A company estimates that its sales will grow continuously at a rate given by the function S'(t) = 39 e ¹ where S'(t) is the rate at which sales are increasing, in dollars per day, on day t a) Find the accumulated sales for the first 10 days. b) Find the sales from the 2nd day through the 5th day. (This is the integral from 1 to 5.) a) The accumulated sales for the first 10 days is $ (Round to the nearest cent as needed.) b) The sales from the 2nd day through the 5th day is $ (Round to the nearest cent as needed.)

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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A company estimates that its sales will grow continuously at a rate given by the function
S'(t) = 39 et
where S'(t) is the rate at which sales are increasing, in dollars per day, on day t.
a) Find the accumulated sales for the first 10 days.
b) Find the sales from the 2nd day through the 5th day. (This is the integral from 1 to 5.)
a) The accumulated sales for the first 10 days is $
(Round to the nearest cent as needed.)
b) The sales from the 2nd day through the 5th day is $
(Round to the nearest cent as needed.)
Transcribed Image Text:A company estimates that its sales will grow continuously at a rate given by the function S'(t) = 39 et where S'(t) is the rate at which sales are increasing, in dollars per day, on day t. a) Find the accumulated sales for the first 10 days. b) Find the sales from the 2nd day through the 5th day. (This is the integral from 1 to 5.) a) The accumulated sales for the first 10 days is $ (Round to the nearest cent as needed.) b) The sales from the 2nd day through the 5th day is $ (Round to the nearest cent as needed.)
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