Question

Consider the given function and the given interval. f(x) = 2 x , [0, 25](b) Find c such that fave = f(c). (Round your answer to three decimal places.) g

Answer 1

c=1.000

Explanation:

Given that a function f(x) is defined in the interval [0,25]

`f(x) =2x`

Average value of f(x) =
`(f(25)-f(0))/(25-0) =(50)/(25) =2`

We have to find c such that

f(c) =2

i.e. 2c =2

OR c=1

Hence we get f average is 2 and c = 1