2. Find the Laplace transform of each of the following functions. You may use rules derived in class, however, if these rules are not helpful, you may need use the limit definition of the Laplace Transform. (a) f(t) = cosh (kt), where k is a real number. (b) f(t)= eat cos(kt), where a and k are real numbers. (c) f(t) = tn, where n = 1, 2, 3, ... (d) f(t) = at + bcos(2t), where a, b are real numbers.
2. Find the Laplace transform of each of the following functions. You may use rules derived in class, however, if these rules are not helpful, you may need use the limit definition of the Laplace Transform. (a) f(t) = cosh (kt), where k is a real number. (b) f(t)= eat cos(kt), where a and k are real numbers. (c) f(t) = tn, where n = 1, 2, 3, ... (d) f(t) = at + bcos(2t), where a, b are real numbers.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Transcribed Image Text:2. Find the Laplace transform of each of the following functions. You may use rules derived in class, however, if these
rules are not helpful, you may need use the limit definition of the Laplace Transform.
(a) f(t) = cosh(kt), where k is a real number.
(b) f(t) = eat cos(kt), where a and k are real numbers.
(c) f(t) = t", where n = 1, 2, 3, .
(d) f(t) = at + bcos(2t), where a, b are real numbers.
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