阿摩線上測驗 登入

108年 - 108 國立臺北大學日間學士班轉學生招生考試試題_經濟學系日間學士班二年級：微積分#116829

科目：研究所、轉學考(插大)-微積分 | 年份：108年 | 選擇題數：0 | 申論題數：15

試卷資訊

所屬科目：研究所、轉學考(插大)-微積分

選擇題 (0)

申論題 (15)

1. The range of 6527556996ed2.jpgis__(1)__.

2. Ify2 = x2+sinxy,then6527559de7066.jpg=__(2)__.

3. The value of 652755d282edf.jpg is__(3)__.

4.Let6527560a05f9b.jpg,then f-1(x)=__(4)__ .(You need indicate x's range too.)
5. Let f be a differentiable one to one function with f(1)=2, f(2)=1, f(3)=0, f'(1)=-6, f'(2)=-2 and f'(3)=-1/2. Then, (f-1)'(0)=__(5)__.
6. The absolute minimum value of f(x)= x4/3-x-x1/3 on the interval of [-1, 6] is__(6)__.

7. The value of 652756a9efd0c.jpg is__(7)__.

8. The value of 652756e48adb1.jpg is__(8)__.

9. Does series 6527570f9fe25.jpgconverge or diverge?__(9)__.

10. Is65275739995f6.jpglarger?__(10)__
1.Use the first three terms of the Taylor series to approximate f(x)=x8+x4+3 at x =1. Then, the result is_ (1)_.

2. Suppose that f is a continuous function satisfying 652757d7bce5e.jpg forall x, and c is a real number such that f(c)=1. Then, expressing f'(c) in terms of c only is__(2)__.

3. For limit 652758139a90b.jpg to exist, the value of constant a=__(3)__.

4. Assume that z and w are differentiable functions of x and y,satisfying the equations xw3+yz2+z3=-1 and zw3-xz3+y2w=1. Then, at (x,y, z, w)=(1,-1,-1, 1), 6527587ba11b7.jpg=__(4)__.

5. The value of652758a6e3b57.jpgis__(5)__.