阿摩線上測驗
登入
首頁
>
研究所、轉學考(插大)-微積分
>
96年 - 96 國立暨南國際大學_轉學生入學考試試題_資工系二:微積分#124712
>
7. (10%) Show that the series
converges on [-1,1).
其他申論題
(a) (5%) Find giventhat x(t) = t and y(t) = t2. (These functions parameterize the parabola y=x2)
#530566
(b) (5%) Find giventhat x(t) =1/4(t+4) and y(t) = t. (These functions parametrize the line y=4x-4)
#530567
(c) (5%) Compute the directional derivative of f at (2,4) in the direction of i + 4j.
#530568
(d) (5%) Notice that i + 4j is a direction vector for the line y=4x-4 and this line is tangent to the parabola y=x2 at (2,4). Explain why the computations in ( a ), ( b ), and( c ) yield different values.
#530569
8. (10%) Maximize f(x,y,z) = xyz subject to the side conditionx3 + y3+ z3 = 1, with x≥0, y≥0, z≥0.
#530571
1. 求極限值= ___________。
#530572
2. 求導數，y = =___________。
#530573
3. 求定積分dx =____________。
#530574
4. 求出兩曲線 r = 1 - cosθ 與 r = sinθ 之交點，並以直角座標表示 = ___________(可能不只一點)。
#530575
5. 求冪級數之收斂區間 = __________。
#530576
converges on [-1,1).
阿摩線上測驗
登入
阿摩線上測驗
登入
converges on [-1,1).