}BOBO#dHHHHHH2:H#l. #-ZxHH@RHH@d'~d,,-, ՚  0//]Y..;;/*`՚ /*ٝ4U]/ Ģ! @  Th# \F.DSET- *2V2d2r22h2.0h@.B`H:H}HHHHH:HmHHH` " :  !  ! @/%%  $%399XA *R3%3% .uRC%C%x!3wB%B%H!7uwY%Y%H R;;(!] #!b 88!p x## ț"u ## "z xWW3#pBc&c&b"x_  ػ#U6%6%HU$  E>>%GG% **Xq%x **?&' ;u*u*4+ RE&E&21{RE&E&آ7 yc,c,aV7#7#X[((X`xDDeG%G%Hjx]!]! w B77 Ȟ !? "AgL L h!#6#6# $x!%!%(=!%77h &x,%,%f'x!( 7'7'u!)x 7'7'Hh*16'6'I!+x1ee (u 2Pre-Calculus Final Exam Given find. a.  b. c.  d. Find the exact value forgiven thatand  a. 1.32 b.  c.  d.  Find the partial sum a. 39.3 b.  c. 9.8 d. 0 Find the limit: a. 2 b. 0 c. d. DNE Solve the triangle SRT: a.  b.  c.  Evaluateusing DeMoivres theorem: a.  b.  c.  Express in rectangular form: a.  b.  c.  d.  Evaluate:  a. 3 b. 5 c.  d. does not exist Simplify:  a.  b.  c.  d.  Express in condensed form:  a.  b.  c.  d. N DSET.H2#,!6*1 1 ??1HH 11$, FT,   J$0)]ZsVUIB<;8>TR!ࡱ> Root EntryF`hĿOle OlePres000Equation Native   TG .1    & & MathTypeSymbol-2 F(Symbol-2 ) "-@@Symbol-2  (Symbol-2  )Times New Roman- 2 |fk 2 x 2 x 2 x 2  g 2 8 x 2 xSymbol- 2 p= 2 + 2  = 2 - Times New Roman- 2 G2pTimes New Roman- 2 3 2 3 2 22  and `` 2 ,`G&MathTypeUUx fx()=x 2 x+3 and gx()=3x-2, & "System-x 䂴MEOW fx()=x 2 x+3 and gx()=3x-2,JDSET.H2 70,p!6*  8 8A A ??AHH AA4@PPDJZjdpa:4 5ࡱ> Root EntryF !hĿOle OlePres000 Equation Native L M{ h' .1  @&` & MathType`Symbol-2 ,(Symbol-2  )Symbol-2 (Symbol-2 )Times New Roman- 2 fk 2 8g 2 xSymbol- 2  +'&DMathTypeUU8 f+g()x()6748PN /!ࡱ> Root EntryF@hĿOle OlePres000Equation Native T z f' .1   & & MathType "-@@@Times New Roman- 2 T4 2 2 2 3 Times New Roman- 2 2pTimes New Roman- 2 2x 2 x 2 xSymbol- 2 - 2 +'&DMathTypeUU8 4x 2 -2xx+3 & "System-81䂴MEOW 4x 2 -2xx+3DSET.H2 !#Az,!6*! 1N N1 ??81NHH 1N1NPSYd}t{  #C>6748PN ?!ࡱ> Root EntryFhĿOle OlePres0002Equation Native \  |+ .1   & & MathType "-@@@Times New Roman- 2 T4 2 7 2 6 2 3 Times New Roman- 2 2pTimes New Roman- 2 2x 2 x 2 xSymbol- 2 + 2 - 2 ++&LMathTypeUU@ 4x 2 +7x-6x+3 & "System-@8䂴MEOW 4x 2 +7x-6x+3JDSET.H2( #@l,!6*  h h1M M1 ??41MHH 1M1MV\Ny  #C>6748PN >!ࡱ> Root EntryF hĿOle OlePres0002Equation Native \  |+ .1   & & MathType "-@@@|Times New Roman- 2 T6 2 5 2 9 2 3 Times New Roman- 2 2pTimes New Roman- 2 &x 2 x 2 xSymbol- 2 + 2 + 2 ++&LMathTypeUU@ 6x 2 +5x+9x+3 & "System-@>䂴MEOW 6x 2 +5x+9x+3JDSET.H2D!#Wܣ,6*! 1l l1 ??1lHH 1l1l$4$pld  #C>6748PNU!