~~_~~Lc~~

l -x eo x LQDX-J shyJ=~~~~~

5 h)lt

C~_~~~~-_ middotYd ~ ==~~~ --_ X~ ct Dr =~l ~ == (~- LV - i-( )

=~==~~()( - L)~ ~

~~=~~~-~I _~ f -Y - i =~~~ ~ - ~x_~)L

---~---------------~- shy

b) S~~middot~middot 1~ ltj(x)f(xt-t1x)-+(~jC)+lgtX)_ J)---o Sf ~Cy -t- 6X) ~( A) ____

____c) tdd suoplusmnroct CC(X)~c~ -- ---___

___--0 -b Cj(ylt(x+6X -~Ct)~N -t(i)~CKplusmn6X) toJ0Amiddot(f) ~~(x -tIs) ~(x~-------

-+shy d) ~OJ 1-0 ~_____

~ ( ~ ()Crb)C- yen=(x) _ bx-7 O -t 61- --1

(x--M) ~Cxl

____e = t Cx) and ds~b~e- ~J ~n(y+~x)61-t~ 0 -J -~ ~

----~

--~+----~~ (~r~)middot c~K) oR C~F~)~Cx) - +(~)31(X)

[gC)lt)J L

I-LOS) her Order

_~__ yr (j) ~ (d jill ~ j == LJ x3_ 3 e X

_ 51degy X

2 Xj = Jlt X - 3e - cos)C

I l ~ -sJr) -x - -x +

I Lj -= - Clt9ltJ7lt- + X +0 ---shy

11 -3 _~_~y = S l -x - ~ )lt ~s 1)lt -lt ~===

o -X3

middot

~===~J~x=~f ~~l = ~x-)(CA9ltL x) - ~L)(-5VKJ

d ~~x==

Vi~rY~uvtx cJI= - ~eltx l

~=~== b du-X-) J 1= ampex ftvyz x

~~~ middot4 =ALCA- == I d ~X

=== 4- (c~~(r)(o)-t(~h) = o+~x d Clt9-dz~ campd~X ==~=

---------

5) ChQil112u~

( Po 3) = [pound9J gl =~~ oR Fo r --h eX) = +[9 (x)])

---h (i) = -F 1[9 (X-I] bull9(x)=~~~=

=== a) Q(-J -R-6-roc -Pu n C-h Crn5 10 ~~=

CD reX) = C-x3 -x + )

-FeX) j(~(-x3-x+lq[3x2- IJ=== ~ I ~o g(X) ~c15-X2 = ((5-X~)~~~~~_

J - ~2ltjl(-x) ~((5-X~) (-~x)

-~-~_ -~ - x- x -~- -J~5-X2 -= -JJ5-X-Z~===

~_~==reg=~j(XJ ~Jx3 [wINK LtaIJXz]

-h leX) = ~(tanxYsec~x) middot

===)- tam -z M-C~

bJ -Lrans FNS

J __0_ fxJ = C-d-dlJfXJ __f Lx) -~(~K2-) L8x1

__----____-_- ~x ~ (4x 2)

---o--~ 3 (x- ) ~ e tfx of-3

- () Jf-x -F3(Ll ) J lIx + 3----- LJ x =- e 1 J = l e _____

-~--reg 0 (X) = ~~=xJ------__---_ -h I()(J =- ~(CampltJrx)[(~JX) dx-i )-shy

-

------- C-Bltl (eampJJXJ ~JX ----------drx~~-

____--(3) pound (X)= ~~zt+ I

II L __--__t xJ ~ ~ (X+jJ =~~ ( it + IJ__

-- ______fl(X) = ~[X~I middotId = o~~t-I)~__shy

reg 9 Cx) == kYL e X(x ~ y) Ix

ltj (X) ~ ~[e j((x ~Lf~ -1n-L-fX

a L-X-) ~ eX -t--L-n(~~4J - _ ~~ o ~ ~ ~ ~----

