ca) = c,l=alaf,. - mathematicsraw/courses/math427/homework/...d) f,a ^d'+t i rpa = (d'...
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![Page 1: ca) = C,l=alaf,. - Mathematicsraw/courses/math427/homework/...d) f,a ^d'+T i rpa = (d' ,24(r) p yrttli > iLx+vS = (a '+ ftn') vr*vr. t'i)Xnur * n" = 0 + f,r t) {zv1T u:-\ d,+rti *](https://reader033.vdocument.in/reader033/viewer/2022050405/5f826c17212c7e30d0253b35/html5/thumbnails/1.jpg)
Exe'rav o.
0,5 . Sohwort ,
ca) = C,"l=alaf,.V$fx> 4@Qr(2q,, -20(2
H l/= 0@(fr,l\)
fut V) = h,tfrt'-uorit= q?Ai t:xtr - 2&J7+,tr:€= (,x) + vf,*l'f + n:8 .
So (r*l is n6 hnte4.
Cbr {cx) = 'dr -fi>
rfm =f,t, -t)
J c+tr1 = (zk,+D - (rI,+6;=
fr*) +vfcx; 17.sa. ftx) )s cowax , bu$ rffiMq C,wea.
cc) .ftx) = xitrt' *)8t
Vftx\= (ze,-2 r 2^)
Jcxt4 = r***i*arn,tyi-- zu,w)= tX3l,X,,t;+6? qi+ltxrr/|+i* XX,-M
= fr"l *fixS.vt n"t,A"
eff )tp-ffi -q-ilWn,-1.+.@tr{Dffi -A4M.
se. (rn ,! silW hnox.
- r l - -
![Page 2: ca) = C,l=alaf,. - Mathematicsraw/courses/math427/homework/...d) f,a ^d'+T i rpa = (d' ,24(r) p yrttli > iLx+vS = (a '+ ftn') vr*vr. t'i)Xnur * n" = 0 + f,r t) {zv1T u:-\ d,+rti *](https://reader033.vdocument.in/reader033/viewer/2022050405/5f826c17212c7e30d0253b35/html5/thumbnails/2.jpg)
d) f,a ^d'+T i
rpa = (d' ,24(r)p yrttli >
iLx+vS = (a '+ ftn')vr*vr.
t'i)Xnur * n"= 0 + f,r t) {zv1T u:-
\ d,+rti * i.;.'.1/r n )1,r/z + e*'(ov'- *.Vt) +Gt-
Cana&+ f-rrce* , # q7, d'*t *tn v,e &
fra) =o.
f'*, = s*-t ,,d.* vi >t 6ttu,l >o
vr o { ,U1.sso {cw zo.
so fcr*r; - f") n vfx) .v + d k) -1-v1)+€
e {Cx)+ #cxl /
, 1;'E;-; "FSe ft8)
h sv+"t'lg 6n4ex'
Qut f,*l= {1r{[
qf-) =(ru,*)-frx+r; = yrrrtx,){otzttt)
= rfi$..*$fl,u+ Efit +v&
- fctl + VF\V +vir4.
So. f,x) is nat h,4ipx.
![Page 3: ca) = C,l=alaf,. - Mathematicsraw/courses/math427/homework/...d) f,a ^d'+T i rpa = (d' ,24(r) p yrttli > iLx+vS = (a '+ ftn') vr*vr. t'i)Xnur * n" = 0 + f,r t) {zv1T u:-\ d,+rti *](https://reader033.vdocument.in/reader033/viewer/2022050405/5f826c17212c7e30d0253b35/html5/thumbnails/3.jpg)
$ {,t)= q?tn,
vt'xt g*i,tS
Jtx+v1= (xftvtf + (art6)
= ryl iffitt; + ) nf* rdr nc, +G'= xi*{, o iliv,+G * n6:+d=
t "l + {cxl-V + w'?,x, tgSo (tUS i> wt hnaerX.
