1 Because of the popularity and power of smartphones demand

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

	16 3 x5 16 3 x5 dx

Solution

1)let  monthly global data traffic be G(x)

G(x)=5.3e^0.527x petabytes

relative growth rate in any year x is =G\'(x)

relative growth rate in any year x is =(5.3e^0.527x)*0.527

relative growth rate in any year x is =(2.7931e^0.527x) 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