I (-X- == 4- I middot lX- - _ - ) )(~4 ~ -x

~=~~

- + ~~ - -X-2-L c(~

_1

1-10 YY e W 0 ( K Fo r J)oj 7

I) Be ab e ~ gro vt (Slt nates )

CP ~(9 0) -f Ix) = e [a eonsioneJ) then f(K) =-0

b)i j(x) == -Xn ufer~ n l~ an in~eae1 ~ I-J drtot TnQra 0 ~ -then f (x) Y X

[) ~ (uses bmiddotnoyv1 aL --t-heore rY)

ktV

~(J ~ ~) ( c+) e-+ wJer-e ( i s a COYlsfan-L cp Jw

V cL) (f -+ 9) fplusmn ~f 0 cY

rP-or c) (f5) 1S + + 9

Wrmiddotdc oud CleoriltJ -amphe fP rao-Js -10 -the abov~ rul eS 8eSil eoch uII-th

J

B~ de-Rnib~ 0+ derivcdive)

1 0) Sllteteh ~= cost ( 0) ~rJ Shaw -tha +he sc~es ~~ theshy

-toVo3eYt LneS -0 ~= coslt w lYolee

the ~~n ~= - Snyen- bull b) S~etch j== Jln-x otcl Show t-hakshy

+he so~es or -the 1orr~~t ult~ procluce ~ -= t +0 -x ~ 0 bull

---~---------------~- shy

b) S~~middot~middot 1~ ltj(x)f(xt-t1x)-+(~jC)+lgtX)_ J)---o Sf ~Cy -t- 6X) ~( A) ____

____c) tdd suoplusmnroct CC(X)~c~ -- ---___

___--0 -b Cj(ylt(x+6X -~Ct)~N -t(i)~CKplusmn6X) toJ0Amiddot(f) ~~(x -tIs) ~(x~-------

-+shy d) ~OJ 1-0 ~_____

~ ( ~ ()Crb)C- yen=(x) _ bx-7 O -t 61- --1

(x--M) ~Cxl

____e = t Cx) and ds~b~e- ~J ~n(y+~x)61-t~ 0 -J -~ ~

----~

--~+----~~ (~r~)middot c~K) oR C~F~)~Cx) - +(~)31(X)

[gC)lt)J L

I-LOS) her Order

_~__ yr (j) ~ (d jill ~ j == LJ x3_ 3 e X

_ 51degy X

2 Xj = Jlt X - 3e - cos)C

I l ~ -sJr) -x - -x +

I Lj -= - Clt9ltJ7lt- + X +0 ---shy

11 -3 _~_~y = S l -x - ~ )lt ~s 1)lt -lt ~===

o -X3

middot

~===~J~x=~f ~~l = ~x-)(CA9ltL x) - ~L)(-5VKJ

d ~~x==

Vi~rY~uvtx cJI= - ~eltx l

~=~== b du-X-) J 1= ampex ftvyz x

~~~ middot4 =ALCA- == I d ~X

=== 4- (c~~(r)(o)-t(~h) = o+~x d Clt9-dz~ campd~X ==~=

---------

5) ChQil112u~

( Po 3) = [pound9J gl =~~ oR Fo r --h eX) = +[9 (x)])

---h (i) = -F 1[9 (X-I] bull9(x)=~~~=

=== a) Q(-J -R-6-roc -Pu n C-h Crn5 10 ~~=

CD reX) = C-x3 -x + )

-FeX) j(~(-x3-x+lq[3x2- IJ=== ~ I ~o g(X) ~c15-X2 = ((5-X~)~~~~~_

J - ~2ltjl(-x) ~((5-X~) (-~x)

-~-~_ -~ - x- x -~- -J~5-X2 -= -JJ5-X-Z~===

~_~==reg=~j(XJ ~Jx3 [wINK LtaIJXz]

