Calculus In Exercises 3942, use the functions f andg in C[1, 1] to find (a) f, g, (b) )

Chapter 5, Problem 39

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Calculus In Exercises 39 - 42, use the functions f and g in C[-1, 1] to find (a) \(\langle f, g\rangle\), (b) \(||f||\), (c) \(||g||\), and (d) \(d(f, g)\) for the inner product

\(\langle f, g\rangle=\int_{-1}^{1} f(x) g(x) d x\)

\(f(x)=1, \quad g(x)=4 x^{2}-1\)

Text Transcription:

langle f, g rangle

||f||

||g||

d(f, g)

langle f, g rangle = int_{-1}^{1} f(x) g(x) dx

f(x) = 1,     g(x) = 4x^2 - 1

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