(a) Prove that \(\varphi_{1}(t)\) and \(\varphi_{2}(t)\), shown in the figure below, are orthogonal over the interval \(\left(-2 \leq t \leq 2ight.\) ). 

(b) Express the signal \(x(t)=t\) as a weighted sum of \(\varphi_{1}(t)\) and \(\varphi_{2}(t)\) over the same time interval.

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-1 . () 1 2 |- . (1)