93年 - 93 淡江大學轉學考_商管組二年級：微積分#56160

科目：研究所、轉學考(插大)-微積分 | 年份：93年 | 選擇題數：0 | 申論題數：13

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所屬科目：研究所、轉學考(插大)-微積分

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申論題 (13)

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8. For the equation 4x³y = 3 +y³ — 6x² +5xy². the slope of the tangent line at the point (2,3) is =____.

9. For the function f(x) = x³ - 3x² - 24x 十 27 on the interval [-1,5], the absolute (global) maximum value is =____

10. The area between two curves y = 1 - x and y= e^x from x = -1 to x = 4 is =____

【已刪除】1. Determine the improper integral

dx is convergent or divergent.

2. Consider the function f(x,y) = 16xy -x⁴ -2y², Find all relative extrema and identify any saddle point.

3. Find the volume under the surface f(x,y) =

and over the domain D which is the region hounded by curves y = x, x = 0 and y = 3.