-4- Li)thwaits.weebly.com/uploads/2/5/7/5/25757587/final... · I. a) -L1 = -23-43o(r7-0 -23t 300...

22
I. a) -L 1 = -23-43o(r7-0 - 23t 300 -1) = -2 -4- 3o( co ) L i) = 300 -2.34 - 5s .+ sof) 151 cx4d (6 - 0 ‘D) ci= - 3 -t- 2.5x 53-2(n p \sck_uz-A --P15 = 53 --ci - sn = a + d(1-0 = 4- 2** ri -1) 3‘' -211 202 = 2 , A. n-r) 2.cx = 1 17 2 ii - 1 --- oil 2'4= D -I- 3(n -1) 24= 3(r)-I) = -t =9 9 2 Col ) Co -) 2 r73.4 '19 (c, ?,5 ' 8 ) 92 ) ) b) a =9,2 d- = t o = 9,?,-1,6(n-C) t o -, 93 - 1.611 1,(0 11.4 - 5, a = '7% et 2.LF 72 -1- 11(24) = '7Z + 264 =3'+2- = = 4 + r1(I -1 - 1) 14 7(13) 4+9 Gb) 1- 6104-0 S ly.= -(2-903) 2. ---- - 7C - 93) - I b‘c = - (0C 1 -L, = ai-c( GI -0 S 26 -2c.(4.2.+34.,(,)) 2 3O, 1, (001-1 1°(3$. Z ) 11) - 1 = 32g zo

Transcript of -4- Li)thwaits.weebly.com/uploads/2/5/7/5/25757587/final... · I. a) -L1 = -23-43o(r7-0 -23t 300...

  • I. a) -L 1 = -23-43o(r7-0

    -23t 300 -1)

    = -2 -4- 3o( co)

    L i) = 300

    -2.34 - 5s .+ sof)

    151

    cx4d (6 -0 ‘D) ci= - 3-t- 2.5x

    53-2(n p \sck_uz-A --P15 = 53 --ci-sn = a + d(1-0

    = 4- 2** ri -1) 3‘' -211 202 = 2 , A. n-r)

    2.cx = 1 17

    2 ii - 1

    ---

    oil 2'4= D -I- 3(n -1)

    24= 3(r)-I) • = -t

    • =9

    9 2

    Col )

    Co -) 2 r73.4 '19 (c, ?,5 ' 8 ) 92 ) )

    b) a =9,2 d- =

    to = 9,?,-1,6(n-C)

    t o -, 93 - 1.611 1,(0

    11.4 -

    5, a = '7% et 2.LF 72 -1- 11(24) = '7Z + 264 =3'+2-

    =

    = 4 + r1(I -1 - 1) 14 7(13)

    4+9 ►

    Gb) 1- 6104-0 S ly.=

    -(2-903) 2 .

    ---- - 7C- 93)

    - I b‘c = - (0C 1

    -L, = ai-c( GI -0 S26 -2c.(4.2.+34.,(,)) 2

    3O, 1, (001-1 1°(3$. Z)

    11) - 1 = 32g zo

  • L y.,=a-k-ci(n-t) = 12 (4 - -5D = -36)-0

    = = 9 s(--,H ,) = k = - 43-1

    = (9.

    83s,5 n_c2 + tzl) = (12_9)

    = lain

    = 13

    Sob tatorem(vIect = S3 = (3e9S-4 >

    Monej ea, Ked = S iz = 2 (50+ -L.,)