-h leX) = ~(tanxYsec~x) middot

===)- tam -z M-C~

bJ -Lrans FNS

J __0_ fxJ = C-d-dlJfXJ __f Lx) -~(~K2-) L8x1

__----____-_- ~x ~ (4x 2)

---o--~ 3 (x- ) ~ e tfx of-3

- () Jf-x -F3(Ll ) J lIx + 3----- LJ x =- e 1 J = l e _____

-~--reg 0 (X) = ~~=xJ------__---_ -h I()(J =- ~(CampltJrx)[(~JX) dx-i )-shy

-

------- C-Bltl (eampJJXJ ~JX ----------drx~~-

____--(3) pound (X)= ~~zt+ I

II L __--__t xJ ~ ~ (X+jJ =~~ ( it + IJ__

-- ______fl(X) = ~[X~I middotId = o~~t-I)~__shy

reg 9 Cx) == kYL e X(x ~ y) Ix

ltj (X) ~ ~[e j((x ~Lf~ -1n-L-fX

a L-X-) ~ eX -t--L-n(~~4J - _ ~~ o ~ ~ ~ ~----

I (-X- == 4- I middot lX- - _ - ) )(~4 ~ -x

~=~~

- + ~~ - -X-2-L c(~

_1

1-10 YY e W 0 ( K Fo r J)oj 7

I) Be ab e ~ gro vt (Slt nates )

CP ~(9 0) -f Ix) = e [a eonsioneJ) then f(K) =-0

b)i j(x) == -Xn ufer~ n l~ an in~eae1 ~ I-J drtot TnQra 0 ~ -then f (x) Y X

[) ~ (uses bmiddotnoyv1 aL --t-heore rY)

ktV

~(J ~ ~) ( c+) e-+ wJer-e ( i s a COYlsfan-L cp Jw

V cL) (f -+ 9) fplusmn ~f 0 cY

rP-or c) (f5) 1S + + 9

Wrmiddotdc oud CleoriltJ -amphe fP rao-Js -10 -the abov~ rul eS 8eSil eoch uII-th

J

B~ de-Rnib~ 0+ derivcdive)

