PULSE 90 180 90 180 b.l I TH. . . . T (a) Use the solution for M; from above to calculate its value right before the 180 pulse at = TE (b) What is M right after the 180 pulse at = T?'E'? (Hint: just a simple reversal) () Using the differential equations for the Bloch equations in problem 4 solve for the M, right before the second 90 pulse at t = Tr. Solve the Bloch differential equations for M: above again except using the initial condition M. (TE} 1 Z equal to the answer for part (b). (d) The magnetic moment taking into account both longitudinal and transverse relaxation is given by multiplying the solution in (c) by e ez, Simplify this expression for Tr == Tk