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研究所、轉學考(插大)-微積分
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105年 - 105 國立臺北大學_日間學士班暨進修學士班轉學生招生考試試題_資訊工程、通訊工程學系日間學士班二年級:微積分#118653
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3. If f(x,y)=
f(x,y) exists? Why?(10%)
其他申論題
(b) ∫xex^2dx (10%)
#506172
(c) (15%)
#506173
(d) ∫∫Dx + 2y dA, where D is the region bounded by the parabolas y = 2x2 and y = 1 + x2.(15%)
#506174
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
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
(2) ∫e2xsin(3x) dx
#506180
(3) x ln x dx
#506181
(4)
#506182