1 0) Sllteteh ~= cost ( 0) ~rJ Shaw -tha +he sc~es ~~ theshy

-toVo3eYt LneS -0 ~= coslt w lYolee

the ~~n ~= - Snyen- bull b) S~etch j== Jln-x otcl Show t-hakshy

+he so~es or -the 1orr~~t ult~ procluce ~ -= t +0 -x ~ 0 bull

I-LOS) her Order

_~__ yr (j) ~ (d jill ~ j == LJ x3_ 3 e X

_ 51degy X

2 Xj = Jlt X - 3e - cos)C

I l ~ -sJr) -x - -x +

I Lj -= - Clt9ltJ7lt- + X +0 ---shy

11 -3 _~_~y = S l -x - ~ )lt ~s 1)lt -lt ~===

o -X3

middot

~===~J~x=~f ~~l = ~x-)(CA9ltL x) - ~L)(-5VKJ

d ~~x==

Vi~rY~uvtx cJI= - ~eltx l

~=~== b du-X-) J 1= ampex ftvyz x

~~~ middot4 =ALCA- == I d ~X

=== 4- (c~~(r)(o)-t(~h) = o+~x d Clt9-dz~ campd~X ==~=

---------

5) ChQil112u~

( Po 3) = [pound9J gl =~~ oR Fo r --h eX) = +[9 (x)])

---h (i) = -F 1[9 (X-I] bull9(x)=~~~=

=== a) Q(-J -R-6-roc -Pu n C-h Crn5 10 ~~=

CD reX) = C-x3 -x + )

-FeX) j(~(-x3-x+lq[3x2- IJ=== ~ I ~o g(X) ~c15-X2 = ((5-X~)~~~~~_

J - ~2ltjl(-x) ~((5-X~) (-~x)

-~-~_ -~ - x- x -~- -J~5-X2 -= -JJ5-X-Z~===

~_~==reg=~j(XJ ~Jx3 [wINK LtaIJXz]

-h leX) = ~(tanxYsec~x) middot

===)- tam -z M-C~

bJ -Lrans FNS

J __0_ fxJ = C-d-dlJfXJ __f Lx) -~(~K2-) L8x1

__----____-_- ~x ~ (4x 2)

---o--~ 3 (x- ) ~ e tfx of-3

- () Jf-x -F3(Ll ) J lIx + 3----- LJ x =- e 1 J = l e _____

-~--reg 0 (X) = ~~=xJ------__---_ -h I()(J =- ~(CampltJrx)[(~JX) dx-i )-shy

-

------- C-Bltl (eampJJXJ ~JX ----------drx~~-

____--(3) pound (X)= ~~zt+ I

II L __--__t xJ ~ ~ (X+jJ =~~ ( it + IJ__

-- ______fl(X) = ~[X~I middotId = o~~t-I)~__shy

reg 9 Cx) == kYL e X(x ~ y) Ix

ltj (X) ~ ~[e j((x ~Lf~ -1n-L-fX

a L-X-) ~ eX -t--L-n(~~4J - _ ~~ o ~ ~ ~ ~----

I (-X- == 4- I middot lX- - _ - ) )(~4 ~ -x

~=~~

- + ~~ - -X-2-L c(~

_1

1-10 YY e W 0 ( K Fo r J)oj 7

I) Be ab e ~ gro vt (Slt nates )

CP ~(9 0) -f Ix) = e [a eonsioneJ) then f(K) =-0

b)i j(x) == -Xn ufer~ n l~ an in~eae1 ~ I-J drtot TnQra 0 ~ -then f (x) Y X

[) ~ (uses bmiddotnoyv1 aL --t-heore rY)

ktV

~(J ~ ~) ( c+) e-+ wJer-e ( i s a COYlsfan-L cp Jw

V cL) (f -+ 9) fplusmn ~f 0 cY

rP-or c) (f5) 1S + + 9

Wrmiddotdc oud CleoriltJ -amphe fP rao-Js -10 -the abov~ rul eS 8eSil eoch uII-th

J

B~ de-Rnib~ 0+ derivcdive)

1 0) Sllteteh ~= cost ( 0) ~rJ Shaw -tha +he sc~es ~~ theshy

-toVo3eYt LneS -0 ~= coslt w lYolee

the ~~n ~= - Snyen- bull b) S~etch j== Jln-x otcl Show t-hakshy

+he so~es or -the 1orr~~t ult~ procluce ~ -= t +0 -x ~ 0 bull

middot

~===~J~x=~f ~~l = ~x-)(CA9ltL x) - ~L)(-5VKJ

d ~~x==

Vi~rY~uvtx cJI= - ~eltx l

~=~== b du-X-) J 1= ampex ftvyz x

~~~ middot4 =ALCA- == I d ~X

=== 4- (c~~(r)(o)-t(~h) = o+~x d Clt9-dz~ campd~X ==~=

---------

5) ChQil112u~

( Po 3) = [pound9J gl =~~ oR Fo r --h eX) = +[9 (x)])

---h (i) = -F 1[9 (X-I] bull9(x)=~~~=

=== a) Q(-J -R-6-roc -Pu n C-h Crn5 10 ~~=

CD reX) = C-x3 -x + )

-FeX) j(~(-x3-x+lq[3x2- IJ=== ~ I ~o g(X) ~c15-X2 = ((5-X~)~~~~~_

J - ~2ltjl(-x) ~((5-X~) (-~x)

-~-~_ -~ - x- x -~- -J~5-X2 -= -JJ5-X-Z~===

~_~==reg=~j(XJ ~Jx3 [wINK LtaIJXz]

