34
ew Mafwwhzs C2-\cv\\¢~\S~ C\fW3QtPY 07" ‘f'§§~»®K2 F M@fQ;i“;§A5,f;<;;;;;f;§ £“af“S `”' gig ex-; ~;.a (m~.;M1>M.,,> _Q g, ». ' L »\z~x;,\1~*fW Q\,Mah__ ‘¥§°\x>\u>¢L»<*;_¢.;.Q.,¢u_...J£.~;1<' §'<\» = 1% f,<»\~\~> -gww »\-bo M p»~~;.L¢_a .wt Jawa- e_»\m - on “omg Q,°__-,jf ¢,_,.Lu_ e_>/»L.s¥- <-~“5 i¢¥k-LJ~J.3\~:\f , LLM £<\+x\>- gm = \l\-as-0 4 9~§(\> = L amy, 4, M,_,w___g'; f5“\ W-U> CAL Lu-1, -/.§OJ~§ 1% in cli{{.m~.\;11;_|,__|,_ A~,a~°J».k < ,X 1 _ , 1-.an `v> M ‘§'<<=~> = iw iQl”_L‘1"`? `*""“' Tl-c\_ Availableat www.mathcity.org Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore. Exercise 2.1: Page 1/34 - Available at www.MathCity.org Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Chapter 02: Calculus with Analytics Geometry - … of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore. Exercise 2.1: Page 1/34 - Available at ... sm, M# **

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Page 1: Chapter 02: Calculus with Analytics Geometry - … of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore. Exercise 2.1: Page 1/34 - Available at ... sm, M# **

ew MafwwhzsC2-\cv\\¢~\S~ C\fW3QtPY 07"

‘f'§§~»®K2 F M@fQ;i“;§A5,f;<;;;;;f;§ £“af“S `”'

gig ex-; ~;.a (m~.;M1>M.,,> “_Q g, ». ' L »\z~x;,\1~*fW Q\,Mah__‘¥§°\x>\u>¢L»<*;_¢.;.Q.,¢u_...J£.~;1<'

§'<\» = 1% f,<»\~\~> -gww»\-bo M

p»~~;.L¢_a .wt Jawa- e_»\m -

on “omg Q,°__-,jf ¢,_,.Lu_ e_>/»L.s¥- <-~“5 i¢¥k-LJ~J.3\~:\f

, LLM £<\+x\>- gm = \l\-as-0 4 9~§(\> = L amy, 4, M,_,w___g';

f5“\ W-U> CAL Lu-1, -/.§OJ~§ 1% in cli{{.m~.\;11;_|,__|,_ A~,a~°J».k < ,X 1 _ ,

1-.an `v> M

‘§'<<=~>= iw iQl”_L‘1"`?

`*""“' Tl-c\_

Availableatwww.mathcity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 1/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Page 2: Chapter 02: Calculus with Analytics Geometry - … of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore. Exercise 2.1: Page 1/34 - Available at ... sm, M# **

\“\j-_|.__»u|.g; 9? %b> OU( 0* V('*‘°`&D»§ *mt-f ailxi -

P _ Q ~;.,,..t<..w Ai >~=°~i`I2'-i-LC-.~.M,u,.»\§<1~9-r°/>\~..\» ,c\~..>\ gm c..:L>-»/S df *'°~‘*“‘*~°~»L

'\7»J>\~w..\.iL¢Jx

JU..= 5`A__m-§(1\ -Q01

Ab .Q 'us 0* 7"°`Sa §,(¢0 . LA* §l*‘°§_._._\"° ¢~»€~\\'*»'

`K-#G "x-&

-ACwlu “Q” Qgm-§<».>\ = !i<-»a{§f§;; §$‘§l *L*-°>}

‘A-aa -=»

, (\ 5; f1_@_~;<»\-.»)

= gg). (¢-oO

r.

-.='> H0 = 5545

\~;_L;_J`~ ),)!.`~.s dcxuk ."”

§_Q_,Q` Cami:/~\Ju-¢.\,Ll> mm 5i-n. aww €1\-FX\ 'G

Cx-',u_,S¢`_x`1¢&

~\.9<JZ~M.

Wx L_, ¢,W,,,,;;;,1,1<,

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 2/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Page 3: Chapter 02: Calculus with Analytics Geometry - … of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore. Exercise 2.1: Page 1/34 - Available at ... sm, M# **

‘2~l»-2]

tikéi' Ld &:R"'V` M 'Q*“5 3

‘%&1>=\=~\

m""°’ ¢-~.~»oJ<>\=°\m_;<£b°;a` °U“W~1-5<»~U-»U adm-=o

S-J' Gam, .Q Ex. 05

. ff*/\3=\x\Wu :__ 0

°q°'°) ‘k" \*\ = “Q” Qu = 0\ -.-5° Q x-Ig-Q

` §(°'\'°) 3 ~Q.~l»- x K

15 : Q

*-§l+0 *__»°+°

$i~»~‘C-1 §(°-o\ 2: -&(o-\-a) -;_§(o3

S. Ag U5 ak ‘A -no

"‘°“’ “wi Jud ,hc

‘A-A;M fo.) = 2.;..,. ¥(\+\~5-§(1\\

\v\

sg gh) = km §(_\\5-§<.>

\\-'o o M

\\\o i

\r\-ao Mg

§'<»> = L_. \\~\M\I\-¥o

NN ""§(°5 = L* LEM _ Im.. ;L _ ,_

=~ Mm `E;"\¢@ * - ‘ `

° ‘ ~._.--- = v“'°"'° M \\-»o+uh\;`_ =' \

Szvwc-¢ \.'((°> ¢ So '¥ .Us X

Available atwww.mathcity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 3/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Page 4: Chapter 02: Calculus with Analytics Geometry - … of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore. Exercise 2.1: Page 1/34 - Available at ... sm, M# **

