Acontinuous-time sinusoid x(t) is sampled at 5000 hz, which is above the nyquist rate a section of 512 samples is extracted from the sampled signal x[n], for example, x[n] for 1001 < n < 1512 then a 512-point dft is computed. the resulting 512-point dft xk] is nonzero only for k = 100, and for k = 412. determine the frequency (in hz) of the continuous-time signal x(t) the answer should be a positive number, with 4 or more significant digits. you can use fixed or exponential notation (e. g., 1574.5 or 1.5745e3) frequency (hz) of x(t) insert a numerical answer