-h leX) = ~(tanxYsec~x) middot

===)- tam -z M-C~

bJ -Lrans FNS

J __0_ fxJ = C-d-dlJfXJ __f Lx) -~(~K2-) L8x1

__----____-_- ~x ~ (4x 2)

---o--~ 3 (x- ) ~ e tfx of-3

- () Jf-x -F3(Ll ) J lIx + 3----- LJ x =- e 1 J = l e _____

-~--reg 0 (X) = ~~=xJ------__---_ -h I()(J =- ~(CampltJrx)[(~JX) dx-i )-shy

-

------- C-Bltl (eampJJXJ ~JX ----------drx~~-

____--(3) pound (X)= ~~zt+ I

II L __--__t xJ ~ ~ (X+jJ =~~ ( it + IJ__

-- ______fl(X) = ~[X~I middotId = o~~t-I)~__shy

reg 9 Cx) == kYL e X(x ~ y) Ix

ltj (X) ~ ~[e j((x ~Lf~ -1n-L-fX

a L-X-) ~ eX -t--L-n(~~4J - _ ~~ o ~ ~ ~ ~----

I (-X- == 4- I middot lX- - _ - ) )(~4 ~ -x

~=~~

- + ~~ - -X-2-L c(~

_1

1-10 YY e W 0 ( K Fo r J)oj 7

I) Be ab e ~ gro vt (Slt nates )

CP ~(9 0) -f Ix) = e [a eonsioneJ) then f(K) =-0

b)i j(x) == -Xn ufer~ n l~ an in~eae1 ~ I-J drtot TnQra 0 ~ -then f (x) Y X

[) ~ (uses bmiddotnoyv1 aL --t-heore rY)

ktV

~(J ~ ~) ( c+) e-+ wJer-e ( i s a COYlsfan-L cp Jw

V cL) (f -+ 9) fplusmn ~f 0 cY

rP-or c) (f5) 1S + + 9

Wrmiddotdc oud CleoriltJ -amphe fP rao-Js -10 -the abov~ rul eS 8eSil eoch uII-th

J

B~ de-Rnib~ 0+ derivcdive)

1 0) Sllteteh ~= cost ( 0) ~rJ Shaw -tha +he sc~es ~~ theshy

-toVo3eYt LneS -0 ~= coslt w lYolee

the ~~n ~= - Snyen- bull b) S~etch j== Jln-x otcl Show t-hakshy

+he so~es or -the 1orr~~t ult~ procluce ~ -= t +0 -x ~ 0 bull

---------

5) ChQil112u~

( Po 3) = [pound9J gl =~~ oR Fo r --h eX) = +[9 (x)])

---h (i) = -F 1[9 (X-I] bull9(x)=~~~=

=== a) Q(-J -R-6-roc -Pu n C-h Crn5 10 ~~=

CD reX) = C-x3 -x + )

-FeX) j(~(-x3-x+lq[3x2- IJ=== ~ I ~o g(X) ~c15-X2 = ((5-X~)~~~~~_

J - ~2ltjl(-x) ~((5-X~) (-~x)

-~-~_ -~ - x- x -~- -J~5-X2 -= -JJ5-X-Z~===

~_~==reg=~j(XJ ~Jx3 [wINK LtaIJXz]

-h leX) = ~(tanxYsec~x) middot

===)- tam -z M-C~

bJ -Lrans FNS

J __0_ fxJ = C-d-dlJfXJ __f Lx) -~(~K2-) L8x1

__----____-_- ~x ~ (4x 2)

---o--~ 3 (x- ) ~ e tfx of-3

- () Jf-x -F3(Ll ) J lIx + 3----- LJ x =- e 1 J = l e _____

-~--reg 0 (X) = ~~=xJ------__---_ -h I()(J =- ~(CampltJrx)[(~JX) dx-i )-shy

-

------- C-Bltl (eampJJXJ ~JX ----------drx~~-

____--(3) pound (X)= ~~zt+ I

II L __--__t xJ ~ ~ (X+jJ =~~ ( it + IJ__

-- ______fl(X) = ~[X~I middotId = o~~t-I)~__shy

reg 9 Cx) == kYL e X(x ~ y) Ix

ltj (X) ~ ~[e j((x ~Lf~ -1n-L-fX

a L-X-) ~ eX -t--L-n(~~4J - _ ~~ o ~ ~ ~ ~----

I (-X- == 4- I middot lX- - _ - ) )(~4 ~ -x

~=~~

- + ~~ - -X-2-L c(~

_1

1-10 YY e W 0 ( K Fo r J)oj 7

I) Be ab e ~ gro vt (Slt nates )

