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Consider the equation X^9+x-2.01=0. You will be asked in part (c) below to use local linearization to approximate a solution by hand.

(a) Why would we would expect there to be a solution between 1 and 1.01?
(b) Find the local linearization of the function f(x)=x^9 at the base point 1.
(c) Use your local linearization from part (b) to approximate a solution of the equation above.

 

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