Solved: Calculus In Exercises 6568, show that f and g
Chapter 5, Problem 65(choose chapter or problem)
Calculus In Exercises 65 - 68, show that f and g are orthogonal in the inner product space C[a, b] with the inner product
\(\langle f, g\rangle=\int_{a}^{b} f(x) g(x) d x\)
\(C[-\pi / 2, \pi / 2], \quad f(x)=\cos x, \quad g(x)=\sin x\)
Text Transcription:
langle f, g rangle = int_a^b f(x) g(x) dx
C [- pi/2, pi/2], f(x) = cos x, g(x) = sin x
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