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April 20, 2014

Homework Help: math

Posted by Zisis on Wednesday, January 16, 2013 at 3:02pm.

Suppose that function f:[0,2]->R is continuous at [0,2], differentiable at (0,2) and such that f(0)=0, f(1)=1 and f(2)=1.
a) Show that there is a x1 that belongs to (0,1) such that f'(x1)=1.
b) Show that there is a x2 that belongs to (1,2) such that f'(x2)=0.
c) Show that there is a x3 that belongs to (0,2) such that f'(x3)=2/3.

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