A company determines that monthly sales S(t), in thousands of dollars, after t months of marketing a product is given by S(t) = 2t³ - 55t² +290t+160. a) Find S'(2), S'(3), and S'(5). b) Find S'' (2), S'(3), and S'(5). c) Interpret the meaning of your answers to parts (a) and (b). (a) First, find S' (t). S'(t) =

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