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Hello tutors, can I get help with the following integration problems? Thank you. 1) A population N is growing in such a way that its

Hello tutors, can I get help with the following integration problems? Thank you.

1) A population N is growing in such a way that its rate of change is N(t) =40+t200t where t is the number of years after 2018 (i.e., year t = 0 is the year 2018). What will the total change in the population be from 2020 to 2025?

2) High levels of E. coli have been found in the Kern River, downstream from the Isabella Dam. The population density of the bacteria, at the point x miles downstream from the dam, has been modeled by the function

(x) =80+x3x5 trillion bacteria per mile Use this to compute the total population of E. coli bacteria in the section of river from 1 mile below the dam to 4 miles below the dam.

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