M&§§E§2EIy.0!`2Merging Iwgp and maths

(ixoyxdae No.1-\`) N

Q-l 5"“" “""* -L” -f(1\=\~A\-+\~A~\\ b,c.,_1-,

£»*~ °--; ~1-.9.-.¢ -4 1 faux af, -M »L=H~M;t»u.,u aivan 4 1=\ G\..i...»M `o,

-fu)-= \~A\-+\1-\\

Fiqk wi A;»\¢°-V5~ W. .@_$

LU* 11° £1 °- MJ W, g~,._,,

f(`*°) =\1~»\-\-\1.-\\

"‘“° &;;_&<~=\ - 1°::u$\1\+\1-'U

'5 \1o\‘\' \`°"\,%~1-u -3/if-`h§(~A) -= §Ql»)

S¢'§l/5 C,;:L;,,,_,.,,,,5¢\_k1L»`L»-B,,_._‘k>\.,°\>»¢~»~»5

J\»'-4»Q`¢\-~5"§ °U> C¢J»L-».»~J =€»»\¢-w-5J\.a_»Q

\Ja.Q@».n Qi.N¢w;,.¢LL»o.lJ-.»5\~¢»¢'r\~..:\ -§1'u,-°kd.1-Q{|..,~3,;.LL\

ak ~A=o §1'=\Suu. §'(»\5 = L... £(~A+\»\\-fw

\»~.». '-"Q-""'s~ ’<.; ,L L_- <\~>- to)

S ,A LTL-lo

NN Lé(°) = \\f\\-+\\\-\\-\-\\\\-$0-0 .LLM -»\r\--Um)-I

5 \r\-ao-9 K

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 4/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Page 5: Chapter 02: Calculus with Analytics Geometry - … of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore. Exercise 2.1: Page 1/34 - Available at ... sm, M# **

=-Lim»\-D o-0 (JL)

5L§n =-14, ,lg'(_\_ L_ ws-3<~>

K-ha-0 M

_ -9-¢- \\\\-\-\\\-\\ -\"\\n-to-rv -__'_§\-_-_*_-

"' `o”"` \';;§_"iIl).ZL-\\-Do-ha M

, L_* Q-B:!~R-n+o M

= LL.. -Q_-\\-»v\'\ M

_ ..Q.;.~

-_ K-90-\-o Qu)

\Lg<~> = °

sw; \_§'g°; + v~§'<.,)

S.§ 'ua mi 'M 1:0

‘W fm 5 f<~+\~>-g<~>

M_-vo

|__éU\ ._, .2,;.,... Q \\+\¢\\+\\+M_\\)-(\\\+\\-\Q“ \~

-D0-5

K-»o-0 \'\ ‘

s., Q..-...k_,__, (93

35|

Avaiiabieat

n\'r #Fif

‘_ ILrylfff

-I' I

V\§‘1<°;ity.org

,§.i,-_

+-~°‘L3

wi;“iabE3

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 5/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Page 6: Chapter 02: Calculus with Analytics Geometry - … of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore. Exercise 2.1: Page 1/34 - Available at ... sm, M# **

Qi; \.¢_k §{\\ f. 7`

Si' GMM' ab- ia

`|~

, 6

So 'z O

4, R§'(\‘ _‘ 's:(\-¥\'\>-{'(\>

M-504W ___--VT-_--_

, nw Q\|+»\+\\+\-\\>-£\~\+\\-»\>K-N-ko M

-, LLM \-\-\/\ -\-M -\\¢\-»~+o M

= 1-2- LM.\¢\-n-vo Y\

, LL.‘A-Do-\'° (1)

.Q`§rU)= L

SM* '~§'<\> ¢ WmS~ § °~»> M a;.,\>~..¢.l» M ~»=\

-4-_._-i.-.1-as-1'of=1\£\

7,14 lL\\£-.L ;

u¢ »;»<r=»J1~\H<»,~%§<=v<1=\

o*’=’»U-.\‘f(`A) :_

ua-\ \Lxé?.. `

FJ;,~,\-wa u¢‘@§(\\¢\,. . iz...

°~ S<~> ,..\-.w°= "*-‘ (M

Vx-sl-o

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 6/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Page 7: Chapter 02: Calculus with Analytics Geometry - … of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore. Exercise 2.1: Page 1/34 - Available at ... sm, M# **

Y5_I~§3

'§(\~‘>\ : \ -7

4 §u».»\ = iw gm‘A-Hko

1 lbw (7_~‘__\>

‘A-»\+o

= 203-\2 I

9*~°~= &<\~~\ = §<\+~»> ~ gm5° S- °U> 4*

M §’¢,, , L* 1iu~\~>-5wH-no

\/\

S- sm = °»~ §<~~\~>-+f»~\»\-9° °""_`T\__"__

L€Q\\ = ld-~ \-\-M-\\»\-ab-u ‘A

":. _\!\__

\»\-1°-0 V\

= Lp.\\-n-vu)

\-§(\3 = \

I = U-N-\¢\\- ‘x 9`§(`\ \\-s°»\»° \,\

, ,0,.,z~ ('L(\-\-\~\-VX"»\-|0°\'° K

=.L»» a;<;\,;=2_-.M-ao-\-o M

z. Q~f~»\ yi\~-an-o \'\

g -Lv (1)\»\-9°-vu

1:\

s

,.,

CDL-C9

4-0 5'TU 51?

