8) (a) State the Mean Value Theorem. (b) Iff is a continuous and differentiable function on the interval [-1, 2] and f(x) = x³ + 2x² + x. Use the Mean Value Theorem to find a number c in the given interval.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 52E
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8) (a) State the Mean Value Theorem.
(b) If f is a continuous and differentiable function on the interval [-1, 2] and f(x) = x³ + 2x² + x. Use the
Mean Value Theorem to find a number c in the given interval.
Transcribed Image Text:8) (a) State the Mean Value Theorem. (b) If f is a continuous and differentiable function on the interval [-1, 2] and f(x) = x³ + 2x² + x. Use the Mean Value Theorem to find a number c in the given interval.
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