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Consider the trigonometric function f(t) = -3 + 4 cos(Π/ 3 (t - 3/2 )).
(a) What is the amplitude of f (t)?
(b) What is the period of f(t)?
(c) What are the maximum and minimum values attained by f(t)?
(d) Sketch the graph of f(t) for t ∈ [-6; 6].
Definition Assume that f(t) is a piecewise continuous function. The Laplace transform of f(t) is denoted L{ f (t )} and defined by, There is an optional notation for L
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