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研究所、轉學考(插大)-微積分
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103年 - 103 國立臺北大學_學士班暨進修學士班轉學生招生考試試題_資訊工程學士、通訊工程學系學士班二年級:微積分#119732
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題組內容
6. Analyze the function
and please find its
(i) range= __(6i) (2%)__
其他申論題
(e) intervals of increasing or/and decreasing are __(6e) (2%)__
#510495
(f)) refection points(p,f(p)), where p =__ (6f) (2%)__
#510496
(g) intervals of concaving upward or downward are __(6g) (2%)__
#510497
(h) local or absolute maximum/minimum (s) are__(6h) (2%)__
#510498
Ⅱ 、計算題(計算過程列入計分,並標註最後答案)7.If f(x)=(2014x6+2x+8)x,find f'(x).(5%)
#510500
8.if f(x)=dt,find f'(x). (5%)
#510501
9. Evaluate dx (5%)
#510502
10. Find to the 1-st decimal place by the Newton's method with an initial guess of x0 =4. (5%)
#510503
Ⅲ、11. Calculatc the itegmdxdzdy (10%)
#510504
12. Find the volume of the given solid under the surface z = xy and above the triangle with vertices (1, 1), (4, 1), and (1, 2). (10%)
#510505