should be assigned to a to make the function
continuous at x = ?

(a)where the tangent is parallel to the x-axis and

(b)where the tangent is parallel to the y-axis.

3. (10%)Find the linearization of f(x) = at x = 3.

(a)At what rate is the tip of this person's shadow moving?

(b)At what rate is the length of this person's shadow changing?

5. (10%)Find the derivative of f(x) with respect to x, if f(x) = x cos(log₅ x).

6. (10%)Graph the function y =.

7. (10%)Find the point of the graph of the equation y = x² that is nearest the point (3, 0).

(a)

(b)

(c)

(d)