1) Because of the popularity and power of smartphones, demand for wireless commu
ID: 3026268 • Letter: 1
Question
1) Because of the popularity and power of smartphones, demand for wireless communication is growing rapidly. Suppose monthly global data traffic is predicted to be 5.3e0.527x petabytes, where x is the number of years since 2015. Find the relative growth rate in any year x.
2)Find the indefinite integral. (Use C for the constant of integration.)
3) In 2013, a certain company's annual revenue was 75 billion dollars and growing at the rate of
3.8x + 17.4
billion dollars per year, where x is the number of years since 2013. Find a formula to predict this company's annual revenue at any time x.
I(x) =
Use your formula to predict their revenue in 2020. (Round your answer to one decimal place.)
$ billion
Explanation / Answer
1)let monthly global data traffic be G(x)
G(x)=5.3e0.527x petabytes
relative growth rate in any year x is =G'(x)
relative growth rate in any year x is =(5.3e0.527x)*0.527
relative growth rate in any year x is =(2.7931e0.527x) petabytes per year
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2)question not clear
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3)given x is the number of years since 2013. In 2013, a certain company's annual revenue was 75 billion dollars and growing at the rate of 3.8x + 17.4 billion dollars per year
=>I '(x)=3.8x+17.4 , I(0)=75
I(x)=I '(x) dx
I(x)=(3.8x+17.4) dx
I(x)=(3.8/2)x2+17.4x +c
I(x)=1.9x2+17.4x +c
given I(0)=75
=>1.9*02+17.4*0 +c =75
=>c=75
I(x)=1.9x2+17.4x +75
company's annual revenue at any time x. I(x) = 1.9x2+17.4x +75 billion dollars
in 2020, x=2020-2013=7
revenue in 2020=I(7)
revenue in 2020=1.9*72+17.4*7 +75
revenue in 2020=289.9 billion dollars
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