ࡱ> Root EntryFhĿ@Ole OlePres000Equation Native l  F 7 .1    &`  & MathType "-@@@U Times New Roman- 2 lx 2 x 2 x 2 x Times New Roman- 2 13p 2 2pTimes New Roman- 2 6 2 7 2  6 2  3Symbol- 2 + 2 + 2 x- 2 +7&dMathTypeUUX x 3 +6x 2 +7x-6x+3︈J & "System-PE䂴MEOW x 3 +6x 2 +7x-6x+3DSET.H2`!9L,46*! E E ??EHH EE"BE9?R K892 7ࡱ> Root EntryFhĿOle OlePres000Equation Native  H { J% .1  @& & MathType`Symbol-2 (Symbol-2 )Times New Roman- 2 4sink 2 L,`Symbol- 2 da 2 bSymbol- 2 +%&@MathTypeUU4 sina+b(), J & "System-,xMEOW sina+b(),DSET.H 2|!,@46*!..  ??<HH <lxXd4Dࡱ> Root EntryFThĿOle OlePres000Equation Native  { @I .1  @& & MathType` "-  ^ A  E  A Times New Roman- 2 4sink 2 sink 2 ;,`Symbol- 2 a 2 b 2 a Symbol- 2 Sp{Symbol- 2 = 2  = 2  2   Times New Roman- 2 4p 2 5p 2 L 12pp 2 S 13pp 2 h2pTimes New Roman- 2  0 2 ,` 2 * ` 2  ,` 2   `I&MathTypeUU| sina= 45 , sinb= 1213 , 0a p2 , & "System-|MEOW sina= 45 , sinb= 1213 , 0a p2 ,DSET.H 2!66, [6*!..? ? ???HH ??D\dpptylp`0$($ 4ࡱ> Root EntryF{iĿOle OlePres000Equation Native  H *{ a! .1  @&@ & MathType` "- @  Symbol- 2 Rp{Symbol- 2 b 2 p Times New Roman- 2 g2pSymbol- 2 _ 2 Times New Roman- 2 .`!&8MathTypeUU,  p2 bp.J & "System-,ȪMEOW  p2 bp.DSET.H 4k"!",Q6*") ) ??D)HH ))($((,,,,,,&($((04444,(  ࡱ> Root EntryF iĿOle OlePres000Equation Native  <WE  .1   & & MathType "-@Times New Roman- 2 nH56 2 T65&,MathTypeUU  5665 & "System- MEOW 5665 DSET.H 4k"!(,w6*") ) ??D)HH ))(($$04444,$($((04444,(  ࡱ> Root EntryFDiĿOle OlePres000Equation Native  <WE  .1   & & MathType "-@Times New Roman- 2 nB16 2 T65&4MathTypeUU( 1665E2J & "System- ȿMEOW 1665 DSET.H 4k#U,6*#k k ??kHH kk4$  Sࡱ> Root EntryFiĿOle OlePres000Equation Native  P p 4p 8% .1  ` &  & MathTypePSymbol- 2 `!a 2 `bSymbol- 2 `= 2 `=Times New Roman- 2 `f.` 2 `;k 2 `{.` 2 `927 2 `1 2 `18%&@MathTypeUU4 a=.927;b=1.18 & "System-4MEOW a=.927;b=1.18DSET.H4k#$a,@6*#1z z1 ??1zHH 1z1z$((/Ke MGZTD8 ,$0(880 _"ࡱ> Root EntryF %iĿOle OlePres000TEquation Native    E .1  @ &  & MathTypeSymbol-2 (Symbol-2  )Times New Roman- 2 (S2  for `~~` Times New Roman- 2 6pTimes New Roman- 2 N1 2 23 2  2 Times New Roman- 2 @1pTimes New Roman- 2 .` 2 J .`Times New Roman- 2 k Times New Roman- 2 ?kbSymbol- 2 + Symbol- 2 ={ 2 Symbol- 2 E&MathTypeUUt S 6  for 1.3k+2() k=1  .zJ J~J & "System-h5MEOW S 6  for 1.3k+2() k=1  .DSET.H4l# ,@6*#   ??, HH   %$ $ * * * * * $ $ !   ࡱ> Root EntryF,iĿOle OlePres000nEquation Native (4  .1  &@@@ & MathTypeSymbol- 2 7&MathTypeUU   & "System- <MEOW DSET.H4l,$#4|, 6*$ 1= =1 ??1=HH 1=1=*,0$43430=h_O PPP\PPV'($4x|lDLH2!ࡱ> Root EntryF,iĿOle OlePres000Equation Native x  = .1   @& & MathType "-@{@Times New Roman- 2 >limkk+ Times New Roman- 2 9npTimes New Roman- 2 n 2 n Symbol- 2  2 Symbol- 2 >+Times New Roman- 2 2 2 <1 Times New Roman- 2 2p 2 `2p=&pMathTypeUUd 'lim n 2n 2 n 2 +1 J & "System-\l䂴MEOW 'lim n 2n 2 n 2 +1DSET.H4lH# ,6*#   ??, HH   %$ $ * * * * * $ $ !  