Question: Suppose the function F is given by F(x)=e -2x -x . then F(0)=1 , F(1)=e -2 -1-0.8647 . A) Explain why there must be a

Suppose the function F is given by F(x)=e-2x-x.

then F(0)=1 , F(1)=e-2-1-0.8647.

A) Explain why there must be a root of F in the interval [0,1]

B) use the bisection method to find an interval of the length 1/4 that contains the root of F

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