The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.05t³ + 0.8t² + 3t+9. (A) Find S'(t). (B) Find S(6) and S'(6) (to two decimal places). (C) Interpret S(9) = 137.25 and S'(9) = 29.55. (A) S'(t) = (B) S(6) = ☐ S'(6) = ☐

The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.05t³ + 0.8t² + 3t+9. (A) Find S'(t). (B) Find S(6) and S'(6) (to two decimal places). (C) Interpret S(9) = 137.25 and S'(9) = 29.55. (A) S'(t) = (B) S(6) = ☐ S'(6) = ☐

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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Question

The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.05t³ + 0.8t² + 3t+9.
(A) Find S'(t).
(B) Find S(6) and S'(6) (to two decimal places).
(C) Interpret S(9) = 137.25 and S'(9) = 29.55.
(A) S'(t) =
(B) S(6) = ☐
S'(6) = ☐

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