    '(0(504-16()) (02 to)

    laGo ok c,o+ -70 -riso + 90 160 1,2Go

    a:ADA _eattAs

    4-2S-4 a c

    t iz = so + 10(12.-i) =So 4- I lo

    (.1(0 = 0,Z 20

    17S

    r 2 = 1 -7C ( 2_ z_ 25

    11, Y

    ((yok-,:r\a, ci. 44̀ 1e rrrt, L.1 s 145vds 4 +tout_ afier

    3

    = 40(2)°-‘

    40(2)1 =

    skgril 41' 1-0(as-0 cS.4t( 3 anto.t4

    V•s(t = I /tip

    ae 0

    4 9 12-

    ) )--- is— ir 21 ay

    561\4 vaLt9._

  • (s" •

    =

    °)L g • g ' 9-) =

    =

    — k °415

    --ht2 o - (11A% )(b L' = 9S

    L' 0 - W— = (0 Si _5 (su -) -1

    LS = °()S

    L 8 ' I -

    ( eizi.0Q . 0--)obz= OhZ _5` 0- = ',1-7 1

    01)-6- _SZ, Eb' -7--

    I -_S ' - 04)2- - (SC 22 1.2)(s o -) = 83

    • s9. gp 4- ( sp zf 1°P 4- +, (t.

    _s s _5‘ g — 0)-11

    C2Z) = 75T:r - CLIO 1 7: 3 1 9 e7E

    - 02 L

    I - 7.::_02 • ) ̀)S

    S

    S '/-

    1'9 - i

    114 >1 17 = - ( 10(,1) 1° I = gS

  • rd.- z 4? ° rek- z, 23°

    21 .

    19, c) cos 0 = b)

    C os

    1

    242° Af 91 CO

    (A 2. = 2'12 - I to 2 (eCZ - 0

    4an c,05 30 ° 2__

    s.th Lt

    Si-

    Ta. 6

    5' el

    2e's a) CDs 210°, --,11 10) s_in 31S° OD cos ICO a - 2_ ‘1":2- - ► 2

    c.) -Ian I3S. = I =-I

    • ) = 1_ 4c„A 300° .ti

    7 2-4- 2,1=c"- L(1-e- =

    d Z (.2C

    c = 2s-

    Cc51:3 = - 2 ilif)

    ) If X 37 2

    X 7-= 3S-

    Sines = ca ist) 2s-

    cos6- = iNje

    irAn&- .2.ga aolj -7 "7

    rudio 3-7

    -766 _ad; 3S: -= Ilya -1?

  • 4. 12b -30 = ISO"' = 3too-fib =3306

    b) 617)6 =0

    5,

    c) cos = re-C red L = cosYo.$). 40,0°

    Con. Is Lv_

    s". 7 °

    = - coo - -a.A3c.°

    24, a) 75.73 = f 80 - '7g. 73 - Gs- .

    Sitar 0(

    dine Lao) (0.08(5rnb) (s-. G3-"Xsit-og./3)

    bs. 5_inlrs-12)

    35'7

    Zb. , ,s(1- '(0.9/i3c17) = 6c.

    -5if) 7F(. 7 3

    6. or

    c ( 5 07 g.73) (6,02 Y5;n 3S. 5 --))

    - C6.0?)(sio 3S7 S-7) (sirOg, )

    • C2-= If 24{2 ■ 2012, 2) Ca 9. 14.

    c?"- Ho -4- L V //, Lt5

    9.38 : 4 = 5,,,0 471,4

    3. 06 2

    A , 3„ob

    4i/1 461 ,

    L4 = s;(i-Yo.v/1.) 33.1 a)

    C .= 3. (r))

    ran Gas eas+4oe.. pas :Awe III

    r-ef

    -.A) -61 Is ney.

    • errs:114e

    re:( = = 3cf

  • Lg= IW - - = 1 ° • B 31=.

    B(sul3s45 3b(sirlc16, 6) svott°

    • 0 •

    27. v(-5) -I) r tvt O. 27(0 -t 4.0,S : X = -5

    x-ity+: 0. -0,2S(x+s-) 1-- 1

    I -= 2s-(xts- 2 -I:27f 4tAk

    pcs5bk. ;„. opens down

    no

    -x&R

    rmx v2ive. is —I whey) x = -ST

    • = -a, 2. -(2s-‘) - I = -7, 25

    cljt_ck, 65‘,-NA < a < --h-Qin 2 A,'s 4251n3431.442.

