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:

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.