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winter 2007

# winter 2007 - 1800W071 MAT 1800 Final Exam SHOW ALL WORK IN...

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1800W071 MAT1800FinalExam SHOWALLWORKINABLUEBOOK: Onlyminimalcreditwillbeawardedforanswerswithoutsupportingwork. 1. (10pts.) Solve: 3 x x 1 x x +4 3 2. (8pts.) Findthedomainofthefunctiongivenby: f ( x )= 2 x +ln(2 x +1)+sin 1 x 3. (12pts.) Let f ( x )= x 2 4 x +7 and g ( x )=5 3 x 2 . Findandsimplifycompletely: (a) ( f g )( x ) (b) f ( x + h ) f ( x ) h 4. (8pts.) Let f ( x )= 6 x +4 4 x +5 . Find f 1 ( x ) , where f 1 istheinversefunctionof f. 5. (8pts.) Anequilateraltrianglehasaheightof10feet. Howlongisoneofitssides? 6. (10pts.) Inan electricalcomponent,thecurrent C (measuredinamps)flowingthroughit, isafunctionofitstemperature T (measuredindegreescelsius). Therelationshipisgivenby C ( T )=2 T T 2 +5 . Findthetemperatureatwhichthecomponentwillallowthemaximum currenttoflowthroughit. Alsofindatwhattemperature(s)thecurrentflowisequaltozero. 7. (10pts.) Let P ( x )= x 5 + x 3 +2 x 2 12 x +8 .Findallsolutionstotheequation P ( x )=0 . 8. (8 pts.) Sketch the graph of the function f ( x )= x 3 3 x . Also Find the average rate of changeofthefunctionfroma) x 1 = 2 to x 2 =0 . andb)

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winter 2007 - 1800W071 MAT 1800 Final Exam SHOW ALL WORK IN...

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