    2s--,01 4 -3(,442. ,:41rviz so 2 4's .

    Sin C. s in 3g 42., 3‘'

    42.(_SA 34,

    6AC:., 0:7'23

    si (1-1(9.-1 4S-.9 °

    )16

    E= 5i.i cft,

    120 - 4 c- 13,1 °

    Z = I - - °= 7, 1' so 7,9 5(138 °

    8

    660 36(sin 1)

    e = 31, (.5t) 1.9) sin 3%

    o cm

    2s; o.) p ete_creci4e8. nlov.e 5 ,5 corneit.ss;cy, 6,j Cuktr

    cf. inc-recese.a by 4 s 4 (A40 durcaAgct 61 9 down 9 • ct) I

    v(-3,0 Cc= (

    OFenS Lke

    304 re/1

    - 2.0( -4-102-+ 3

    v(-4) 3) 0,.=

    opens clown ) \kyir. evfens.dr.

    9raeh 4- 9-

    q = 1(x-z.) 2 - 2 , 2.1 ) a =

    opens (.4) ) tier c ►pmsier,

    9Y‘tir'

  • 2,c-) 2 1- 20

    -fr 2o

    - 4 (x 11- .2., (p,2S) 23

    --if(X 24 sx -÷(..2s--)+20

    20 — ZO

    — 41(-1-2,Cox —

    Zo v(-2,c; 20)

    kik bed et-I-vey-1ex Qt-ftx

    +6 a/Y.4'f We

    • 1 el. )( 3

    A. v ( -3) - s--) and CI ) 2o , Wield '61"

    y-acx-pY-4- 01, ur- g.5- (x+3)2 C 'J I Co

    20= a( 1+ -,y-- 5- 20 - a_ 0+) 2 - c

    ILAT 423 cenv_vvAzair ca slc,y,dar

    cvfj

    -4x2- 20x-- 5 1‘ 1_ o-vicxceto-r

    TO F Aa vex-tcx

    P = .212 -

    zo- -

    • r t3h4 ) 20 40 ,0r\ (-34-1 ) 30 -

    ) k))

    -0.5),a43x - 4-

    j - s-(x2--4,x -

    -0.5( x-3)'--fros c

    b) y= (ox-t-214, K +)7 -f- 4 ) 7

    V-T 4(x+ 2 ) 2'7

  • -442.i11 Vo is

    x = ora, nuotber

    Y - (0 :7 (Atte" flu.nittaer

    t5s ‘,01.Q.n 'X=3.

    v1u.v4e,rS arse-

    3 anal - 3,

    ofou,s

    C,

    \• X =3 - 3-6 -3

    -3

    -i-keye shook be

    3 = K(44)—)c) -Vox 4— comer+ -lb kie4A

    'Vox -car fY1

    (x2 Lflox 4_1=‘) ±529

    d= -(x-23Y- ÷ 521

    Fak4uAc, 4L oipcns down

    silAes max vectue, Is 5Q9 (Auvet

    numis.efs ofe- 23 caNa. 4L-23- 23,

    32, a) Lei- X.= eine nculiher % = osier n

    v 5,9-cat)

    -x - 23, TL2..

    i ► ccemoes m price, Revenues = (C)3S 04' vt-144(numacy

    e = 432. 24 .x y c.

    L.x *2+32 (x'-tLx +9 ) +9 +q-32

    - (_x -t3)2- 41-1.1 v(-- ) 4-41)

    opm ctowei /1"-

    3 dr_creze5. pice, Opkitylai evict, -lb maximize_ few

    is t2 - 3(0,5))=12-1,C0.* 0

  • 33. 0 = x 2 + (,) x - 2, Gwcy011 01)8, deb on me.

