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.