ࡱ> Root EntryF`5iĿOle OlePres000nEquation Native (4  .1  &@@@ & MathTypeSymbol- 2 7&MathTypeUU   & "System- <MEOW DSET.H4ld%<,6*%H H ?? HHH HHtphddttv :ࡱ> Root EntryF`5iĿOle OlePres000ZEquation Native  @    .1  @& & MathType@Symbol- 2 `7# 2 `= 2 `Times New Roman- 2 `ZSTimes New Roman- 2 `112 2 `,`&0MathTypeUU$ S=112,yJ & "System-$*䂴MEOW S=112,DSET.H4l%E,6*%U U ??TUHH UUDttdl Cࡱ> Root EntryFw=iĿOle OlePres000Equation Native  H ; J %! .1  `&  & MathTypePTimes New Roman- 2 @4r 2 @XtkSymbol- 2 @8= 2 @8=Times New Roman- 2 @f95 2 @Z59 2 @,` 2 @.`!&8MathTypeUU, r=95,t=59.J & "System-,MEOW r=95,t=59.DSET.H4l%((,0%6*%- - ??-HH --4TTTDDDDT4J & ࡱ> Root EntryFw=iĿOle OlePres000$Equation Native  4 <  .1  &` & MathType Symbol- 2 `7# 2 `=Times New Roman- 2 `ZRTimes New Roman- 2 `?&$MathTypeUU R=?J & "System-MEOW R=?DSET.H4l&(,0;6*&||- - ??-HH --4\\D4D44D$6 & ࡱ> Root EntryF@FiĿOle OlePres000(Equation Native  4 <  .1  &` & MathType Symbol- 2 `7# 2 `=Times New Roman- 2 `ZTTimes New Roman- 2 `?&(MathTypeUU T=?JJ & "System-:MEOW T=?DSET.H4l'2,B6*'bb  ??pHH -'4# 0($  ࡱ> Root EntryF`@NiĿOle OlePres000Equation Native  0   .1  @&` & MathType Times New Roman- 2 @@sSymbol- 2 @,=Times New Roman- 2 @Z?& MathTypeUU s=?J & "System-dMEOW s=?JDSET.H4l(st,H6*4 4 ??D4HH 44 00HHhhdDDDdd|t|px 8DDdddddldddD q&ࡱ> Root EntryF hWiĿOle OlePres000Equation Native  < QE .1   & | & MathType "-Zrq  Times New Roman- 2 2 2 1 2 3 2  3 Times New Roman- 2  10ppTimes New Roman- 2 .` 2 2cos 2 usinkSymbol- 2 bp 2 y pSymbol- 2 + 2 y 2 y 2 y 2   2   2   2 1 2 1 2 1 2 I  2 I  2 I Times New Roman- 2 ikE&MathTypeUUt 2.1cosp3+isinp3()() 10 & "System-*t8ႴMEOW 2.1cosp3+isinp3()() 10JDSET.H4m $C`, {6* 8Q Q8 ??D8QHH 8Q8Qtkmr}}q0<<<"6<0A"ࡱ> Root EntryF@ _iĿOle OlePres000Equation Native l R 3 .1  @ & & MathType "-tX  "-`-%fffQ`@`q`` Symbol- 2 "-{Symbol- 2 -Times New Roman- 2 /21 2 3 2 2 2 21 2 }2Times New Roman- 2 Lik3&\MathTypeUUP , - 21 3  2-21i2J & "System-*PMEOW , - 21 3  2-21i2DSET.H4m($CJ,`6* 8Q Q8 ??D8QHH 8Q8Qtkmr}}q0<<<"6<0A"ࡱ> Root EntryF1hiĿOle OlePres000Equation Native l R 3 .1  @ & & MathType "-`@`t X=  "-`=-fff`` Symbol- 2 "-{Symbol- 2 -Times New Roman- 2 /21 2 2 2 $21 2 3 2 2Times New Roman- 2 zik3&\MathTypeUUP , - 212-21i 3  2J & "System-*PDMEOW , - 212-21i 3  2lDSET.H4mD*a$,Ё6*..9x x9 ??9xHH 9x9x$$00000`^Pd`hsriqg{pp    d$$DdDDDDDDDdD$$_(ࡱ> Root EntryF1hiĿOle OlePres000Equation Native t   7 .1   &  & MathType "-& xJ  "-J  -     Symbol- 2 ; 2 - 2 ^- 2 D 2 2D 2 D 2   2 2  2  Times New Roman- 2 M1668 2 @1 2 :2 2  3 2 R 2Times New Roman- 2 ik7&dMathTypeUUX 1668-12-i 3  2() & "System-*X4ႴMEOW 1668-12-i 3  2()DSET.H4m`!5ޓ,P6*``)@ @) ??)