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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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5. Pind the radius of convergence and interval of convergence of the series
.(15%)
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(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
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
(1)
#506179
(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
.(15%)
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.(15%)