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Single Variable Calculus

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Use the Mean Value Theorem on a Polynomial

SVCALC-JEEW5D

If the Mean Value Theorem applies, find all points guaranteed to exist on this interval:

$$f(x)=x^3-4x^2+2x\quad\text{on }[0,3]$$

A

It does not apply

B

$\left\{ .451 , 2.215 \right\}$

C

$\left\{ .586 \right\}$

D

$\left\{ 1 \right\}$

E

$\left\{ .279 , 2.387 \right\}$