110 年 - 110 國立臺灣大學_碩士班招生考試_部分系所:微積分(B)#100708　

2.Calculate the given integral.(a)(b)；(c).(15%)

3. State whether the sequence converges as n→∞； if it does, find the limit. (a) (b) (10%)

4. Find the unit tangent, the principal normal, the curvature and wite an equation in x, y, z for the osculating plane at the point on the curve at t=0 and find the length from t=0 to t=ln3. (15%)

6. Let and S be the lower half of the ellipsoid.. Calculate the flux ofin the direction of the upper unit normal. (15%)

7. Take S as the parallelogram bounded by x + y= 0,x+y= 1, x -y=0,x -y= 2. Evaluate .(15%)