<22 ‘€f`: =i,,

"3 ff-»>.;; _, W

gm Q;

v"‘?; "L

~'iI,_ Th'rwJu,fa

?-

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 7/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Page 8: Chapter 02: Calculus with Analytics Geometry - … of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore. Exercise 2.1: Page 1/34 - Available at ... sm, M# **

RQJU) = 7.

SM. L§'<\> 4 e_§'¢.)

7S°§'U>"-* wl=\

af' -fix) » ‘*‘°

I ° 'iso

Qi- GMM- {;...¢-x.- af,F

Jfbl) ¢ {;"""-A `* 1* ° _M ° “ *-°

;N°" -§(o..o) -n S410 `\-"\\¢'°

\-5|-9P»..k~A-o..\/\

‘LLM LJ~u.\f\>°4\\-ao\\-so

,...Q.~:.-_ x... "\

1 ._ (e§L. Snwl wo- `\- {'\>\.`

§(¢_¢> '; 0

A' (0 v ‘ L” U)Ig *X `A-50-b-\§

-L ~:%‘ ,r,&_

1-)o'\'°

= 1 -

\¢°<\»\‘\

Vs-N M R t»L»A\~>o\\-#0

= (J. (sm M- wi-\>\])§(\+0\ :O

2'

O

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 8/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Page 9: Chapter 02: Calculus with Analytics Geometry - … of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore. Exercise 2.1: Page 1/34 - Available at ... sm, M# **

§§~.Ca '€(o-o\=|--f{o-\-|»\ -_= 5° § '°> C-€!_>-~»»» dx >\=°

AA 18(1) : €(1q»\|`\.. 'UQ

\f\

=> f'<~»> -af.: +_<~»-M\r\

Nha L-€(o\ 1. *O\\.».-. _----~

\¢\

- QL...

_ \v\-he-0 7. °°S£Nv\|, ‘Y\¢-;~\`-_...`)\]

'I 0

de`$’(°\ =

-\\!‘\~o M

= 9....L»~ \\-an-» T-

': .

\»\-5.-w-¢O'\%w`AV\>

:: 0 -Swwl `¢\°' ;~‘ Y-'\>\I

‘.= O

Swu \_§'r-5 = P~g'(~»)

S- -g 1% 1:0nh <*-°>~“>»\'=-=~> *M

O ina

C0~»\-.tA:~\.|-6-AM/5 4, di \\=o

Q

Avaéiable atv\f‘.fvvv.z1f1aa§_%"§¢:§i;;1.or

i-1 -Y _ ,_ __ s-

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 9/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Page 10: Chapter 02: Calculus with Analytics Geometry - … of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore. Exercise 2.1: Page 1/34 - Available at ... sm, M# **

Sgy h’

gn ’ (un-¢b9§»(‘~k'I,> * +°~

Q ‘Lil

\-\¢~l -§(o\\ ._ o

A. -§(d-b\ a -Q.»~:~»»\ *A-Om-u

= <»\-@>S<»k's‘:;) f

= LM _ _ _ \ 1: Q.-*\‘\k-`. QQ »\ a_\A_a§ b“L‘\`>°Avk_’o

= fl# <-\\>‘=#~£iw)k»n

., Sk.. - A.M-»¢QA§w` \‘>

0- Suwl \°-`-»\ (.'\>‘-3

-§(o\-°) = °

+ §<<~+°> = §i.;.,. *<*”

'L L” 1-§&¢\'0 ` 3 M *=q*\A

= <a_\,\`,_¢`\QJ-('&'_:\;i‘¢\ uJ»./~|. \~>o`\'\°-3°\\-Qu

k-is M

-; 0~Sen-|» Mu- £-\a\3

‘Y(°~+~) ‘ °sm. §(¢_.» = §(a+~3=»§(¢)

s. 5 ‘w C».\t¢~,...» fm *fa

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 10/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Page 11: Chapter 02: Calculus with Analytics Geometry - … of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore. Exercise 2.1: Page 1/34 - Available at ... sm, M# **

[1""’&y'>"6< , 53:90,€_}, f

ff#0/. 3

\\ 9`f\b SQX): »3:;-v; ‘A

=-.» gm , 14. §c<=+\~\-gm\-Do M

\..{(q\ “ 3"`;"‘_b §}¥'*'»"°6%;~"( £4-K-A) '_ QK

. Ls... \\S:,..-\W\\-)o-o T

= >1.:.,.,\ ,

\\-De-0 L__s"(¢.) = Snwa -».1-{-\>\]

So Lgka) A45 ‘vxnk |_\._~L. $ -U, .,\_,»< &»~;~~Q~u °J<`*=°“

Qi "dc '$('*\= *nik 1*°° ‘Ano

ww ru c..:L,.Mx'J, 4 <9;»f§».»JAA;&:k~, ~g§~J<>\=°

5.1% G~L..»Q~ ih ‘

sm, M# **°° 1:0

\-HAI. $(o§ :O

¢\- .§(<>-o\ ': ;\Q::~;'p g .Q,.;... {--\_\_* Ona

Yu-3°-O 5*

= 0- S¢~v~¢ mv

C90/, 1

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 11/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Page 12: Chapter 02: Calculus with Analytics Geometry - … of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore. Exercise 2.1: Page 1/34 - Available at ... sm, M# **

S° '§(0-0) :. 0

4 -ffo-\-o§ = fi* iw)

=- k* x'Y¢£,\-\iI-Q0-\-Q

, 0-Sana ALJ 'v\o.