    1.4"45

    oVe ✓

    y(-3,- g

    ri 9

    13 IS

    ovel

    LcA- x u,i841

    2oo- 3x = (000- 1,5x = lenA-4\

    A(Ca. = (m-c.A-4\ )0e

    A = x (Coco - t = Coo0x - ,5x

    a= 44,0o x Pr = -- 1.5(X 5-- 4W x +10 000) + (00 GPO Pc- = - 1.5 ( X - 200)2- 4 (00 000

    v(2-' (Do 000)

    14.s_ AVX ate.. ks GO coO 4 2, When 20& `I wick 2o0 ct.

    kra)-k= 1200- 4o1 = 30o 2_

    -k-1/14.excte-Vs. Coner-k- to vex kcx Ancraf iA,

    4x1 - %I = (2x +9 (2k. -9

    b) 5x.1 = 5(25- x2-) = 5(5 rt x)(.5 —x

    c) Cf C3N - )(3x 2) = (Sx - 2Y- c ) 3x 2_ 1-71( "1" 5-.4 z (3X .Y)C

    • 5@t. 3) 2-1- ((i-3) - cac,-1-zw (c), sx43s\i-kkoevi 14 (41.00-3) •=' M -22_

    (51.4 11)04 - 2 4- Sub, ILI= ()c- 6sic 5(( -6)4 \ I) CCK-t) = (5?k tt)( t3-2.) z- (5x 20(x41)

  • X2+(ox- tic) =Cx +(Z. )0( -2

    x 2

    3(c)x'- -1 1-0-1- = 0 34(x 2"-14) =

    St, x tp--)6( -2) =0

    k= -2 X=2,

    ))( 2 - lc =0

    (2x +3)(3x- 5 ) =O.

    -3_ x= 2_, 3

    35, a) x2 --'zzx-k- 15=o (x -5)0( - 3

    X=5 ic-=

    d) 41)( 2 -gx 4x(x-

    x=0 x = 2-

    3(0. a) 4x 2-t- 4 x - 5

    =-4 6=4 c =-S

    -4:F30+f:4( 4Y-5) 2(

    .11(0-1-%o

    = -4 ± J910 2.

    2.

    Nahct oc 442., rook

    6) X( x-2) - 1-

    2.x. -4 0

    I b. -2 = -4

    NO41),(4, or- ci-UL (004

    e cliscriac,ryx+ -Fells us koto ntanj rooh (x-- -‘4(ce404.%) rocktabo\ck mss.

    IP 132- 4ac >0 -> 2 caferext rO3A-5

    b1 4ac = 0 I coc.+

    4a,c < o yo rem( V

    1,214 -ac. 4(4)(-5)

    = A-%o

    - 5;ncie, 9(>o ) -14,eve, aft- 2. real (oak 3 0c

    2 x-inAccce..44%

    - (-4 ±.1(-2.)1 46)( --4+) aCn

    )(= 2 "1- .14 4 (6 2_

    ±

    IBS 2_

    weA-14(c. 43 (oak

    irtc- C-2)2- 4((X-4) 4 -019 •

    - 2o 4- 20>

    2 fec.s, (ocim

  • X-4-3

    • 37.a)

    wica = 44- 3 -=- 1

    -x -+ -)c - 2o

    ot=2 b=o

    Nai-to-c. A.

    4(sa_--3)

    2 trod fooAs

    = - 0 ± 4()(_-__3\ 2(?,)

