104年 - 104 淡江大學轉學考微積分#53341

科目：研究所、轉學考(插大)-微積分 | 年份：104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)

【已刪除】(a) Find the limit

if it exists

【已刪除】(b)

【已刪除】 (a) Find f'(x) if f(x)

【已刪除】(b) Find dy/dx;

1+ x²y²

【已刪除】3. (15%) Determine where the function

is increasing and de x2 + 3 creasing, and where its graph is concave up and concave down. Find the relative extrema, inflection points and asymptotes. Sketch the graph of the function.

【已刪除】(a)

【已刪除】(b)

【已刪除】5.(10分）Determine whether the integral

dx is convergent or di- vergent. Evaluate it if it is convergent.

6.(10%) Find the average value of /(x, y) = xy over the given region D, where D is the triangle with vertices (0, 0), (1, 0) and (1, 3).

7.(15%) Find the maximum and minimum values of f(x,y) = e^xy subject to x² + y² = 4.