The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R'(x) = (x + 7) In (x + 7). Find the total revenue from the sale of the first 11 calculators. (Hint: In this exercise, it simplifies matters to write an antiderivative of x + 7 as (x+7)² 2 rather than x² 2 X/A+A 2 +7x.) The total revenue is $ (Round the final answer to the nearest cent as needed. Round all intermediate values to two decimal places as needed.)

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
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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The rate of change of revenue (in dollars per calculator) from the sale of x calculators
is R'(x) = (x + 7) In (x + 7). Find the total revenue from the sale of the first 11
calculators. (Hint: In this exercise, it simplifies matters to write an antiderivative of
x²
rather than +7x.)
2
x + 7 as
(x+7)²
2
The total revenue is $
(Round the final answer to the nearest cent as needed. Round all intermediate
values to two decimal places as needed.)
Transcribed Image Text:The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R'(x) = (x + 7) In (x + 7). Find the total revenue from the sale of the first 11 calculators. (Hint: In this exercise, it simplifies matters to write an antiderivative of x² rather than +7x.) 2 x + 7 as (x+7)² 2 The total revenue is $ (Round the final answer to the nearest cent as needed. Round all intermediate values to two decimal places as needed.)
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