    Lei x =c nk.."6,2)(

    x ?--- 4x =

    - 2A --=- 0

    -1)(c

    - 3

    i`,-rv2X Q r

    G) Lt.+ x = +4„,_ v l_xn..t>s_. +f-

    X2

    "- -X = 2-0

    (X - )(x +- )

    x-4 X

    F x = 41.4 -

    • ,124 x

    (L, -

  • .154 = .1 (1-6 3417

    b) 4TO = = 4 S5 c-) Tit; - - 2 31-27_

    44) 11.0(z = 3\12-7.9 = 33W

    (---emcrccr.A Satuare Ourik6ss 4,c1 ) 00 ) 25,

    2 '1 ) (04 ) 1 25; „

    4°• 00 2S5 = ,i727%

    b) 5\7 = 3 , 3 = .) (19

    At, a) 2 . ir- c.co'4- be cilkicket4 ) coletvoLte 4L/ gevkor&v\r-Lfc r 4-S

    i3) Si-

    c) - q 3 24v-8- 29. 2 bJ

    42, a) 2 S3

    b)(91-2 -4ata .3a

    .4\rr,-+ 25 4- kArie, ractccois ) Can (*NOV Corit6qe, al\ Qvi-fiter \Rs 41:2 e) ;To f 3J54

    =1252 -25i = 2 \a = 2,25:4- 91-2-

    ck) (\)3 = \1TE

    (17. -F2..)(\1-41) = 3± FE4 2Z t2 = 5 +- 3.1 .

    c-) ( 24 +Z)(1-- ,T) = 16-5 = 4- AllcSe ace CO A:ykTICS Sg_1(yte, Act tas )

    M iddle s\ottl (rYi -cans cocci IA •

    when Fo

  • z- )0(A,--x) oz.- x-zx

    4, +7.X --YY1-0 P;I) )4?-) OT "DZ. XND-1.11

    x6 ()9 °)17

    orov 1,o00110 \ TO f-or 071

    )1/4kSd) oU

    • wox\--n\ps o\h -D-C\ vcr) ---)X0Wrs

    fbAtik- LtA C'S 'DD LQU PrMA 110k

    -wm-\ps ou

    fi -

    C 6- 6- +'`')E-

    ."6

    - xg = 14.)(

    --(t÷xE (p ( 6= -2LI\ ("3

    "APTIQS 0

    g‘Q1 \ T. 7

    =

    c)) =

    - )( r

    gyF• (7— 4k-o)tpuk-P■ (z4-2) • n)

    1—

    -S_ -

    g S_1\ Q911,/-7 •

  • c) 49, a.) 4a _ a_ 9 4 .

    ri? 1 8

    -= 5a- ( 2

    X -t- a_ _2

    = x -3 _ 2x --x, x

    = )t.. --- Zx + 3 x

  • cl). 30- (A -9-)(Q -1 )

    L) 2 4 4( x+1) 2Cx-

    2 (X 4-0(14) 4 (xi-0(y

    = 2c-Co 4( \< 1)(.x-3)

    • 3

    (x-ItYx- S) (x - 5)0(-5

    20( -5) - 3(x -10 (x-iiy_x -3)(x-5)

    -10 -3x4-1 - ( X — 9-XX — 5) (X —5')

    Lx-1-0(x-5Yx -5)

    2 - x (x -`+)(k

    I2- 12_ a) -4- Li- x =

    4

    30( 4-0 + 3x-1 -2_4- 4-y

    rix =12

    2x (xi)

    b) 3 2x

    2x 0(.4-

    3 Oct - 2x (22c) = -1-x (xti) 3 x -)3 - 4x

    -3

    = 3 1

    -2x (xt 1)

    ff'S-;-x c5\-N'co•

    0) - 1

    'x- 2 = )(-- re4Y Aim\ ‘• x43

    x -3 3 -x

    - _ - (3-') (3 (3--)0,---

    --7K)

    "-x+ 2. _5-c_, c3 _,(3

    "X(3 - x) -1- 2 = ■ 3x- -x.2 +2_ =

    = - CD C)( —3)(x ±

    X - 1 •

  • (m+i)(n1 ()

    (e 51-e- -clea. vafamo, m ±1

    Corn oyo,i)

    638) _ -5 ► ) (111.4-i)(fv1-0

    2%11(01-0 - (,a\ -5) 2nn - -4 5

    (61t 0011- I)