@HH )@)@$$4(((0l044dpdtdtX $$ 3ࡱ> Root EntryF oiĿ@Ole OlePres000PEquation Native  L E  # .1  `&  & MathType "-RTimes New Roman- 2 `10 2 nf3 2 42 ` cis `k`Symbol- 2 np#&<MathTypeUU0 10 cis 3p4 & "System-*0T傴MEOW 10 cis 3p4DSET.H4m|&6*( ( ??(HH (([ILD?CF>>FIDH= $ࡱ> Root EntryF@swiĿOle OlePres000rEquation Native  @ 8  .1  &d & MathType  Symbol- 2 >-{Symbol- 2 +Times New Roman- 2 7 2 7Times New Roman- 2 ik&0MathTypeUU$ , - 7+7iJ & "System-*$lAႴMEOW , - 7+7iDSET.H4mB6* t t"P P" ??@"PHH "P"Pt|k@ࡱ> Root EntryFiĿOle OlePres000Equation Native X Wd + .1   & & MathType0 "-fJ  "-R-!XXXefJ%-R%l-tXXX Symbol- 2 >-{Symbol- 2 +Times New Roman- 2 5 2 2 2 5 2 2Times New Roman- 2 bik+&LMathTypeUU@ , - 5 2  +5i 2 LJ & "System-*< 傴MEOW , - 5 2  +5i 2 DSET.H4m#EP26* 4 40S S0 ??L0SHH 0S0SdLDxt-$D$$$$$$$D$C!ࡱ> Root EntryF  Root EntryFciĿOle OlePres000Equation Native t C  7 .1   & ` & MathType "-F* Times New Roman- 2 "10 2 P3 2 34 2  4 2 cos| 2 sin|YSymbol- 2 P^p 2 PB pSymbol- 2 + 2 P3 2 h[y 2 [y 2 D[y 2 h2 y 2 2 y 2 D2 yTimes New Roman- 2 kiY7&dMathTypeUUX 10cos3p4+isin3p4() & "System-*X(傴MEOW 10cos3p4+isin3p4()DSET.H 4m 52p?6*  "> >" ??">HH ">">?P?@R95$@84843ࡱ> Root EntryF,iĿOle OlePres000 Equation Native l  3 .1  `&  & MathType "-@@Times New Roman- 2 ^limkk+ 2 .` Times New Roman- 2 tGxbTimes New Roman- 2 x Symbol- 2 t`Symbol- 2 -WSymbol- 2 + Times New Roman- 2 t1pTimes New Roman- 2 43&\MathTypeUUP 'lim x, - 1 x+4ab. & "System-*P$GႴMEOW 'lim x, - 1 x+4ab.DSET.H!4n 0C6*   ??HHH 00#*0*'$  0  ࡱ> Root EntryF,iĿ@Ole OlePres000Equation Native ,{  .1  @&` & MathType Symbol- 2 @=Times New Roman- 2 @S3&MathTypeUU 3 & "System-*$NႴMEOW 3DSET.H"4n$!JpR6*!**=[ [= ??l=[HH =[=[*20EENKPSLnff``P:<<BD?0*"""*'"" Hࡱ> Root EntryFiĿ@Ole OlePres000&Equation Native    G .1   &1 & MathTypeSymbol-2 ,(Symbol-2 ) "-O/Times New Roman- 2 @64 Times New Roman- 2 3p 2 p6p 2 71p 2 ;1p 2 3pTimes New Roman- 2 @Ox 2 @y 2 @z`Symbol- 2 0-WTimes New Roman- 2 @m.`G&MathTypeUUx 64x 3 y 6 z , - 1 () )13 . & "System-*x4UႴMEOW 64x 3 y 6 z , - 1 () )13 .3DSET.H#4n@ !46* ..*< <* ??*<HH *<*<(((,<@@TkTT$$$H P@I@P@($ !2ࡱ> Root EntryFiĿOle OlePres000Equation Native  h E `1 .1  @& & MathType "-@Times New Roman- 2 nT64 2 3 Times New Roman- 2 4p 2 4pTimes New Roman- 2 `<xy 2 `6z`Symbol- 2 P-W1&XMathTypeUUL 643xy 4 z , - 4 & "System-*L\\ႴMEOW 643xy 4 z , - 4DSET.H$4n\!