Question: a. Find the Laplace transform of the given function. Use Table 2.2 when applicable. b. Confirm the result of (a) in MATLAB. (t cosh t)

a. Find the Laplace transform of the given function. Use Table 2.2 when applicable.

TABLE 2.2 Laplace Transform Pairs No. f(t) F(s) 1 Unit impulse (t)

b. Confirm the result of (a) in MATLAB.

$t \cosh t$

TABLE 2.2 Laplace Transform Pairs No. f(t) F(s) 1 Unit impulse (t) 1 2 1, unit step u,(t) 3 t, unit ramp u,(t) 1/s 1/s 4 8(-a) 5 69 7 8 00 9 u(-a) -1=1,2,... e/s (n-1)!/s" F(a)*/s 1 s+a 1 10 te, n=1, 2,... 1 11 -(e-e"), axb b-a (s+a) n! (s+a)+ 1 (s+a)(s+b) 1 S 12 a-b 1 (ae-be), ab (s+a)(s+b) 1 13 1+ ab a-b -(be -de s(s+a)(s+b) 1 1 14 15 16 16 a (-1+at+e") 1-e-ate) sin of s(s+a) 1 s(s+a) 00 17 cos cof

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