CK12 Calculus - Single Variable

(Marvins-Underground-K-12) #1

  1. A rectangularswimmingpool has lengththat is yardsgreaterthan its width.
    a. Give the area enclosedby the pool as a functionof its width.


b. Find the dimensionsof the pool if it enclosesan area of squareyards.



  1. Supposeyou purchaseda car in 2004for You havejust foundout that the currentyear 2008
    valueof your car is Assumingthat the rate of depreciationof the car is constant,find a formula
    that showschangingvalueof the car from 2004to 2008.

  2. For problem#8, in whatyear will the valueof the vehiclebe less than?

  3. For problem#8, explainwhy usinga constantrate of changefor depreciationmay not be the best way
    to modeldepreciation.
    Answers

  4. and are two solutions.The interceptsare locatedat and We havea
    linearrelationshipbetween and so its graphcan be sketchedas the line passingthroughany two
    solutions.

  5. by solvingfor we have so two solutionsare and The -intercepts


are locatedat and the -interceptis locatedat The graphis symmetricin the
-axis.



  1. Usingyour graphingcalculator, enterthe relationshipon theY=menu.Viewinga tableof points,we see
    manysolutions,say and and the interceptsat and By inspection
    we see that the graphis symmetricaboutthe origin.

  2. Usingyour graphingcalculator, enterthe relationshipon theY=menu.Viewinga tableof points,we see
    manysolutions,say and and the interceptslocatedat and By in-
    spectionwe see that the graphdoesnot haveany symmetry.

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