Mathematics

Mathematics

Problem

Determine which of the following statements about the function p(x)=xp(x)=\sqrt{x} on the interval [0,4)[0,4) is true. a) The Extreme Value Theorem applies and therefore pp must attain its absolute maximum at x=4x=4. b) The Extreme Value Theorem does not apply because pp is not differentiable at x=0x=0. c) The Extreme Value Theorem does not apply because the interval is not closed at x=4x=4. d) The Extreme Value Theorem applies because pp is continuous on a bounded interval.

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