The flow graph shown in Figure P6.32 is an implementation of a causal, LTI system....

The flow graph shown in Figure P6.32 is an implementation of a causal, LTI system.

(a) Draw the transpose of the signal flow graph.

(b) For either the original system or its transpose, determine the difference equation relating the input x[n] to the output y[n]. (Note: The difference equations will be the same for both structures.)

(c) Is the system BIBO stable?

(d) Determine y[2] if x[n] = (1/2)ⁿu[n].