Final answer:
To determine the frequency response H(jω) of the given LTI system with impulse response h(t), we can take the Fourier Transform of h(t). However, the given impulse response is complex and difficult to solve analytically. Therefore, numerical methods or software can be used to plot the frequency response.
Step-by-step explanation:
The frequency response of an LTI system with impulse response h(t) can be obtained by taking the Fourier Transform of the impulse response. In this case, the impulse response is h(t) = sin(5t)sin(15t) / (2cos(25t) × πt²). To determine the frequency response H(jω), we need to take the Fourier Transform of h(t). However, the given impulse response is quite complex and difficult to solve analytically. Therefore, it might be more convenient to use numerical methods or software to plot the frequency response.