(6). Find the area bound by y = 2 x and y = 2x over 0 &lt; x &lt; 2π. (8%)

(6). Find the area bound by y = 2 x and y = 2x over 0 < x < 2π. (8%)

阿摩線上測驗 · 2026-10-22T10:43:40+08:00

(6). Find the area bound by y = 2 x and y = 2x over 0 < x < 2π. (8%)

2. 所有題目請敘述計算過程，無計算過程不給分( 50%) (1). Let A = $$\begin{bmatrix} 0 & 1 & 1 & -1 \\ 1 & 0 & -1 & 1 \\ 1 & -1 & 0 & 1 \\ -1 & 1 & 1 & 0 \end{bmatrix}$$ (a) Write down the characteristic polynomial of $ A $ and use it to find the eigenvalues. (8%)

題組內容

(6). Find the area bound by \( y = 2\sin x \) and \( y = \sin 2x \) over \( 0 < x < 2\pi \). (8%)

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