The output of a linear system is y(t)=In(kt+1) to the input signals of the form a" (a>1, k are constants). Answer the following: i. Find the output for x(t) = T+ 6(2")-4(3").(Hint: Express 2 and 3 as exponents of a!) ii. Show that the output of the system is identically zero to a constant input. iii. Is this system a LTI system? Why or why not?

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The output of a linear system is y(t)=In(kt+1) to the input signals of the form a" (a>1,
k are constants). Answer the following:
i. Find the output for x(t) = T + 6(2“)- 4(3").(Hint: Express 2 and 3 as
exponents of a!)
ii. Show that the output of the system is identically zero to a constant
input.
iii. Is this system a LTI system? Why or why not?
Transcribed Image Text:The output of a linear system is y(t)=In(kt+1) to the input signals of the form a" (a>1, k are constants). Answer the following: i. Find the output for x(t) = T + 6(2“)- 4(3").(Hint: Express 2 and 3 as exponents of a!) ii. Show that the output of the system is identically zero to a constant input. iii. Is this system a LTI system? Why or why not?
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