### Home > CALC > Chapter 4 > Lesson 4.5.1 > Problem 4-162

4-162.

Sketch .

Use the Intermediate Value Theorem to show there is a root between

and . State the conditions of the Intermediate Value Theorem: 'Since

is continuous on the closed domain... Prove the thesis of the IVT: ... and

and, there must be a value, on, such that .Let

Use Newton's Method to find. .Check your work:

How close is

to the actual root of? Calculate the error.and the actual root should be very close.