Since the start of July, OHaganBooks.com has seen its weekly sales increase. OHaganBooks.com fits the curve w(t) = 36t2 + 252t + 6,242 (0 s t s 6) to its weekly sales figures as shown in the following graph. w (book sales) 9,000 8,500 8,000 7,500
Since the start of July, OHaganBooks.com has seen its weekly sales increase. OHaganBooks.com fits the curve w(t) = 36t2 + 252t + 6,242 (0 s t s 6) to its weekly sales figures as shown in the following graph. w (book sales) 9,000 8,500 8,000 7,500
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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![Since the start of July, OHaganBooks.com has seen its weekly sales increase.
OHaganBooks.com fits the curve
w(t) = 36t2 + 252t + 6,242 (0 <t< 6)
to its weekly sales figures as shown in the following graph.
w (book sales)
9,000
8,500
8,000
7,500
7,000
6,500
+ t (week)
5 6
1
2 3
4
i
(a) Compute the derivative function w'(t).
w'(t)
(b) According to the model, what was the rate of increase of sales at the beginning of the second week (t = 1)?
books per week
(c) If we extrapolate the model, what would be the rate of increase of weekly sales at the beginning of the eighth week (t = 7)?
books per week](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa407b1c4-1f74-44fd-aef6-5bfef8018262%2F72c8dc9b-9040-4d9f-b2b8-3af3b83c4e25%2Fkdvetdm_processed.png&w=3840&q=75)
Transcribed Image Text:Since the start of July, OHaganBooks.com has seen its weekly sales increase.
OHaganBooks.com fits the curve
w(t) = 36t2 + 252t + 6,242 (0 <t< 6)
to its weekly sales figures as shown in the following graph.
w (book sales)
9,000
8,500
8,000
7,500
7,000
6,500
+ t (week)
5 6
1
2 3
4
i
(a) Compute the derivative function w'(t).
w'(t)
(b) According to the model, what was the rate of increase of sales at the beginning of the second week (t = 1)?
books per week
(c) If we extrapolate the model, what would be the rate of increase of weekly sales at the beginning of the eighth week (t = 7)?
books per week
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