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# FL10quiz11 - e The two-sided Laplace transform F s is given...

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ESE 351 Quiz 11 Name: 10/7/2010 Sections 7.1–7.5 a. What is the z transform of f ( k ) = - 1 3 k 1( k )? b. What is the inverse Laplace transform of F ( s ) = 1 s + 3 where Re [ s ] > - 3? Hint: This goes back to a positive-time function. c. What is the inverse z transform of F ( z ) = z z + 1 where | z | > 1? Hint: This goes back to a positive-time function. d. The unilateral z transform is useful in solving a difference equation with initial conditions. What is the unilateral Laplace transform useful for?
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Unformatted text preview: e. The two-sided Laplace transform F ( s ) is given to you with its region of convergence. Now you are to ﬁnd the inverse transform of F ( s ). Why are you given its region of convergence? Explain in one sentence. You may start your sentence with ”Without its region of convergence, . ..”...
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