t fti Jtt = rxf
,zftD =(44),,o)
ftx+t4 = a, Ur,+nf=- xra+4rriv,+ lrl,�ln'1 4/x,r/it+tf,= r/+ 4Qv, + >xiyit v,'f y,'+ +r,nt$)=
f*, + vfxs'v + >f,v,'+ t/,"(v,*>n)u= fx t +vfut v
f l � i - -
E e P i s b * e J x , b d M r y h r w xr'nt {,")--
Anll";fttr)
rpt9 = (hstmt+il)r asta,+ug)
-{rfX+U) -- Sin[ xtdt a>+r]t)f *
= Snfrf,+L) +ghft'+tu, +il>+U/ *aWn+A)
= ,5ingp,a4"7 n zaufto,+\b) +ry/ s;n n{'
::#p,:;#:;::'r7,#;w+ >intrf,+*,)
[* tw*,t S *1 I hskxr+lr)( t/r+t/.)
s {,"1 * \2frx)v + 6\r6y,1v,4+ry-) - eart,*4) - ,.acm+*-;c,t,+y'-)3 ------_ & #ry te nnt (bnrex ,
![Page 4: ca) = C,l=alaf,. - Mathematicsraw/courses/math427/homework/...d) f,a ^d'+T i rpa = (d' ,24(r) p yrttli > iLx+vS = (a '+ ftn') vr*vr. t'i)Xnur * n" = 0 + f,r t) {zv1T u:-\ d,+rti *](https://reader033.vdocument.in/reader033/viewer/2022050405/5f826c17212c7e30d0253b35/html5/thumbnails/4.jpg)
r.t) {tx)= xi:atx.+fr;
qfx) = (>tx,-)frt ,il>-2kr)
{r"oul = fa,+rriJr [+,+trtyn +b) +tryr+wfE Xi+>l<,vi*,1'-2xrx: - 2fr,8^>orrfi *>t,W *+!+>rp1;tv;-
= xi-:x' rrtai 1 [21Xr'>4,)fr + (242-)x,)G +n' ->vn +rt= (ul * rzfcr) .v + ruinf
V) W f, a"o{ {. }r- &n've'X'f^*"^t-
.i (,cxS z (cz'l * u{,txa tx->) ' ' ' v)
f,.; ) : +e) * {'B) a-t")'' *rtu' & e D
=r ,f +fl6) =,f,*flrxa + vrf +{'; (2) (x-x')-B)v B ,teq).
go d-(' b @b{t4
VAF,D. . ffip {'& f' a'z' ebf*/ hr4/zr(.
= -fx) +v{txIv.
9 fCCBl b Coruea ,\a,,fr ,bot sa+>ttV hnrc:71 .
d I .fca - Arxt+bfv-+ c-
Wtl = (a, b)
dx*) = Aln,tn| +Ad>+tD) + c
= d&tbrtr+c + a,t,+ b',r,n / r= .Jix) + vfW'V.
& fUS is h*rax , W "'a- *txfu' 6wz* '
0 . 6 . @ ,
- 4*--
![Page 5: ca) = C,l=alaf,. - Mathematicsraw/courses/math427/homework/...d) f,a ^d'+T i rpa = (d' ,24(r) p yrttli > iLx+vS = (a '+ ftn') vr*vr. t'i)Xnur * n" = 0 + f,r t) {zv1T u:-\ d,+rti *](https://reader033.vdocument.in/reader033/viewer/2022050405/5f826c17212c7e30d0253b35/html5/thumbnails/5.jpg)
,.f, .,.r,1t;, c,r.V> I,,ul4 dd dW \fft-*
at L*ds W*tV ;f] x*"P|flr
h^ilr4ls in'+*tt # a
ilr""- fu *,& 6"f-
cbt. &htew> : W $ U W, C- t"- i,"*rt+r*ty h74,t?24.
Czt*, . v&eD.
G) + (feo$*rA-x")) + tf,6tr-vf,c*r .*-*2 W.- -e)
Uk^- X +Xo
tf, rxl - tf cad[x-8' )) >o.
{r,*> - vf"{x'X:-st >o.
= ) @ ) > o .
