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> 92年 - 92 淡江大學 轉學考 應用數學#56102
92年 - 92 淡江大學 轉學考 應用數學#56102
科目：
研究所、轉學考(插大)-應用數學 |
年份：
92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)-應用數學
選擇題 (0)
申論題 (7)
1. Consider the conic 5x
2
-4xy + 2y
2
=30，find the principal axes of the conic and express the conic in the principal axes. (10 points)
【已刪除】2. Suppose that displacement as a function of time for a moving particle is
, find the equations of the line tangent to the curve described by the particle and the plane normal to this curve at (4, -4，8). (15 points)
【已刪除】3. Use the method of contour integration to evaluate the integral
(15 points)
4. Solve the following differential equation (15 points)
x
2
y'' - 2xy' + 2y = xlnx.
5.Given f{x) = sinx, 0 ＜x ＜π，expand f(x) in Fourier cosine series. (15 points)
【已刪除】6. Given
Where S is the surface bounded by z = 0, z = 5, and x
2
+ y
2
= 16 in the lsl quadrant. (15 points)
【已刪除】7. Solve the following partial differential equation with given boundary conditions. (15 points)
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, find the equations of the line tangent to the curve described by the particle and the plane normal to this curve at (4, -4，8). (15 points) 
(15 points)
Where S is the surface bounded by z = 0, z = 5, and x2 + y2 = 16 in the lsl quadrant. (15 points)