Let V be the vector space of differentiable real-valued functions on the interval[-1,1] with inner product \langle\underline{f}, \underline{g}\rangle=\int_{-1}^{1} f(t) g(t) d t Let W be the subspace of V spanned by 1, t². (a) Find an orthogonal basis of W. (b) Find the function in the line spanned by t closest to et.