1 C

%°v\¢-l *Us-o): -f(0#\'u> ssfo)9°$'U>Cn§tAiwu»-b gJ(7\'-1°

M éhy, _‘i$_L‘i&I55-‘9-

' . - (0=> gm - fl-

\-§<°> = ’{f,‘__, \,\

= ’~ ha;»\.,.-. M

¢.».u.¢J,\ AM md e»l~A*=

So L§c~» <>\.» M ¢»»>~s\=

\~\|¢~».L1.§U>‘|\k clu-d»v~0»i»~ JuG_§_'»Eu-~£-». Q3 ¢_$ jg= Q

fm = {“‘Hz

\¥»~9. .?(|\ : Qc) ; 0

4, .&‘(<>..<>) = i?»J;_j(x3

su.. "’>= X46-»0 1

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 12/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Page 13: Chapter 02: Calculus with Analytics Geometry - … of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore. Exercise 2.1: Page 1/34 - Available at ... sm, M# **

‘§(°-°\ -= O|

‘L g(u+¢\ = £,3 1

‘A-hu

‘ §“M,

$;-!-L `g(o-u\ = {(o+0\ ‘<g(0) s., § u, C.JI~»...» di no 1 _

f

M -§3(~n = »3`-Z" -§(‘M\\1\-3(1) =>§<.,; = ¥<\~>-im

-30‘A

L§(°) = -Q4-~ ¥\ -o__\\-"G-U ‘A

I: ‘lg-‘

“Ju-0

:L_ Q1Rap-°

__A 0

e, sql.) , g<\\;-5¢.>-DOAO M

_Q __.L_ y\ - o

'I

\\-uw; h

.Q.:.... V5K-a°+o»\

\|3-= (_°\

'Z O

*M \-§’c~> , ¢g'<~>> ax “so1.1-__`

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 13/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Page 14: Chapter 02: Calculus with Analytics Geometry - … of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore. Exercise 2.1: Page 1/34 - Available at ... sm, M# **

Q_IF»;,..,\'xmv¢J2.U~u>~l§» ov# \o./>a,t€~4_iC~¢~>~.»..~.» 4 d»>Q{w;,~t;.1J»_ CU( 1 \ .WLM

¥(`A)_ x- *4\own-\» "5\

S-'8-" GMM' la3 ` 4\ x X "# *

°\‘A+\» 13|%';"Q S di X=\

S.> '§(\-°\ = -§(\-N-ca)

.Q,;_._ Shy -3 Lt... “U`\-5\-o ~A.g\.\,.

-94.1/~» 13 = .Q,¢___ &“*`_\')1-N-u "A-u\+\

3

U) = 0\(\\+\»

-‘='70\<\-`o=\P\-Q/»°o\»S»§

So \_{m = 4151;

NN »§`(~A)= -94... »§(~»\-n-N--f(a1)X __________,,-§e M

S- fm = x §\'\'\\\-5 "' \

»\-5 o-0 k

1.-i;1;L¢'-

_QAM Mx-s\¢\+'s\: A-\f?"

\\.. »-o Wm

L# Q3 -\»3\\ +\& >Vs-an-0

: '5-\-O-»\"0

/Y

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 14/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Page 15: Chapter 02: Calculus with Analytics Geometry - … of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore. Exercise 2.1: Page 1/34 - Available at ... sm, M# **

l_§'c»> = 3

4 Mm = 1~=- §<~+\~\-§u>»\-in \-0

= -'SMA [<1(\+\\\+\»]-iv~+\>l\\-u-vo *--f

z ¢(-» ¢~\¢\+){.,A-Z\’1-Hb-N9 M

= M- Q.\-50-vs M

1. -LJ-\ ¢\\»'|o~\-a

94555 :_ on

5$~»~¢» .§ 1/> ALQ{-u-L:..!J4 M ax -= 3

_,S° = g&I(`»

==) 3 'rg &

¢¢\_ SQ-:Zi?»J: 'w~®'S-#L ¢\

Qi LU: f(*)_ S&~.1.»\ 4 oL>\£T/¢

dvu-\ -Q-0151

Dv~.i~.o. rt.. \JaL...u> -S, Q4 5 _,So MJ _Yu

C'~3#f~»~» 4 °Y»Qf4~Mx<.nJ. M ».1/6

gf

E

‘S

\l_ F) =»~-»a,-i` if-»'\.C..) v, Q1.7

!,,1 _3

wwf, _.L

`-T ik-`.»==*

:-‘:

um

Shmznvg-mmm:

\g Ll. "

"wa Si”

. ~'4<*~

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 15/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Page 16: Chapter 02: Calculus with Analytics Geometry - … of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore. Exercise 2.1: Page 1/34 - Available at ... sm, M# **

