94年 - 94 淡江大學轉學考_工學院二年級聯招：微積分#55996

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：14

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所屬科目：研究所、轉學考(插大)-微積分

選擇題 (0)

申論題 (14)

【已刪除】1.

【已刪除】2.

【已刪除】3.

【已刪除】4.

【已刪除】5. What is the sum of the geometric series 5

【已刪除】6

【已刪除】7. What is the directional derivative of the function f(x,y) ~ x²y³ - 4y at the point (2，-1) in the direction of the vector

【已刪除】8.

9. If E is the solid bounded by x = 0，y = 0，z = 0，and .x+y+z=1, what is the volume of E ?

10. Find the area of the region enclosed by x = 1 and x = y².

【已刪除】11.

【已刪除】12. Find the interval of convergence of the series

(10 分）

13. Find the local maximum and minimum values and saddle points of f(x,y) = x⁴ + y⁴ — 4xy + 1. (12 分）

14. Find the center of mass of a solid of constant density that is bounded by x = y², x = z ,Z=0 and x = 1. (12 分）