The Function $f(x)=x \sqrt{64-x^{2}}$ Satisfies the Hypotheses of Rolle's Theorem on the Interval

question 92

Multiple Choice

The function $f(x) =x \sqrt{64-x^{2}}$ satisfies the hypotheses of Rolle's Theorem on the interval $[-8,8]$ . Find all values of c that satisfy the conclusion of the theorem.

• A) \(\pm 4 \sqrt{2}\)
• B) 1
• C) \(\pm 1\)
• D) \(4 \sqrt{2}\)

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