CP ~(9 0) -f Ix) = e [a eonsioneJ) then f(K) =-0

b)i j(x) == -Xn ufer~ n l~ an in~eae1 ~ I-J drtot TnQra 0 ~ -then f (x) Y X

[) ~ (uses bmiddotnoyv1 aL --t-heore rY)

ktV

~(J ~ ~) ( c+) e-+ wJer-e ( i s a COYlsfan-L cp Jw

V cL) (f -+ 9) fplusmn ~f 0 cY

rP-or c) (f5) 1S + + 9

Wrmiddotdc oud CleoriltJ -amphe fP rao-Js -10 -the abov~ rul eS 8eSil eoch uII-th

J

B~ de-Rnib~ 0+ derivcdive)

1 0) Sllteteh ~= cost ( 0) ~rJ Shaw -tha +he sc~es ~~ theshy

-toVo3eYt LneS -0 ~= coslt w lYolee

the ~~n ~= - Snyen- bull b) S~etch j== Jln-x otcl Show t-hakshy

+he so~es or -the 1orr~~t ult~ procluce ~ -= t +0 -x ~ 0 bull

bJ -Lrans FNS

J __0_ fxJ = C-d-dlJfXJ __f Lx) -~(~K2-) L8x1

__----____-_- ~x ~ (4x 2)

---o--~ 3 (x- ) ~ e tfx of-3

- () Jf-x -F3(Ll ) J lIx + 3----- LJ x =- e 1 J = l e _____

-~--reg 0 (X) = ~~=xJ------__---_ -h I()(J =- ~(CampltJrx)[(~JX) dx-i )-shy

-

------- C-Bltl (eampJJXJ ~JX ----------drx~~-

____--(3) pound (X)= ~~zt+ I

II L __--__t xJ ~ ~ (X+jJ =~~ ( it + IJ__

-- ______fl(X) = ~[X~I middotId = o~~t-I)~__shy

reg 9 Cx) == kYL e X(x ~ y) Ix

ltj (X) ~ ~[e j((x ~Lf~ -1n-L-fX

a L-X-) ~ eX -t--L-n(~~4J - _ ~~ o ~ ~ ~ ~----

I (-X- == 4- I middot lX- - _ - ) )(~4 ~ -x

~=~~

- + ~~ - -X-2-L c(~

_1

1-10 YY e W 0 ( K Fo r J)oj 7

I) Be ab e ~ gro vt (Slt nates )

CP ~(9 0) -f Ix) = e [a eonsioneJ) then f(K) =-0

b)i j(x) == -Xn ufer~ n l~ an in~eae1 ~ I-J drtot TnQra 0 ~ -then f (x) Y X

[) ~ (uses bmiddotnoyv1 aL --t-heore rY)

ktV

~(J ~ ~) ( c+) e-+ wJer-e ( i s a COYlsfan-L cp Jw

V cL) (f -+ 9) fplusmn ~f 0 cY

rP-or c) (f5) 1S + + 9

Wrmiddotdc oud CleoriltJ -amphe fP rao-Js -10 -the abov~ rul eS 8eSil eoch uII-th

J

B~ de-Rnib~ 0+ derivcdive)

