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

4-162.

Sketch .

  1. 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 .

  2. Let . Use Newton's Method to find .

    Check your work:

  3. How close is to the actual root of ? Calculate the error.

    and the actual root should be very close.