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研究所、轉學考(插大)-微積分
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106年 - 106 國立臺灣師範大學_學士班轉學生招生考試試題_數學系二年級：微積分#118655
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題組內容
1. Evaluate the following integrals: (8 points each)
(4)
其他申論題
5. Pind the radius of convergence and interval of convergence of the series .(15%)
#506178
(1)
#506179
(2) ∫e2xsin(3x) dx
#506180
(3) x ln x dx
#506181
2. lfdt= Inx,ind the value of f(106). (10 points)
#506183
3. Find the equation of the tangent line to the graph x + y - 1 = In(x2 + y2) at point (1, 0). (8 points)
#506184
4. IfO ≤ x,y ≤ , prove that (10 points)
#506185
5. Determine whether the infinite series is convergent or not. (10 points)
#506186
6. Find the relative extrema and saddle point of the function f(x,y) = where (x,y) (10 points)
#506187
7. Find the area of the surface given by f(x, y) = 13 + x2 -y2 over the region {(x,y)x2+y2≤4}(10points)
#506188
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