Question

the average value of f(x) = e^(-2x) within the range [0, 3] ?

Answer 1

\[\frac{1}{3}\int _0^3e^{-2x}dx\] is what you are looking for

Answer 2

dont think so

Answer 3

im looking for the average rate of change

Answer 4

anti derivative of \(e^{-2x}\) is straightforward

Answer 5

oh sorry, i thought it was "average value"

Answer 6

the value of the secant line between those 2 points

Answer 7

I think it would simply be: [e^(-6) - e^0]/(3-0) ?

Answer 8

^ if what you want is the average rate of change in that interval.

Answer 9

Or [e^(-6) - 1]/3 or [(1/e^6) - 1]/3 or (1 - e^6)/3e^6 would be equivalent expressions.