Asked by chola
determine the average value of f(x) over the interval from x=a to x=b, where f(x)=100e^-.5x; a=0, b=4
Answers
Answered by
Damon
(1/4) integral from 0 to 4 of 100 e^-.5 x dx
25 int e^-.5x dx
25 (-2)e^-.5x at 4 - at 0
-50 [ e^-2 - e^0]
-50 [ .135 - 1 ]
-50 [ -.864 ]
43.2
25 int e^-.5x dx
25 (-2)e^-.5x at 4 - at 0
-50 [ e^-2 - e^0]
-50 [ .135 - 1 ]
-50 [ -.864 ]
43.2
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