The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.02t° +0.31 +2t + 9. (A) Find S'(t). (B) Find S(6) and S'(6) (to two decimal places). (C) Interpret S(12) = 110.76 and S'(12) = 17.84. (A) S'()=
The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.02t° +0.31 +2t + 9. (A) Find S'(t). (B) Find S(6) and S'(6) (to two decimal places). (C) Interpret S(12) = 110.76 and S'(12) = 17.84. (A) S'()=
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![**Problem 2.5.89-BE**
The total sales of a company (in millions of dollars) \( t \) months from now are given by:
\[ S(t) = 0.02t^3 + 0.3t^2 + 2t + 9 \]
**Tasks:**
- (A) Find \( S'(t) \).
- (B) Find \( S(6) \) and \( S'(6) \) (to two decimal places).
- (C) Interpret \( S(12) = 110.76 \) and \( S'(12) = 17.84 \).
**Solution:**
**(A)** \( S'(t) = \) [Answer Box]
**(B)**
- Calculate \( S(6) \).
- Calculate \( S'(6) \) with values rounded to two decimal places.
**(C)**
- Interpretation of \( S(12) = 110.76 \) and \( S'(12) = 17.84 \).
To input your answers, type them in the answer box and then click "Check Answer."
There are 3 parts remaining to complete.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F275dfc1d-008f-481a-80af-7eb20780ee2e%2F4ea63e9e-5437-4bb0-b351-c5ee2c70b85e%2Fb14bcfp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 2.5.89-BE**
The total sales of a company (in millions of dollars) \( t \) months from now are given by:
\[ S(t) = 0.02t^3 + 0.3t^2 + 2t + 9 \]
**Tasks:**
- (A) Find \( S'(t) \).
- (B) Find \( S(6) \) and \( S'(6) \) (to two decimal places).
- (C) Interpret \( S(12) = 110.76 \) and \( S'(12) = 17.84 \).
**Solution:**
**(A)** \( S'(t) = \) [Answer Box]
**(B)**
- Calculate \( S(6) \).
- Calculate \( S'(6) \) with values rounded to two decimal places.
**(C)**
- Interpretation of \( S(12) = 110.76 \) and \( S'(12) = 17.84 \).
To input your answers, type them in the answer box and then click "Check Answer."
There are 3 parts remaining to complete.
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