5;_,_7_, oLx é ‘R/5

-f(~A)=

6145 “Q rgmlé \

Q.=~.u g kb °J< 1”/1,

=‘-> su?-°> = f;<§-+°>

- Q* gm -= *M gm‘A-VL-; ‘A-HK..-we

C L

fx? gall = ""2'”° ‘A-=».`§-+°

§5~'~’~(§-) = Q(-T§§+\>

%;~`K/3 1 'Kd.+(\`¢

é

_‘E : 'Ka-\-é\»'- Q

2(A°K0-\-G\> : 653%

'R&-\-GL = 35 """"_“®A,Q,..‘§ 'v> <>\-*~’“¢*/'~1»i“~ °`k *"K/L

S- L§(1;> = 9~§(“Ic§

“"~° #fn = 9#- ‘@§`}_;‘ifi’ ‘A-Ao M

S` §(1</A= il” ¥(5r*‘“\'5(T")\\-ao M

/ _ _QA;__,_ §,w~‘a.(§"*\'~\ '99"`7'( xH’)

L§(1,L\ _ \\-Na-° \¢\

_ ¢U;_A(%*,_\`\_,_%$.»'KI3

F \\-ao-° \\

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 16/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

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CA(*7;+2_\~ Ng) §.1S;.n,\\ KI )\-,

4- L___':_3 -1-§fI:5\=~”»~%~» 4

`X-#0-°M

R->°-°V\

, 'z.C.~s("l1,*\\\.K k-»\-°

= 2_CJ>("|z*°3'\

= 2C-'s("‘l's\

:'2‘~l-L

'~§("/z) ’ '

A, RQ*/¢\= ¥&f*° MA f»<=/.»“>+»1-r<~<“/¢>+»H.-yu-\»0 _

\'\_ LW A716 -\»aJ\17(-°~2& f)/ \-~~+° ` '\\

, RM SQL\r\->°+° K

I = k

S;.,_c.¢ I/>

S. l-§("‘/H ¢ 9"¢(~‘/L)

um \ = UL

PM Q ®'|\(\\--W " 35==) 65 = 3~E"TR

§'Q'?i,"5"-=`i\

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 17/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

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Q1 3g' ‘&(\\): , '7\*(. A. _§,(°) ‘o_ m

Siibtuvskx; Cd_ -_I V# &4 ¢§`a$,=°

¢..:._N ~..

' r...\\_£(*) :A .* & * *O

g O ‘Ano

, *= ~"-U1 1- é 1* QV*-i\{_* 1 *°

\ 0 X20 E.aiu*

'xi' "i if §?3,_

A- -§'(o..o\ = Lzan 1. _§.':...-:_-E'-JZ'

xx-n-° in _*Q* ‘-C3

\

7 J...1; »Q¢¢.~\' X e' _ ________,

xv-§0-0 L V*

c "' ‘lx-L C.

\-\O»9 gx _H

-A/*‘ P,J< 1- L.

1* .QANIQ e_ -\ 'O'R-D0 'gh +` luL|~l`\,\)° * \`__%°

:_ Qc). .gli-°*'\

= Ln(-\>

§(°-°) = O

<5 -$3(o-ve) = -Qȣ.- _HM

N-vo-+o

"lt

'= L*-"~ >L{~&_:._!..}7\-be-1.5 ‘fi

C. ‘\'|

,,,,w....»»~»-»~~W~.N<<<<<~W»¢~-@¢<.~»»>

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 18/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Page 19: Chapter 02: Calculus with Analytics Geometry - … of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore. Exercise 2.1: Page 1/34 - Available at ... sm, M# **

= .Q~;.. “X gk-\ Rd' \==0+\a`*"’° Zk+`H LAL...|_\f\>o<L\»\--90

`\-5| \+.é`l;I\\

= Lo>[§;9;-3

§(o+°\ 1 0

S$v~C4 -gfo-o\‘: -§(e-\-a) s€(o')5° S: 'Us if 1 =°

An, f'(~,y , LL... f§(\+M\-5(1)k." A

-'Du

_Q gm .QQM §<m`;§c<-.>

‘K

NN L.é(°» , L_, \\(‘°'$.\\\-ro-o L \`

= Slam é-‘ _.B\\-to-lv( ;g`*`

- 21.._ oa-\

/Lg<-> =-\

4 QQ.) = »Q»~>- MM-§o'\'°

\. 3- "\ o=9-~ §‘w"" ‘_ \\_,\|°.-5 Q -\'\

M

QA;--\ E"` \\.,.+.\’§'+' "

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 19/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

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’-'/

R-Ho) 1 -QNLM <\ _ er 2

\v\-uno 1'_;"é\-YK)

-. 1;-_9_\-'\-0

P~{<-»> =\‘€>>~¢~ \-g'<~> 4= ag'<.,>

”` ‘§ `°> M f1><x~Mn.»~\. M 1,0

<=4..\ vw. ,~,L.\,T_;__;_;___'___,( LM

gm ¢..,_,, 3 ~ +~ fu

Ok* Wu. §~i'(P»!.1...»,\,_n)_

3.553 5= it °d<(z,\`3

2:91-c..~;,..M .,\,. .4 ¢,,., ;,,

`5=*L\>=-\4,. us-.A-ȴ-wx.

