Search for Truth 2 points each Answer TRUE or FALSE to the f

Search for Truth: {2 points each} Answer TRUE or FALSE to the following propsitions: If y(t) = S[x(t)] maps zero to zero then S is always linear. The Fourier and Laplace transforms of x(t) are related by F{x(t)}jw) = L{x(t)}(s)|s=jw if L{x(t)}(jw) is well defined. The delta function and unit step function are related by integral_-infinity^infinity delta(t- tau)Dtau = u(t). In general, the (i, j)-th component of e^At is e^aijt. An odd function has a trigonometric Fourier series consisting of only casino terms.

Solution

False

True

True

False

False