The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.04t³ + 0.8t² + 8t+6. (A) Find S'(t). (B) Find S(4) and S'(4) (to two decimal places). (C) Interpret S(12) = 286.32 and S'(12) = 44.48. (A) S'(t)= (B) S(4) = ☐ S'(4) = ☐

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.04t³ + 0.8t² + 8t+6.
(A) Find S'(t).
(B) Find S(4) and S'(4) (to two decimal places).
(C) Interpret S(12) = 286.32 and S'(12) = 44.48.
(A) S'(t)=
(B) S(4) = ☐
S'(4) = ☐
Transcribed Image Text:The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.04t³ + 0.8t² + 8t+6. (A) Find S'(t). (B) Find S(4) and S'(4) (to two decimal places). (C) Interpret S(12) = 286.32 and S'(12) = 44.48. (A) S'(t)= (B) S(4) = ☐ S'(4) = ☐
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