II. Suppose that the total worldwide sales for a song album are approximated by the function: 250x³ x³ +7 where, S(x) = S(x) is the measured in millions of dollars; and x is the number of months since the album is released A. Use a graphing tool to show the graph of S(x) in the context of the situation. B. Construct a table to show the total number of sales for the first two years since the album's release. C. What will be the album's gross sales in the long run? Support your answer analytically using the concept of limits.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
II. Suppose that the total worldwide sales for a song album are approximated by the function:
250x³
x³ +7
where,
S(x) =
S(x) is the measured in millions of dollars; and
x is the number of months since the album is released
A. Use a graphing tool to show the graph of S(x) in the context of the situation.
B. Construct a table to show the total number of sales for the first two years since the album's release.
C. What will be the album's gross sales in the long run? Support your answer analytically using the concept
of limits.
D. Based on A, B, and C, discuss the trend of the gross sales of the album.
Consider the function (for questions E and F)
S(x) =
E. What will happen to lim S(x) if k is replaced by any value greater than 7? Any value less than 7? Discuss
x →00
how the number k affects the limit of S(x) as x gets very large. Support your answer graphically to
show the variation.
250x³
x³ + k
F. What will happen to lim S(x) if 250 is replaced by any constant? Support your answer analytically.
x →∞0
Consider the function (for question G)
S(x) =
αχ3
bx³ + k
G. What will happen to lim S(x) if a, b, and k are any constant? Support your answer analytically. How do
the constants a, b, and k affect the total monthly gross sales of the album?
x →∞0
Transcribed Image Text:II. Suppose that the total worldwide sales for a song album are approximated by the function: 250x³ x³ +7 where, S(x) = S(x) is the measured in millions of dollars; and x is the number of months since the album is released A. Use a graphing tool to show the graph of S(x) in the context of the situation. B. Construct a table to show the total number of sales for the first two years since the album's release. C. What will be the album's gross sales in the long run? Support your answer analytically using the concept of limits. D. Based on A, B, and C, discuss the trend of the gross sales of the album. Consider the function (for questions E and F) S(x) = E. What will happen to lim S(x) if k is replaced by any value greater than 7? Any value less than 7? Discuss x →00 how the number k affects the limit of S(x) as x gets very large. Support your answer graphically to show the variation. 250x³ x³ + k F. What will happen to lim S(x) if 250 is replaced by any constant? Support your answer analytically. x →∞0 Consider the function (for question G) S(x) = αχ3 bx³ + k G. What will happen to lim S(x) if a, b, and k are any constant? Support your answer analytically. How do the constants a, b, and k affect the total monthly gross sales of the album? x →∞0
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

hello what about  c and d please

 

Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,