Use the intermediate value theorem to find the value of c such that f(c) = M. f(x) = x^2 - x + 1 text( on ) [1,8]; M = 21 c =

Step-by-step explanation:

Given

Required

Find c using Intermediate Value theorem

First, check if the value of M is within the given range:

M is within range.

Solving further:

We have:

Substitute 21 for f(x) in

Express as quadratic function

Expand

or

or

The value of is outside the

So:

By comparison:

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