5 Questions
An ______ satisfies the condition $ \int_{a}^{b} f(x)g(x) dx = 0 $
orthogonal function
A function is said to be periodic with period T if the following is true, $ f(x + T) = f(x) $
periodic function
The functions $ f(x) = x $ and $ g(x) = x^2 $ are ______ on (-2, 2)
orthogonal
A set {sinx, sin2x, ..., sinnx} are mutually ______ on (0, π)
orthogonal
The integral $ \int_{-2}^{2} x \cdot x^2 dx $ evaluates to ______
0
Test your understanding of periodic functions and orthogonal functions with this quiz. Explore the definitions and properties of periodic functions, as well as the concept of orthogonal functions. Sharpen your knowledge of these fundamental mathematical concepts.
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