    )01\

    = - (,3)21- 4( t)( 6) -2.c

    SAA\VIA

    (x-0(x-2-) resAY- acc( vaLts

    L o) f -2( - one *- -x+ 5 - o4421" tI larTr)

    iA(X 4s)r 7 = --71 1/thef-S)

    ) / I

    -X Xt5 J

    i Lf(Xi-Si— 14X = 5X6 -f- S—)

    = 5x 1-4 25—X

    O = 5x'-fr 25x - '70 -

    0= 5(x - ( x \

    X#0) -5

    -= 3 d-d:1 no

    (X--6Y )c -2) 2

    x )(x )'1 (X -2) (?—G) a) +-

    -= x (x-0 + (x-2)

    = x 2-fix x -2 6 = 5 -K - 6 0 ( x )(X +

  • 2-1

    1 20 4_3_C..)0 9 2x

    2)( ,

    FroIt X .ifirtt Ok(Wej 1TAL

    ett4-167,1-0- Ibion

    Tr)

    4 to ins+ carreflf

    5 1-ream - -2 45

    4s- downSkreallit X1-2- • 9-5

    4- sub (6 ) 4-)

    -X 2-1 x +4 - I 1+

    x 2---3x or >

    prp 0 0 0

    i° +- _L

    12- 15

    l5 .)( -+ (2Y =

    21x = I%o

    Sirs

    240 + Soo = IcZx

    51-0

    7rne. sA\tric 414.c. 12 I S

    Ifs

    X = 30

    CX-2Y)(12.1 (X2X)c-4-2)

    4 5 45 X ±2 0_(-2) Oc 4. 2)

    .45(0- 2) 4- 40(--2) = (K -2)6( +

    5y t90 4 45x-50 =

    90X = I4-x2 -5(0

    I qx2- -90 K -5b

    2 ( X - 24-5x - 2)

    0 = 2 (lx -+ )(x -

    b = s m=-2 -

    - )

    x>4 r).,Q Ns i6

    C■ f) ck e

  • 5- g S )5 I

    7,1 o- II

    5 }

    .-v

  • nok = - 5 2.(3)

    = 202- 4(t) -

    -g 3 0. =

    3

    I1-L 0, c rcp)-) s

    55, o) -3x410

    20x s)2 7 v(c.)

    11\ S a pi 0 Cc.-Q_ cur, ci.); Gyk

    cs) .b.,240( cNCJY\ (S) 3

    2) Qya0 J = X4-3 3) btiow,.) sof■ a...sra,p6f-1 doAcct 1'01..ils 4 6.6

    Steckh fect psiocA.Q "°Vallke pl 04 vwcr-v c 0-414

    eat t-VV'S

    1.) no fes4( cckc, vaiufS Ve,Cc(1_0 asr,f

    V(0 1 3) GL..= arc = .01 2-+

    3) Drew c_S Tr‘. eVrik

    ReCI pi0Ca12- 3 is

    See. answec kci3 Ev c acciADA\-

    2x,-5

    4- -5 ca" ue-)4 -k -6 ve,■4 Q, 04 caNcielv -44 clua

  • ‘17.61) '4X-3

    3X 2± L7L,( qx-3 = 3/c24- 4.ix /

    3x2 -1-

    X= -O - 0 -± ,ie---4(3)04) 213)

    • -±.1-Lf8 no sol' a'r

    .6) d , xfI

    57, a.) < 3x- 2

    3 mph y = 3K-2. ut,1/4 b= -2 rn. 3

    -Fesi CO) 0)

    0 , t

    or

    -2 ■4 4 - cfk t 5 2 -

    2 Y. -

    10= -2,S m= 2- t

    X-c rvir; 0 = -

    -=

    • o>2(0.)-a.s-0 >-.A„1-

  • 5 X -

    -erriNAc

    csz90. - x)4,

    (9

  • ";

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