#6*!..0  0 ??0 HH 0 0 $((LLHL<@@@,*.--+ ( "!ࡱ> Root EntryFiĿOle OlePres000Equation Native  `  U1 .1   &` & MathType "-xX "-@@@LTimes New Roman- 2 T4 Times New Roman- 2 2p 2 1p 2 -3pTimes New Roman- 2 2xy 2 z1&XMathTypeUUL 4xy 2 z )13XJ & "System-*DcႴMEOW 4xy 2 z )13DSET.H%4nx 5ڪ6* "? ?" ??"?HH "?"?OP=>^\]l   }   p   c   `pw   y    #3ࡱ> Root EntryFiĿOle OlePres000Equation Native  h  `1 .1  `& ( & MathTypeP "-XldTimes New Roman- 2 464 Times New Roman- 2 4?2p 2 4 1p 2 43pTimes New Roman- 2 xy 2 z`Symbol- 2 -W1&XMathTypeUUL 64xy 2 z ), - 13J & "System-*LjႴMEOW 64xy 2 z ), - 13DSET.H&4n#*Ĭ6*00 00 ??00HH 0000$,$(PPLplh    dX``P$$$0( ($( $(!ࡱ> Root EntryF_iĿOle OlePres000Equation Native  \  G1 .1   & & MathType "-@@@Times New Roman- 2 T64 2 3 Times New Roman- 2 3p 2 6pTimes New Roman- 2 x 2 Ny 2 z1&XMathTypeUUL 64x 3 y 6 3zJ & "System-*@qႴMEOW 64x 3 y 6 3zDSET.H'4n!6*!  ??HH $(L\8\|Dth\T%ࡱ> Root EntryF`iĿ@Ole OlePres0004Equation Native  n Y .1  `&` & MathType` "-@@@@Y @  Times New Roman- 2 Y2p 2 `3p 2 3p 2 3p 2 3p 2 y 3p 2 r 4p 2 4p 2 3pTimes New Roman- 2 10 2 logk 2 logk 2  logk 2 .`Times New Roman- 2 x 2 [ ySymbol- 2 - 2  -Y&MathTypeUU  23 log 3 x 3 -log 3  34 y 4 -log 3 10. & "System-*ߜH傴MEOW  23 log 3 x 3 -log 3  34 y 4 -log 3 10.DSET.H(4n!%5X6*! 0? ?0 ??0?HH 0?0? $<$8((($,DD4PPP\T\ZLLd`H\\\\LH@4 &3#ࡱ> Root EntryF`iĿOle OlePres000Equation Native l  r3 .1  ``&  & MathType "-@@Times New Roman- 2 4logk Times New Roman- 2 03p 2 2p 2 n4pTimes New Roman- 2 w3 2  40Times New Roman- 2 =x 2 y3&\MathTypeUUP log 3 3x 2 40y 4 & "System-*Pp傴MEOW log 3 3x 2 40y 4DSET.H)4n%5"6* 0? ?0 ??0?HH 0?0?(444PPP\T\ZLLdl@PLPLLHP4 '3#ࡱ> Root EntryF(iĿOle OlePres000 Equation Native l  i3 .1  ``&  & MathType "-@@Times New Roman- 2 4logk Times New Roman- 2 03p 2 3p 2 n4pTimes New Roman- 2  20Times New Roman- 2 x 2 y3&\MathTypeUUP log 3 x 3 20y 4 & "System-*P傴MEOW log 3 x 3 20y 4 DSET.H*4o!%4"p6*! 0> >0 ??0>HH 0>0> $<$8($$$,TD4PPP\T\ZLLdX4D@@<<884 (2#ࡱ> Root EntryF@PiĿOle OlePres000Equation Native l  r3 .1  `@& & MathType "-@@Times New Roman- 2 4logk Times New Roman- 2 03p 2 2p 2 J4pTimes New Roman- 2 Y2 2 15Times New Roman- 2 7x 2 y3&\MathTypeUUP log 3 2x 2 15y 4 & "System-*P%傴MEOW log 3 2x 2 15y 4DSET.H+.Lc" 6*({ {( ??({HH ({({BD`t         V<@")aࡱ> Root EntryF`iĿ@Ole OlePres000.Equation Native  ]  I .1   & e & MathType "-l@lll9Symbol-2 p(Symbol-2 k ) Times New Roman- 2 HY2p 2 8`3p 2 3p 2 "3p 2 H3p 2 84p 2 "B4pTimes New Roman- 2  10 2 logbTimes New Roman- 2 x 2 ySymbol- 2 - 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