所屬科目：研究所、轉學考(插大)-微積分
1. (a) Find f'(2), where f(x) =
(b) Find if it exists.
2. (a) Evaluate
(b) Evaluate the integral for s ＞ 0.
3. (a) Find the radius of convergence of
(b) Evaluate
5. (a) Evaluate the line integral dt, where C is the curve x= 2t,y =,0 ≤ t ≤ 1.
(b) Find the work done by the force field F(x, y) = xi - y2j in moving a particle from (1,0) to (0, 1) along the quarter-circle r(t) =(cost)i+(sin t)j,0 ≤ t ≤ π/2.
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if it exists.
for s ＞ 0.
dt, where C is the curve x= 2t,y =
,0 ≤ t ≤ 1.