The annual sales S of a new product are given by 6000t2 7 + t2' where t is time in years. Osts 3 (a) Complete the table. (Round your answers to one decimal place.) 0.5 1 1.5 2 2.5 Use it to estimate when the annual sales are increasing at the greatest rate. O 0.5

Trigonometry (MindTap Course List)
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Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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Question
The annual sales S of a new product are given by
6000t2
S =
Osts 3
7+ 2
where t is time in years.
(a) Complete the table. (Round your answers to one decimal place.)
t
0.5
1
1.5
2
2.5
Use it to estimate when the annual sales are increasing at the greatest rate.
O 0.5 <t< 1
O1<t< 1.5
O 1.5 <t< 2
O2 <t< 2.5
O 2.5 <t< 3
Transcribed Image Text:The annual sales S of a new product are given by 6000t2 S = Osts 3 7+ 2 where t is time in years. (a) Complete the table. (Round your answers to one decimal place.) t 0.5 1 1.5 2 2.5 Use it to estimate when the annual sales are increasing at the greatest rate. O 0.5 <t< 1 O1<t< 1.5 O 1.5 <t< 2 O2 <t< 2.5 O 2.5 <t< 3
(b) Use a graphing utility to graph the function S.
4000
3000
3500
2500
3000
2000
2500
1500
2000
1500
1000
1000
500
500
0.5
1
1.5
2.5
t
0.5
1
1.5
2.5
3
6000
6000
5000
5000
4000
4000
3000
3000
2000
2000
1000-
1000
0.5
1
1.5
2.5
3
0.5
1.5
2.5
Use the graph to estimate when the annual sales are increasing at the greatest rate. (Round your answer to one decimal place.)
t =
(c) Find the exact time when the annual sales are Increasing at the greatest rate.
t =
2.
2.
Transcribed Image Text:(b) Use a graphing utility to graph the function S. 4000 3000 3500 2500 3000 2000 2500 1500 2000 1500 1000 1000 500 500 0.5 1 1.5 2.5 t 0.5 1 1.5 2.5 3 6000 6000 5000 5000 4000 4000 3000 3000 2000 2000 1000- 1000 0.5 1 1.5 2.5 3 0.5 1.5 2.5 Use the graph to estimate when the annual sales are increasing at the greatest rate. (Round your answer to one decimal place.) t = (c) Find the exact time when the annual sales are Increasing at the greatest rate. t = 2. 2.
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