阿摩線上測驗登入

首頁 > 研究所、轉學考(插大)-微積分 > 103年 - 103 國立成功大學轉學生招生考試試題_微積分_(商管系所聯招)#113208 >

8. (10 points) Evaluate ∫∫_Rxy dA , where R is the region bounded by and y=0, by converting to Polar Coordinates.

其他申論題

4. (10 points) Find the convergence set of

5. (10 points) Gauss' probability integral isEvaluate

6. (10 points) Determine and classify the stationary points of the function f(x,y)=xy+(x-y)3.

7. (10 points) Evaluate

9. (10 points) A certain gas satisfies the law where p=presure, V=volume, and T=temperature. Calculate and at the point where p=V=1 and T=2.

2. Find f'(2) if f(x)= and g(x) =

3. Trochoid x = 20 - sinθ, y = 2 - cosθ. Find the tangent line of the curve at θ = .

4. Trochoid x = 2θ - sinθ, y = 2 - cos θ. Find the area under the curve and above the x-axis for 0≤θ≤2π.

5. Let the region R be enclosed by the curves y = x2 and y = 2 -x2. Find the volume of the solid obtained by rotating the region R about x=1.

阿摩線上測驗

提供最完整的考試資料庫，包含歷年試題、詳解、申論題等學習資源，
幫助學生有效準備各類考試。

© 2008-2026 Yamol Tech Ltd. All Rights Reserved.
阿摩線上測驗--最強大的互動線上測驗版權所有

如有任何問題或建議，歡迎聯繫我們