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研究所、轉學考(插大)-微積分
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108年 - 108 國立臺北大學日間學士班轉學生招生考試_統計學系日間學士班二年級：微積分#116784
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題組內容
5. Evaluate the following integrals.
(d)(7%)
,where R={(x)
R
2
Ix
2
+y
2
≤1} .
其他申論題
(c) (8%) Show that fxx(x,y)+fyy(x,y)=0.
#499010
(a)(8%)
#499011
(b)(7%)
#499012
(c) (8%) , where R is the region bounded by y=x2 and y=.
#499013
(a) (7%) Find .
#499015
(b) (5%) Is f continuous at 0 ? Explain your answer as well.
#499016
(c) (8%) Is f differentiable at 0 ? Explain your answer as well.
#499017
(a) (7%) Find the Taylaor Series for f(x) centered at 1.
#499018
(b) (8%) Find the interval of convergence of the power series in (a).
#499019
(c) (5%) Find the value of the infinite series.
#499020
,where R={(x)
R2Ix2+y2≤1} .
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,where R={(x)R2Ix2+y2≤1} .