él =A* L1

°°~ ii = mi »»>\<1,~>

=> _<»:\_tz, = w

Ax

Qgv. jsli- Q UH)

Si* G\.L,..»- ¢.\,» di- c»..»-~n. `u>

ua;ul-.\¢,. m-:\.'t-x

-_QD... = _.Lchu ‘LL

Al- = ;L_. ¢j&_* (UL <\>\)

s.é§;=-\,u.1.>`J*L»>,~,-.~\,-J,L.\>~_.g§;__3.__¢,Q,;,Q

'¥.j-~»~4~\Q\.~Mu..

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 20/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

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QB; j= xl-`|1+'5 ¢A-Q-,H-5)

S-193 G-#PAM uh. 4 QMNQ -U)

`j=~ if-`l‘*I\-\-‘3» bo-Jr..-E.;&&_`L-L ';_dx *1

A $3.1 = 2_(1)~`I ¢»\(1,~,)dx

o/\§_`L::\‘1-'|A1

Q; ,dx 1

~u,1~3~cl~\/»\-\;._.,n_»__U.,»,{,,_ -§agi*_QA;“_h)

'3“°""""` Qwvwz. X) *V e

QL? ui v 11,1 fn. vdloahj .4 Q §.\»<X. 0;

Y.

Qi

zd Q

.1 Q

5% Qi# Eé QE

°"~j ji-~»-b2 A»\'\~n.o~Q¢q_Q,_M;1;_;,,°v*=U~u»L-»>t°.Mi-'v> t

SQ-

S‘~§\>'\* U-J‘ ex Jsiimbs an MIAA ‘ 1 ` _

hu Lam f~»~ Qin; P-0. <> P G

Uri ~€»f»~ ‘b~:~.¢ t, M \>.»:1;,,0.¢ ¢u..¢S2,~u> .imV. P L..;\»\= vdkv M Nbp. \=,_,,I,L.., ;,~.N.u

:hir o-QX»»~ o~ /Sw\~U. °¥.ti-vv-I 3t>:’~k

J»u»¢,Lu» oo* G1 Lww Wi. Sv. A+. »~-wvs\w~ILf/ln »_tkA,s~.s \m,Q.€\9`w~’C~;,_; §§‘t'»-

V -\., GL.. f7\~»-“”'3'a¢c_..g §.,3;¢,Q, , - - _ ~ S\%__ _UM 4 "°"`I"L ' T1 ' -~~~ M'

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 21/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

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O>\>°L ‘Q '63

‘QYL 5 , \ _ '

_t_~_` _

gg" S 1. __\_.

i-_+\

W- w-»1.*=- Je

QQ. , '-\di: UPN);

an 7)~ -.= _:L_QE.-»\)7' nt 5-` O)\)z.

va 2 *':j""" 1-1 “\(Q-\-\)"

)} = ..Zl_- -= ` (\+»3" L'

ul 7, ....-.-.J--T. : :.L-(21-\) ‘1

M \y= .:l---HH#

_LU 1- -f-(‘\.*r\)

¢h>_ = 1-Oc-H3dt

°” ‘ 'iiit2 t‘\;'0a\a7~

Qc = -""" S BL.. -(°~\)" \ ' 1

Q\ 'Z -3"-""'T; S _‘el-f~ .1 3 .l-L\-\-\) Q41 3 ly

Q ':- L .?:...._ .L-. _

"' -~ (La-\)5 2 (353 `° 17

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 22/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

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_,mn lr? mfés; A; Q

Merging P~iag1_ ami maths

Qi S = it-s-2.i:+S` 18

$333 G\~1n.~\

S ='t‘»n.t+5'\>4~Vf- w-1\.t-t

" 'grit = 7-‘t-\-1.

U 1 'L(t\»\\

P-Hx k=°‘)\72.v' 1 7-(°+\§ -. 1

W -5 ?.(\+\\ -.a \1

ul =1(».»»> :_ 4

AA 1) = '2_<-§.\.\)

ul-gg. L.;-/1.-M 4:

é_l}._ = ?~(\-\-0)dt(1 f A

VJ JL=0>\>2_

oL°=2_C\\=?_

:LatQV° S : 'tl (ft-\)Q? c=.;~.M

S 1 't.L&t'\>S 1 .t3_:t‘L

LD Aft- ‘t ‘Q_Q-L; _ 1di - 3'£...z_i‘. A9

»

al "4

.fi J’Y.>,,_,a 4

¢\

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 23/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Page 24: Chapter 02: Calculus with Analytics Geometry - … of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore. Exercise 2.1: Page 1/34 - Available at ... sm, M# **

LM

"1-Nu 1 3{"-1‘\’-PM 't =°>\>2.

v. = ac~>‘- im = ° 1.

2 ‘shy-z(\‘; = 3-1 1 \

U, = 3(2)1-2.(1\ = 12.-R = 3

\°\)> \} = 3‘\*_l-Zi

g;,g§,. m.A.t- 'C

il.. , 641-2.at Q, _Y

A 7- fl £?,:féf’ QA ‘t : O 1 \; 1

ao -; *L 3 'L Q : 6 Cz) ” 7' = \°

'L

A-\. ,Q;.,.._ ,sn ngaQi A gb, M-M.. Sam --1»~»> <»@f»~

U, 5 ,_ L\t‘-\é’c-\-\2_

V4-¢\U> '7\~.o. ¢w»~.3¢ wi. KM. M )..~bM~J~ [H wat]

Q9 UM. ack 'f- °\SJR- Cv§-n~\

\>~°»=~*a ~%\>°*1‘

r S =_ \\*€`-‘\<,t-\-\z_ _

NO. ¢Q\-|\»J lim* ` V)

z>.s thi? ¢5?fj°~€* ;"‘,§ -EE =

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 24/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

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9; 2 S(\ -yM;)-SQ) A+' \-\-at--\

= [=~§\+f>1>‘-\c<\+¢>.t\+;11e[“<‘f"'=C'>+"~3_at

‘_ \-\(\-\-zAt+M-.I§..\¢ ._ mst +V. .f 1-\+\L-R23

At_ /+ Rat -\-*-\A€-5Af-\§ §'b +\4/-/+1/¢.\,¢f' At_z L¢A€“_gAt

Ai-_

Z \4¢y{fAt.-2.)

