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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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9. Evaluate
dx (5%)
其他申論題
(h) local or absolute maximum/minimum (s) are__(6h) (2%)__
#510498
(i) range= __(6i) (2%)__
#510499
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
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
13. Find the volume of the parallelepiped determined by vectors a =i+ j-k, b=i-j+k, c=i+j+k. (10%)
#510506
14. Find the Maclaurin series of the function and its radius of convergence. (10%)
#510507
15. Evaluate the integral for by making an appropriate change of variables, where R is given by the inequality |xl+ly |≤1.(10%)
#510508