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# Area between two curves Suppose f is a differentiable and invertible function on the interval [0,1] such that f (x) 2 x with equality holding at the

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Question: Fine the area between the curves

Area between two curves
Suppose f is a differentiable and invertible function on the
interval [0,1] such that f (x) 2 x with equality holding at the
endpoints. Given that the region bounded by y = 0, x = 1,
and y = f (x) has area A, what is the area of the region
bounded by y = f (x ) and y = f-1(x)?

Date
Page No.
Date
sh
when fa) - cf y(4) - d
fartody+ 10id =bd-at
Q
xp txIF
Nass
-1-A)
T=top o=tor
Jo1 ) =x at ind print
2A -1
mIN
D
mM
My Cody + (401dx - 1 - 0
dy + A-1
D
419 dy -...

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