A#': L|(At¢-1.)

_[EE = L,At..2 1-LA \M.$L_-N \'_\,\+.A*\;\

NM v¢m.,¢;1=, 4 \>.~n¢1. .Ak +>=\ v,

Lg. Qi -_= L., my t=\At-#Q bf ¢'\’__-Io ("&t’-Q)

Q; = \<t°>-2a\+_

S. U =-8-~\s<¢ me t=\Ciyg qu 4 .»Q»&~j md -L />a-CNA/> 'v>

5 = -»J'-sf&_»=<»¢

F;,_,`,\ ilu. l»°J»¢’J, cLc_c.- eou:,L lJ5> 'sb 30°-

Si:

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 25/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Page 26: Chapter 02: Calculus with Analytics Geometry - … of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore. Exercise 2.1: Page 1/34 - Available at ... sm, M# **

S__&- GLM .txwx

S = 1:3-é.'hz+

3%. \2.‘\: -\-Q

34; \2_-E-\-‘\

D--Q; whk 't

at5344. L.:-»\.'\:-'k

§_§__ _ ‘_dtv = ‘-

‘*v M; H.di:

dx Q -:- 6t»"\`L

SQ vd;-Ȥ -Q.ȢAȤ 'tb 'Sho

“IAM 311-\1‘\§&°\ = 0

it-Vt -x-‘S = 0

tl-;-h -+_»\'$ = Q

’c(_t-3) -\(t-35 = Q

Qt-°s)(’¢-0 = ° °~» -- M..

Ni' ,L 'u> ‘Sew

Nmacc- .4 ai' '\`~“ ;”

icq = (>(\)..\z_ =-G

,,,;<\-LJ~J.»~

.\,tsLc_(. 4 ,9.-_.JA/) ak 't‘3 Q”

{&-1 = C(`$§-\'?_

'%."‘; 1. = G

,__ __.._....._.-......_.____ \nN\/w.rnathcity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 26/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

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Q-D HAQAMM 'u> ‘plmui Spwqby, -Qwwawéi“* “* “»¢» S unch vm..L»uAMd@i_Uk¢t*'g' H4 -Qa\o\»\.L\. `U> Xmalpw ¢Q,_¢v,,q 1-M

ge; m LAM 4 rn. ,QM¢_,L,_,£ U, §+*~°©~>°»°.Q-f=¢,.,\»cm;L,3;Q.4C¢¢_%x.;J~.»s\=uit. S ww @,L,S' e

'~d< Luxe, e

FM” )\.».,\»Jc a~¢4\1-\-»\Af\BC

Luk HB -9-4 WJ. ~QAJ»\L\_w\\¢~¢\BC\;X 4 \Ac\=$o2 L

1A l't0\~\l9"' ik” fo C.

Oi X = S0tQ,v`@

QL- :_ de

=;{%%} = SoS¢'€1=/Q =s0(5if=_ Sox;8:'K/,`

8° =. \®*'\/’~°'\° °"’ N “""`i‘“ 4 d`“"`3° °¥

855/4,1 w.J\-`t- 9

= _______\°°\8~

K

1 '\6'b'K\%o

1 \@~¢~'s.\\¢\¢

\%u

= \-j§-»~[¢\»]f\»< 1/> M mb 4 CLMTQ

4/L <»./@.+.»<=f wk e,<<s°

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 27/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

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Q3-f_ 'JM m°.'~§ .iiiiku 04 L»~.)a.'x.|J1°\N\ ,,`-gAM_g`t.u

"""°"""x"" Wh* *M °~=°Jw~ ADW oak

" “‘“ ““‘-" "’> M{-(t) = ‘).c'u(3o-‘\'.)

L\5wJ~»J= U>\-La. ov~w~a_sse. ,».¢|Ch°~iU~>~'L5‘~°1"'“=*

L».>¢1`¢.~ {i¢».¢» ani ¢h».xM_5A M ¥A;,\§ 5 ,,,;;,,`Mj;,_,,;g

xii) \-ww gat '» an LMI;/~ J~.uM»a»5.~.J\ w\»rn.».

e/“A A S-\$».»~.»i'.».»Q

§:‘:e.zM»A,u..xffm: 1¢°n~<.°-rf

- aiu.'T\\t~`1\~L a/~w,~¢-¢\¢.2».aLb~aJC \-"j"*'J"`*"";w E

Qui f*3~’=4‘ S “kwin Us

A5 _ t¢.1¢,s,.4°»»§c\=> _

¢ SW il.S-\

1- ff'L

_ M (xp-s\ ¢}§ (fef.1\> ' '"'”l\

w ‘~‘~»

“"‘-’ sf. 1

H , \, 1:5-<.~ ,X .. ._

1 1 v T _ 7.5¢ \\15)",§?.1\ 'S _;;f!: '53' Y --'- °1" *Q ;»¢¢»_____,_______._.

