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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)
(2) ∫e
2x
sin(3x) dx
其他申論題
3. If f(x,y)= f(x,y) exists? Why?(10%)
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4. A rectangular box without a lid is to be made from 12m 2 of cardboard. Please use the method of Lagrange multiplier to find the maximum volume of such a box.(10%)
#506177
5. Pind the radius of convergence and interval of convergence of the series .(15%)
#506178
(1)
#506179
(3) x ln x dx
#506181
(4)
#506182
2. lfdt= Inx,ind the value of f(106). (10 points)
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3. Find the equation of the tangent line to the graph x + y - 1 = In(x2 + y2) at point (1, 0). (8 points)
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4. IfO ≤ x,y ≤ , prove that (10 points)
#506185
5. Determine whether the infinite series is convergent or not. (10 points)
#506186
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