What is the average value of the function f ( t ) = t e...

2nalfq8

2nalfq8

Answered

2022-07-04

What is the average value of the function f ( t ) = t e t 2 on the interval [0,5]?

Answer & Explanation

soosenhc

soosenhc

Expert

2022-07-05Added 16 answers

1 5 0 0 5 t e t 2 d t = 1 10 0 5 e t 2 ( 2 t ) d t
= 1 10 [ e t 2 ] 0 5
= 1 10 ( e 25 e 0 )
= 1 10 ( 1 e 25 )

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