.mi

= SoU-2.$»8N\] am

=s¢,§-gc)= -\0%cz>

5-1-, \->,¢_¢.,`,¢,.,.‘¢ AAL, ak m_~.»_9~L¢1~ 114. L-.>oLI1»\. #img

wk S --~i~\.»~1<~~ 'ru \e°§C1‘ '“°"’ ~> fm) =_ mg-»,.,-f_>’~

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 28/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

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I °5~\4f~ w-/~.t~-t -N

-f(t) = -\m>\'s°.t)

\-wa N ,,_,3;,_ xx rn ¢_,,,\-:DL ,W/M Mi

o~$h»» S ~»¢-i:v, Q

= .§Ls)

:_ -\1co('$o-S)

= -H0112-S

: -\c'U1f>

= \°o¢».Lb~.u/wv~3.n~»~f\.

C__3L2~Lo\4 ,Q\.;,w< s(\.Agux) aganau t/u.<....v,

a~.QA1.~ .kb>3.9.~»~.-cl<-»~j L5 Lg1

S = ..t -mat -»\~\§t-Ho , +,><>

L§>F»L.~AQtL; w&.i.1:, .rf ;»..d._U\ ak MV, t_ ,.t_ua) 'Jn \~.héJf-5 4 :tu hgdn L~}J/~.|.~\ -»¢,=c,3.,,g,,,7O

/S¢.c~\.~,. 9~c!c¢»~§>u,t atm MMA-Cm) 'j\\9. `1V\0.i. ma- I, _Qld 1-XL JL°C& 9;:Y=-on ,%\.;.,\<><~g_.,\Jw~'~».¢< 1./s<.c.-a\/>~{»u»»1/U, `u>

S = _i-.3+1Lt‘ +\'\§+.+\°lx-148, m./\.-M t

_- _Q\_&. 1 -3%_"+\11+_+\‘\Satoh = -3‘\`~z‘\'\°"'*""‘°‘§ 'M ‘ta \~c.9.>c'JT1 °f'1Lv_Asbkgkak

on A/5 HU. U Vg A.¢clr.o.:’< ax* 0|/Ns) .t

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 29/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

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1}=-st* mt °\-\-2.-H; 39

hm \ ,"1--Ji-3’ v ' *3¢°°>"+“W°>+\QS = \°\5fUs=¢.

u,J..|~. ‘f;=3o , \} = -3('5_)1-\\‘\2.{3,).`.\q§ = __7_-,°,°+ S..,éO+\qS_

= 3zss§t|s.¢QA

w9.»~`t=So >'>)~ »= -'$l$'of`-\-\_Qz|5`~) -\-HS = -‘lSm§-\-°\6ao-\-mg

wh* ’c=7» 13 _ <1 » = nqgvquc'---- ’ ' "3(7°5+"‘1("°)+\‘\S = -mn + \3kl¢»+my

'= -\°é§.§-LIg¢¢.

NM \»1` w£uJ~ in mm muh.\~U¢uz.~/~ .,u.\L _)~,_,,(kL_J<

15£~,.,.,`¢,L~»_A , lb i2>=\q5§{,5 ' W \"°i°<5~x~s ~Q~Lc»»-u> 1s>.ssft{s¢¢. at

“M-'-°w-B im. xml. 4 )~..»o\.4,k §~\c»\L¢u.»s ..,§,Q;,\_ ANAL

t";""" *IW '\'-=°¢L'*Cf.3o

‘pit 'k.,:SDS¢¢ - . _QQ C,-,.,\,|_!5 7_},¢\§ -~a.~vJ» \.v.,\. vi, .)~¢.¢c\»=.dr Axim __5,__`_k -f‘.__“V ww

'\',:'3o Sc¢¢¢.

N*'V° nu- \N.~\- 4, h.oC`_|.i

___~,,»_;_,-¢ -`~=- -v-w~v= _.,_;:.1-@,-»-- 5

.~,.f~f.m~».-H- ._--;~, 1-mum A ¢§($»<?‘,§.»¢.§- *Z _LI fi 'T'

Merging ivzw gnci maths

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 30/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Page 31: Chapter 02: Calculus with Analytics Geometry - … of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore. Exercise 2.1: Page 1/34 - Available at ... sm, M# **

Qi” 'W MPL CN: C00 4; §»\,&»¢¢_.3 1 ».~.»:,m~5 §>‘*

w\o»ci~l~uJ» Us

Ch) - Zo-so +\ao~lL -o.\‘A

d>\=»;MA M YV\Ah.¥asA£ ¢,,,§ ,,¢~,,\,,,_

" 3

ua) W *km °YV\q)`__3{,,`,Q di _ts ‘ou .Lb

Ak--»a..,_m,, n.. c.»,=< -g \».°\,;<,A_, M mst Lo ,*MVV\0~(j»\i~\,l_ _

€-.°&- G»i-..., c..»,x Qwaw 'v>

C00 = 7-an +\¢n>"L -c>.\\\1

NM- w~h.-\->L

élbw = \¢1> -(o~\>.u.

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Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 31/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

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Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 32/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

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Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 33/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

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Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.

Exercise 2.1: Page 34/34 - Available at www.MathCity.org

Notes of Chapter 02: Calculus with Analytic Geometry by Ilmi Kitab Khana, Lahore.