阿摩線上測驗
登入
首頁
>
研究所、轉學考(插大)-微積分
>
106年 - 106 國立臺灣師範大學_轉學生招生考試試題_機電工程學系二年級:微積分#120192
>
【試題 4】(15 分) Evaluate
, where C is the parabolic arc given by y = 4x - x² from (4, 0) to (1, 3).
其他申論題
3. 專輔教師在學生從少年觀護所回來學校就讀後,應該如何與學務處、縣市政府少年 輔導委員會的少年輔導員、學生輔導諮商中心的心理師、社會工作師、少年法院的 少年調查官或少年保護官等進行跨體系、跨機構分工合作?
#511766
【試題 1】(10 分) Evaluatedx.
#511767
【試題 2】(10 分) Determine the slope of the graph of 3(x² + y²)² = 100xy at the point (3, 1).
#511768
【試題 3】(15 分) Let R be the region bounded by the square with vertices (0, 1), (1, 2), (2, 1), (1, 0). Evaluate the integral dA.
#511769
【試題 5】(20 分) Let S be the region bounded by the cylinder: x² + y² = 4, 0 ≤ z ≤ 1. Find the outward flux of the vector field through the cylinder.
#511771
【試題 6】(20 分) Use Green's theorem to evaluate the line integralwhere C is the boundary of the region defined by x = 0, y = 0, and x + y = 1.
#511772
(a) (5 分) Let be a force, calculate the work done in the displacement along the helix C: from A(2, 0, 0) to B(0, 2, 3π).
#511773
(b) (5 分) What is ds, where C is the arc of the helix x = cost, y = sint, z = t, which joins the points (1, 0, 0) and (-1, 0, π)?
#511774
1. (10分) If y =, find the value of as x = 0.
#511775
2. (10分) If z = f(x - 2y), find the value of .
#511776