Since the start of July, OHaganBooks.com has seen its weekly sales increase. OHaganBooks.com fits the curve w(t) = 36t2 + 245t + 6,238 (0 ≤ t ≤ 6) to its weekly sales figures as shown in the following graph. The t w coordinate plane is given with horizontal axis labeled "weeks" and vertical axis labeled "book sales." Six points are plotted with a curve through them. The curve enters the window at approximately w = 6240 on the positive w-axis, goes up and right becoming more steep, and exits the window in the first quadrant. (a) Compute the derivative function w′(t). w′(t) =
Since the start of July, OHaganBooks.com has seen its weekly sales increase. OHaganBooks.com fits the curve w(t) = 36t2 + 245t + 6,238 (0 ≤ t ≤ 6) to its weekly sales figures as shown in the following graph. The t w coordinate plane is given with horizontal axis labeled "weeks" and vertical axis labeled "book sales." Six points are plotted with a curve through them. The curve enters the window at approximately w = 6240 on the positive w-axis, goes up and right becoming more steep, and exits the window in the first quadrant. (a) Compute the derivative function w′(t). w′(t) =
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 51E
Related questions
Question
Since the start of July, OHaganBooks.com has seen its weekly sales increase.
OHaganBooks.com fits the curve
w(t) = 36t2 + 245t + 6,238 (0 ≤ t ≤ 6)
to its weekly sales figures as shown in the following graph.
The t w coordinate plane is given with horizontal axis labeled "weeks" and vertical axis labeled "book sales." Six points are plotted with a curve through them. The curve enters the window at approximately w = 6240 on the positive w-axis, goes up and right becoming more steep, and exits the window in the first quadrant.
(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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell