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研究所、轉學考(插大)-微積分
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106年 - 106 國立暨南國際大學_轉學生入學考試試題_應化系二、土木系二、應光系二：微積分#124594
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題組內容
1. (10%) Show that
(b) (5%)
does not exist
其他申論題
1. Define f(x, y) = for x, y . Show that f is not differentiable at (0,0).
#529908
2. Let f(x) =Show that f is differentiable at each x and that f' is not continuous at 0.
#529909
3. Two right circular cylinders of radius 1 have axes that intersect at right angles. Find the volume of the solid common to the two cylinders.
#529910
(a) (5%)
#529911
(a) (5%) Find
#529913
(b) (5%) Evaluate
#529914
(c) (5%) Evaluatee-rr² sinΦdr dθ dΦ
#529915
3. (10%) Find the average value of f(x) = sin²x on the interval [0, 2π]
#529916
(a) (10%) Find the Maclaure series for f(x) = ln(1+x) and the interval of convergence.
#529917
(b) (5%) Evaluate
#529918
does not exist
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does not exist