CK12 Calculus - Single Variable

(Marvins-Underground-K-12) #1

In problems#4–6,find the extremaand sketchthe graph.















  1. Verify Rolle’s Theoremby findingvaluesof for which and

  2. Verify Rolle’s Theoremfor

  3. Verify that the MeanValue Theoremworksfor

  4. Provethat the equation has a positiveroot at and that the equation
    has a positiveroot less than


Answers



  1. Absolutemax at absoluteminimumat relativemaximumat Note:thereis no
    relativeminimumat becausethereis no openintervalaround sincethe functionis defined
    only on the extremevaluesof are

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