所屬科目：研究所、轉學考(插大)-微積分
(a) =___________;
(b) =___________
(c) =___________x≠0 ;
2. What is the value of k that makes the function continuous at x = 0 ? k =__________ . （6%）
3. Let . Find the values of a m b , , that make f differentiable everywhere. (a,m,b )=_________ . （6%）
4. Suppose dt and x≥ 0 . If F-1 is the inverse function of F , then the value ( F-1 ) (0)=___________ . （6%）
5. Find the area of the region between the x-axis and the graph of f (x)= x3-x2-2x，-1≤x≤2?____________ .（6%）
6. Evaluate =?________ . （6%）
7. What is the convergent interval of the power series ? _________. （6%）
8. Evaluate dydx , where R is the semicircular region bounded by the x-axis and the curve .________ . （6%）
1. Suppose f is a function that satisfies the equation f (x+y) =f(x)+f(y)+x2y+xy2for all real numbers x and y . Suppose also that . Then f'(x)=_________ . （10%）
2. Evaluate the limit . （10%）
3. Find the maximum and minimum values of f (x,y)=x2+y2-2x-2y+5 on the closed region R{( x,y ) |x2+y2≤ 9}（10%）
阿摩線上測驗
登入
阿摩線上測驗
登入
=___________;
=___________
=___________
x≠0 ;
continuous at x = 0 ? k =__________ . （6%）
. Find the values of a m b , , that make f differentiable everywhere. (a,m,b )=_________ . （6%）
dt and x≥ 0 . If F-1 is the inverse function of F , then the value ( F-1 ) (0)=___________ . （6%）
=?________ . （6%）
? _________. （6%）
dydx , where R is the semicircular region bounded by the x-axis and the curve 
.________ . （6%）
. Then f'(x)=_________ . （10%）
. （10%）