a. Is the value of a positive, negative, or zero?  Explain. b. Write an expression in terms of a and b that represents the year t when the company had the least revenue. c. The company made the same yearly revenues in 2008 and 2018.  Estimate the year in which the company had the least revenue. d. Assume that the model is still valid today.  Are the yearly revenues currently increasing, decreasing, or constant?  Explain.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The graph shows a quadratic function of the form R(t) = at2+bt+c, which represents the yearly revenue for a company, where R(t) is the revenue in year t.

 

a. Is the value of a positive, negative, or zero?  Explain.

b. Write an expression in terms of a and b that represents the year t when the company had the least revenue.

c. The company made the same yearly revenues in 2008 and 2018.  Estimate the year in which the company had the least revenue.

d. Assume that the model is still valid today.  Are the yearly revenues currently increasing, decreasing, or constant?  Explain.

R
R() = at2 + bt +c
Year, t
Yearly revenue, R
Transcribed Image Text:R R() = at2 + bt +c Year, t Yearly revenue, R
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