CSUFCalculusAB/BC–SummerHomeworkPacket WelcometoCSUFCalculusABandBC.CalculusisacollegeͲlevelmathematicscoursethatwillcoverthetopicsof differentiation,integration,andslopefieldswithanemphasisonapplicationproblems. Attachedisasummerhomeworkpacket,whichisduethefirstdayofschool.AsstudentsinCSUFCalculusclass,you havechosentoholdyourselftoahigherstandard.Youwillhavetogivemoreofyourtimetostudying;thissummer homeworkpacketforexample.Thepurposeofthissummerworkistoemphasizethenecessityofthisprerequisite knowledgeforyoursuccessinCalculus.Inadditiontoaneedforsolidalgebraskills,yournextyearofmathwillrely heavilyonfunctionsandtheirnotation,trigonometryandlogarithms. Youwillbeusingagraphingcalculatorinthisclass(sometestsarenonͲcalculatorbutsomerequireit).Itisstrongly recommendedthatyoubuyyourowncalculatorifpossible.ThecalculatorthatisrecommendedandtheonethatIuse istheTIͲ84+.IfyoualreadyhaveaTIͲ83,donotbuytheTIͲ84sincetheTIͲ83isjustfine.Ilookforwardtoseeingyouat theendofthesummer.Pleasecheckyourworkwithfriendsandotherresourcesliketheinternet. Mrs.Khanna !"#$%Ͳ&'()*$+,$%-./00# 45+5#. 12+03 62#03 70%5$83'*$%03 !"#$%&'%("##")*+,- ͻ ݔଶ ௫՜ଵଶ ͳʹ ݔ ሺͳሻ Ͷ െ ݔଶ ௫՜ ͷ െ ݔଶ ሺʹሻ ʹͷ െ ݔଶ ௫՜ହ ݔെ ͷ ሺ͵ሻ ͻͲ ݔ ݔଶ ௫՜ଽ ͻ ݔଶ െ ͻݔ ሺͶሻ ͳͶͶ െ ݔଶ ௫՜ ሺ ݔ ͳሻ ሺͷሻ ሺ ݔଶ െ ͳሻ ௫՜ଵ ሺ ݔെ ͳሻ ሺሻ ݔଶ Ͷ ݔ Ͷ ௫՜ିସ ݔʹ ሺሻ ݔଶ െ ͳ ௫՜ଵ ͳ െ ݔ ሺͺሻ ݔଶ ͳ ௫՜ Ͷ ݔଶ െ Ͷ ݔ ͳ ሺͻሻ ߨ ݔଶ ௫՜గ ݔ ߨ ሺͳͲሻ !"#"$%Ͳ#&'()$*'++%,-."&%/&/%0/1 )'+)#+#&Ͳ+,*,"& ! "#$%&'()*+,%-!.%&/0122$! 67-7$0! ! ! 34-25! 84$25!! !!!!!!!!!!!!!!!92&7%:5!!!!!!!!!!!!!!!!),%&25 ! !"#$%&'(%)"*"&+% ʹ ݐ ͳ ! ା՜ାஶ ͷ ݐെ ʹ ሺͳሻ ! ʹ ݔ ! ௫՜ିஶ Ͷ െ ͷݔ ሺʹሻ ! ݔଶ െ ʹ ݔ ͳ ! ௫՜ାஶ ͵ ݔଶ ͺ ݔ ͷ ሺ͵ሻ ! ሺͶሻ ݔͶ ! െͷ ௫՜ାஶ ͵ ݔଶ ! ʹ ݕଶ െ ͵ݕ ! ௬՜ାஶ ݕ ͳ ሺͷሻ ! Ͷ ݔଷ ʹ ݔଶ െ ͷ ! ௫՜ିஶ ͺ ݔଷ ݔ ʹ ሺሻ ! ! !"#$#%&'$()*+%,!)--!&./0#(!&1(1&213! ! +)-+$-$(!'!-.,.#(! #$#%&'$()*+%,!4%&5(011#! !! 6),17!8888888888888888888888888888! ! +)-+$-$(!'!-.,.#(! ʹ ݕଷ െ Ͷ ! ௬՜ାஶ ͷ ݕ ͵ ሺሻ ! ሺͺሻ ͵ ݔ ௫՜ିஶ ͳ ! ݔଶ ! ξ ݔଶ Ͷ ! ௫՜ାஶ ݔ Ͷ ሺͻሻ ! ξ ݓଶ െ ʹ ݓ ͵ ! ௪՜ିஶ ݓͷ ሺͳͲሻ % % % % % % % % % % % % % % % !"#$#%&'$()*+%,!)--!&./0#(!&1(1&213! !"#$%Ͳ&'()*$+,$%-./00# 12+03 425*"5".678990%0:#82#8$:6;8:<#/070%8=2#8=0 72#03>0%8$<3'*$%03 )'+)#+#&21,33/%/4",'",$4 ;8:<#/0<0%8=2#8=0$9#/09":*#8$:) 56 ݂ሺݔሻ ൌ ݔെ ͷ 76 ݃ሺݔሻ ൌ ͳ െ ʹ ݔെ ݔଶ 86 ݂ሺݔሻ ൌ ݔଷ െ ͵ ݔଶ ͷ ݔെ ʹ ଵ 96 ݂ሺݔሻ ൌ ଼ ݔെ ݔସ ଼ ଵ ଵ ସ ଶ :6 ܨሺݐሻ ൌ ݐସ െ ݐଶ ସ ;6 ݒሺݎሻ ൌ ߨ ݎଷ ଷ !"#"$%Ͳ#&'()$*'++%,-."&%/&/%0/1 "#"$%Ͳ#&'()$*<$%=&.//" 4'*/>???????????????????????????? )'+)#+#&21,33/%/4",'",$4 @6 ܩሺݕሻ ൌ ݕଵ ݕହ െ ݕଷ ͳ A6 ܨሺݔሻ ൌ ݔଶ ͵ ݔ ଵ ௫మ ଵ B6 ݃ሺݔሻ ൌ Ͷ ݔସ െ ݔସ ସ 5C6 ݃ሺݔሻ ൌ ଷ ௫మ ହ ௫ర 556 ݂ሺݏሻ ൌ ξ͵ሺ ݏଷ െ ݏଶ ሻ 576 ݂ሺݔሻ ൌ ሺʹ ݔସ െ ͳሻሺͷ ݔଷ ݔሻ !"#"$%Ͳ#&'()$*'++%,-."&%/&/%0/1 "#"$%Ͳ#&'()$*<$%=&.//" 4'*/>???????????????????????????? )'+)#+#&21,33/%/4",'",$4 586 ܩሺݕሻ ൌ ሺ െ ͵ ݕଷ ሻଶ 596 ܦ௫ ሾሺ ݔଶ െ ͵ ݔ ʹሻሺʹ ݔଷ ͳሻሿ 5:6 ܦ௫ ቀ ௫ ቁ ௫ିଵ 5;6 ௗ ቀ ௫ మ ାଶ௫ାଵ ቁ ௗ௫ ௫ మ ିଶ௫ାଵ ௗ 5@6 ቀ ହ௧ ௗ ଵିଶ௧ మ ቁ !"#"$%Ͳ#&'()$*'++%,-."&%/&/%0/1