Southwest Airlines The number of employees, inthousands, of Southwest Airlines can be modeledby the function E(t) = 0.017t2 + 2.164t + 8.061,where t is the number of years after 1990. SouthwestAirlines’ revenue during the same time period isgiven by the model R(E) = 0.165E - 0.226 billiondollars when there are E thousand employees of thecompany.a. Find and interpret the meaning of the functionR(E(t)).b. Use the result of part (a) to find R(E(3)). Interpretthis result. c. How many employees worked for SouthwestAirlines in 1997?d. What was the 1997 revenue for this airline?

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Q: In 1991, the cost of mailing a 1 oz. first-class letter was 29 cents, and the inflation rate was…

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Q: Suppose the income from an Internet access business is a continuous income stream with annual rate…

A: We have given the rate of annual flow,f(t)=900 t e-0.1t

Q: ) Complete the table.

A: The projected percentage after t years from 2010 is given by P=0.177t-345.7

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Q: What is another method for combining functions?

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Q: The value, v of a computer is modeled by the function V(t)=500(0.82)^t where t is the number of…

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Q: For the years from 2006 and projected to 2021, the national health care expenditures H, in billions…

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Q: An investment appreciates 2% per year. Originally $5000 is invested. What is an equation for the…

A: here we have to find the equation for the number of years since the money is invested as a function…

Q: #4 The function E (t) = 4.66459 t4.4054 describes the available capacity (in kilowatt hours = kWh)…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.