The weekly sales S (in thousands of units) for the tth week after the introduction of a product i 250t the market is given by S(t) = t² + 100 1. What are the sales in the first week (week 1)? 2. Does S(t) have any vertical asymptotes? Why or why not? 3. Evaluate lim S(t). What does this mean in the context of the problem? 4. Does S(t) have any horizontal asymptotes? Why or why not?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The weekly sales S (in thousands of units) for the tth week after the introduction of a product in
250t
t² + 100
1. What are the sales in the first week (week 1)?
the market is given by S(t) =
=
2. Does S(t) have any vertical asymptotes? Why or why not?
3. Evaluate lim S(t). What does this mean in the context of the problem?
t→∞
4. Does S(t) have any horizontal asymptotes? Why or why not?
Transcribed Image Text:The weekly sales S (in thousands of units) for the tth week after the introduction of a product in 250t t² + 100 1. What are the sales in the first week (week 1)? the market is given by S(t) = = 2. Does S(t) have any vertical asymptotes? Why or why not? 3. Evaluate lim S(t). What does this mean in the context of the problem? t→∞ 4. Does S(t) have any horizontal asymptotes? Why or why not?
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