所屬科目：研究所、轉學考(插大)-微積分
(a) (hint: use substitution)
(b) (hint: use integration by parts)
(c)
(d)
(a) tan(x/y)=x+y (hint: implicit derivative)
(b)
(e)
3. Find the velocity and acceleration vectors for the position vector
4. Symbolically find δ in terms of ε for
5. Find the Maclaurin series of and its interval of convergence. Also, use it to determine the value of
6. Find a vector function that represents the curve of intersection of the cylinder x² + y² = 4 and the plane y+z=2 with parameter t. Also, find the arc length of the intersection curve for 0≤t≤π.
(a) Find the domain of by the Ratio Test.
(b) Show that satisfies the differential equation: , where and are the second and first derivative of , respectively.
(c) Evaluate the first 3 terms of without calculating the number.
阿摩線上測驗
登入
阿摩線上測驗
登入
(hint: use 
substitution)
(hint: use integration by parts)
and its interval of convergence. Also, use it to determine the value of 
by the Ratio Test. 
satisfies the differential equation: 
, where 
and 
are the second and first derivative of 
, respectively. 
without calculating the number.