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