Question

Amazon's revenue was growing at the rate of $$ R^{\prime}(t)=0.545043 e^{0.291 t} \quad(0 \leq t \leq 6) $$ billion dollars/year in year $t$ with $t=0$ corresponding to $2006 .$ The revenue of the company for 2006 was $\ 10.71$ billion. a. By how much did the revenue of Amazon increase over the period from 2006 through $2012 ?$ b. What was the revenue of the company in $2012 ?$

          Amazon's revenue was growing at the rate of
$$
R^{\prime}(t)=0.545043 e^{0.291 t} \quad(0 \leq t \leq 6)
$$
billion dollars/year in year $t$ with $t=0$ corresponding to $2006 .$ The revenue of the company for 2006 was $\ 10.71$ billion.
a. By how much did the revenue of Amazon increase over the period from 2006 through $2012 ?$
b. What was the revenue of the company in $2012 ?$

Added by Colleen P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Kim Matthews

06/02/2022

Step 1

Integrating $R'(t) = 0.545043e^{0.291t}$ from 0 to 6: $\int_{0}^{6} 0.545043e^{0.291t} dt = 8.862$ Show more…

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Amazon's revenue was growing at the rate of $$ R^{\prime}(t)=0.545043 e^{0.291 t} \quad(0 \leq t \leq 6) $$ billion dollars/year in year $t$ with $t=0$ corresponding to $2006 .$ The revenue of the company for 2006 was $\ 10.71$ billion. a. By how much did the revenue of Amazon increase over the period from 2006 through $2012 ?$ b. What was the revenue of the company in $2012 ?$