The rate at which water is sprayed on a field of vegetables is given by R (t) = 2sqrt (1+5t^3), where t is in minutes and R (t) is in gallons per minute. During the time interval 0 to 4 inclusive, what is the average rate of water flow, in gallons per minute?

Question

Mathematics

Hodges

2 January, 06:43

The rate at which water is sprayed on a field of vegetables is given by R (t) = 2sqrt (1+5t^3), where t is in minutes and R (t) is in gallons per minute. During the time interval 0 to 4 inclusive, what is the average rate of water flow, in gallons per minute?

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Answers (1)

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Emilee Chen · Answer 1

The formula is 1/b-a int (equation) from zero to four. Just integrate normally and multiply by the first part.

integrate with limits 0,4 then divide by 4

1:4 (limit o to 4) ∫ 2√1+5t^3 dt

= 14.691