CK12 Calculus - Single Variable

(Marvins-Underground-K-12) #1


  1. Verify the the followinglinearapproximationat Determinethe valuesof for whichthe linear
    approximationis accurateto




  2. Find the quadraticapproximationfor the functionin #3, near




  3. Determinethe valuesof for whichthe quadraticapproximationfoundin #7 is accurateto




  4. Determinethe quadraticapproximationfor near Do you expectthat the
    quadraticapproximationis betteror worsethan the linearapproximation?Explainyour answer.
    Answers




  5. ;




  6. ;




  7. ; ;




  8. Yes; using linear approximation on near we find that ;




  9. Usinglinearapproximationon near we find ;










  10. ; we would expect it to be a better approximation since the graph of
    is similarto the graphof a quadraticfunction.



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