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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 calculate .

    Check your work:

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

    and the actual root should be very close.