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An ______ satisfies the condition $ \int_{a}^{b} f(x)g(x) dx = 0 $
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) $
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)
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)
A set {sinx, sin2x, ..., sinnx} are mutually ______ on (0, π)
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The integral $ \int_{-2}^{2} x \cdot x^2 dx $ evaluates to ______
The integral $ \int_{-2}^{2} x \cdot x^2 dx $ evaluates to ______
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