所屬科目：研究所、轉學考(插大)-微積分
(a)=________.
(b) If f (x)==_________
(c) Find the sum of the series : Ans:________
(d) Find the length of the space curve r (t) = (cos 2t, ) , 0 ≤t≤1. Ans: ________
(e) Evaluate the double integral dxay. Ans:________.
(f) Evaluate the line integraldy, where C is the unit circle x2 + y2 = 1.Ans:_____.
2. (10 pts) Deine for t ＞ 0. Show that F is a strictly decreasing function of t.
4. (12 pts) Find the local extremme values and saddle points of the function f (x, y) = .
5. (12 pts) Find the function f such that
(a) Show that xt log ads enrists.
(b) Evaluate the integral in (a) by considering
(c) Let 'n be a positive integer. Evaluate the integral
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=________.
=_________
: Ans:________
) , 0 ≤t≤1. Ans: ________
dxay. Ans:________.
dy, where C is the unit circle x2 + y2 = 1.Ans:_____.
for t ＞ 0. Show that F is a strictly decreasing function of t. 
.
xt log ads enrists.
