題組內容
7. (20%) Given $\varphi_1(t) = 1$, $\varphi_2(t) = t$, $\varphi_3(t) = 3t^2 - 1$,
(i) Show that \( \varphi_1(t) \) and \( \varphi_2(t) \) are mutually orthogonal over the interval (-2, 2)
7. (20%) Given $\varphi_1(t) = 1$, $\varphi_2(t) = t$, $\varphi_3(t) = 3t^2 - 1$,
(i) Show that \( \varphi_1(t) \) and \( \varphi_2(t) \) are mutually orthogonal over the interval (-2, 2)