Calculus Applications of Integrationrates using integration 4. Football fans enter a sports stadium at a rate of r(t) people per hour, where t is tíme in hours.If there are 18,000 people in the stadium at the end of the first hour, write an expression thatwould represent the number of fans inside the stadium by the end of the second hour.2. A water treatment plant processes gray water at a rate given by r(t) = 16e0.2t million gallonsper year, wheretis the time measured in years for 0 St< 5. Write an expression that givesthe amount of gray water processed by the treatment plant during the time interval 0

Since you have posted a multiple question according to guildlines I will solve first (Q2)…

2. A water treatment plant processes gray water at a rate given by r(t) = 16e0.2 million gallons per year, where t is the time measured in years for 0 St≤ 5. Write an expression that gives the amount of gray water processed by the treatment plant during the time interval 0 ≤ t ≤5.

2. A water treatment plant processes gray water at a rate given by r(t) = 16e0.2 million gallons per year, where t is the time measured in years for 0 St≤ 5. Write an expression that gives the amount of gray water processed by the treatment plant during the time interval 0 ≤ t ≤5.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter7: Exponents And Exponential Functions

Section7.8: Transforming Exponential Expressions

Problem 13PFA

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Question

Calculus Applications of Integration

rates using integration

4. Football fans enter a sports stadium at a rate of r(t) people per hour, where t is tíme in hours.
If there are 18,000 people in the stadium at the end of the first hour, write an expression that
would represent the number of fans inside the stadium by the end of the second hour.
2. A water treatment plant processes gray water at a rate given by r(t) = 16e0.2t million gallons
per year, wheretis the time measured in years for 0 St< 5. Write an expression that gives
the amount of gray water processed by the treatment plant during the time interval 0 <ts 5.

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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