(a) 1f(2x? - 3x + 4) 6(x) dx (1 and 4 are the limits) (b) ofe* 6(x - 1) dx (0 and 5 are the limits) (c) the Laplace transform of the function 6(t - to), where to is a positive constant

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Use properties of the Dirac delta function 6 (x - X,) to find:
(a) 1f*(2x? - 3x + 4) 6(x) dx (1 and 4 are the limits)
(b) of e* 6(x - n) dx (0 and 5 are the limits)
(c) the Laplace transform of the function 6(t - to), where t, is a positive
constant
(d) the Fourier transform of the function 6(x)
Transcribed Image Text:Use properties of the Dirac delta function 6 (x - X,) to find: (a) 1f*(2x? - 3x + 4) 6(x) dx (1 and 4 are the limits) (b) of e* 6(x - n) dx (0 and 5 are the limits) (c) the Laplace transform of the function 6(t - to), where t, is a positive constant (d) the Fourier transform of the function 6(x)
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