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State the Intermediate Value Theorem. Use it to show that the equation f (x) =x5 +10x +1 =0 has a solution in the interval (?1, 1). Make sure you verify that the hypotheses of the theorem hold in this case and explain how the theorem is used. Then find an interval of length less than 0.1 that contains a solution of f (x) =0.

by Essaynice Tutors | Sep 8, 2023 | calculus

State the Intermediate Value Theorem. Use it to show that the equation
f (x) =x5 +10x +1 =0
has a solution in the interval (?1, 1). Make sure you verify that the hypotheses of the theorem
hold in this case and explain how the theorem is used. Then find an interval of length less
than 0.1 that contains a solution of f (x) =0.