Cc) a*^ewz, E',' 'fix) r {or * Ca,1.(x-x"S
6Ad-'; c7o s" e.ftz> = of*rl+cvfa')e=x,Wk^. I * Xa
rfr*) >fx'l + qfx"l B-Ea)
+ c-fo ) >. cfx-l a 6vfix"2 e-e)
* 4 ]s svtrtt1 tuu/t-x.
cils 'fcxt " h,J,, ttg)'xtx:-
d*l -fttx:= h,ax'" ie rffi fury-
iI
II
IIIII
IIIIIIIIIIII
frrW hr"uollv # i
I
IIl
lI
,st ()s hatls "f'"iV f/ x'& .
Ev . ,Su*r ,f e kn//ex {""rfir* e a sV}aty aw,x rf"'^a"'- is
- g -
![Page 6: ca) = C,l=alaf,. - Mathematicsraw/courses/math427/homework/...d) f,a ^d'+T i rpa = (d' ,24(r) p yrttli > iLx+vS = (a '+ ftn') vr*vr. t'i)Xnur * n" = 0 + f,r t) {zv1T u:-\ d,+rti *](https://reader033.vdocument.in/reader033/viewer/2022050405/5f826c17212c7e30d0253b35/html5/thumbnails/6.jpg)
ql rT . ',' ftox r u^t)x,) . t{u, + u^uf B")
e"d,'; $rX+ 6t18u)-- f*, tt vftx"S'Cx-x") +tlx-nl3kX-tx,)
JlD
e
,q f''.' t' e > f..r>,;t* ?Fr (x*"7 tx,s-,&. !'* f. =Xo, Xo: = E 16 [= t X + 7-b)Xo t6to, ,)
' , to,S > Jrf"l +vftyS. tx,-y) a )
ftle, fi=) > fcy) + vf,D .LX*y)
= frfs - ry vf rD.ty-y) gst'{cx1 >- tltv)- ci- t) qw B, ,g
qrz;,'fuo zQ-t(ty) + (rat,ftn B"_y)
#
-fcx")+ *nfia1x*x) +ttx-x.l3ttx^txl A ffx> -r-Cr- tt-fx,;
+fe> > t{x.s + *fiHcx-F,) + t lx-E t)ftx-t&) Ee(", D.
(*, = (ur* vftx")(x-x4 + lx-,r,1)(tx-*,1 ct)
{ar zco;, fuilDre.90 fu*, 16 t ?f*e zre-
+ t'r,, z F,) n oF") . (x*x,)
A ) >(>J =>
+ 6
![Page 7: ca) = C,l=alaf,. - Mathematicsraw/courses/math427/homework/...d) f,a ^d'+T i rpa = (d' ,24(r) p yrttli > iLx+vS = (a '+ ftn') vr*vr. t'i)Xnur * n" = 0 + f,r t) {zv1T u:-\ d,+rti *](https://reader033.vdocument.in/reader033/viewer/2022050405/5f826c17212c7e30d0253b35/html5/thumbnails/7.jpg)
0,9.ry,;t
iq rb hwex,irf U=X^X"
u& tt8
f m*n/)) {wt 1dtx"1'Du
w {n,l=.{c*tttll--$' n .,rL)* {cv *ftx-*ll 1n{.|orrl "t'
{rtt = Jlxtl
>fcx"ntr) = tu+ * of*,tt'l) :t t j # *n ts,)'tl;tj''T'
, + {/-^, e")Hoy'f'= (tx,*w -ffrxUtyftxt -,t+) >0-' / 2 . I j :
J ' ' . J ' \ J
:) *,d*, B,)tr;y zsi f : t '
ont# tC , . r' ,t erB-) r,t; Y z0 .
L"n &,= fx f iu ) a t
,.tfu d^aptp* ( txottul = ,{ea . 1,.,)'il't u} #"(*ytx"+rou)u'uit'
I*n trt , 4trl . (tx") nv'fe")'u . i{,,d,y (x*Frr) tt'�F -
'' . Jtxl ̂ {s,t -ofms B-x') = } frrfi,rcerqu,y "o .
"' , ltzt,I*, "vfs"tE-e)
-*/-