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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)
(1)
其他申論題
2. Please sketch the curve (You must describe the domain, intercepts, symmetry, asymptotes, increasing or decreasing, local maximum and minimum values, and concavity and points of inflection.) (15%)
#506175
3. If f(x,y)= f(x,y) exists? Why?(10%)
#506176
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
(2) ∫e2xsin(3x) dx
#506180
(3) x ln x dx
#506181
(4)
#506182
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
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