1 0) Sllteteh ~= cost ( 0) ~rJ Shaw -tha +he sc~es ~~ theshy

-toVo3eYt LneS -0 ~= coslt w lYolee

the ~~n ~= - Snyen- bull b) S~etch j== Jln-x otcl Show t-hakshy

+he so~es or -the 1orr~~t ult~ procluce ~ -= t +0 -x ~ 0 bull

reg 9 Cx) == kYL e X(x ~ y) Ix

ltj (X) ~ ~[e j((x ~Lf~ -1n-L-fX

a L-X-) ~ eX -t--L-n(~~4J - _ ~~ o ~ ~ ~ ~----

I (-X- == 4- I middot lX- - _ - ) )(~4 ~ -x

~=~~

- + ~~ - -X-2-L c(~

_1

1-10 YY e W 0 ( K Fo r J)oj 7

I) Be ab e ~ gro vt (Slt nates )

CP ~(9 0) -f Ix) = e [a eonsioneJ) then f(K) =-0

b)i j(x) == -Xn ufer~ n l~ an in~eae1 ~ I-J drtot TnQra 0 ~ -then f (x) Y X

[) ~ (uses bmiddotnoyv1 aL --t-heore rY)

ktV

~(J ~ ~) ( c+) e-+ wJer-e ( i s a COYlsfan-L cp Jw

V cL) (f -+ 9) fplusmn ~f 0 cY

rP-or c) (f5) 1S + + 9

Wrmiddotdc oud CleoriltJ -amphe fP rao-Js -10 -the abov~ rul eS 8eSil eoch uII-th

J

B~ de-Rnib~ 0+ derivcdive)

1 0) Sllteteh ~= cost ( 0) ~rJ Shaw -tha +he sc~es ~~ theshy

-toVo3eYt LneS -0 ~= coslt w lYolee

the ~~n ~= - Snyen- bull b) S~etch j== Jln-x otcl Show t-hakshy

+he so~es or -the 1orr~~t ult~ procluce ~ -= t +0 -x ~ 0 bull

_1

1-10 YY e W 0 ( K Fo r J)oj 7

I) Be ab e ~ gro vt (Slt nates )

CP ~(9 0) -f Ix) = e [a eonsioneJ) then f(K) =-0

b)i j(x) == -Xn ufer~ n l~ an in~eae1 ~ I-J drtot TnQra 0 ~ -then f (x) Y X

[) ~ (uses bmiddotnoyv1 aL --t-heore rY)

ktV

~(J ~ ~) ( c+) e-+ wJer-e ( i s a COYlsfan-L cp Jw

V cL) (f -+ 9) fplusmn ~f 0 cY

rP-or c) (f5) 1S + + 9

Wrmiddotdc oud CleoriltJ -amphe fP rao-Js -10 -the abov~ rul eS 8eSil eoch uII-th

J

B~ de-Rnib~ 0+ derivcdive)

1 0) Sllteteh ~= cost ( 0) ~rJ Shaw -tha +he sc~es ~~ theshy

-toVo3eYt LneS -0 ~= coslt w lYolee

the ~~n ~= - Snyen- bull b) S~etch j== Jln-x otcl Show t-hakshy

+he so~es or -the 1orr~~t ult~ procluce ~ -= t +0 -x ~ 0 bull

1-10 YY e W 0 ( K Fo r J)oj 7

I) Be ab e ~ gro vt (Slt nates )

CP ~(9 0) -f Ix) = e [a eonsioneJ) then f(K) =-0

b)i j(x) == -Xn ufer~ n l~ an in~eae1 ~ I-J drtot TnQra 0 ~ -then f (x) Y X

[) ~ (uses bmiddotnoyv1 aL --t-heore rY)

ktV

~(J ~ ~) ( c+) e-+ wJer-e ( i s a COYlsfan-L cp Jw

V cL) (f -+ 9) fplusmn ~f 0 cY

rP-or c) (f5) 1S + + 9

Wrmiddotdc oud CleoriltJ -amphe fP rao-Js -10 -the abov~ rul eS 8eSil eoch uII-th

J

B~ de-Rnib~ 0+ derivcdive)

1 0) Sllteteh ~= cost ( 0) ~rJ Shaw -tha +he sc~es ~~ theshy

-toVo3eYt LneS -0 ~= coslt w lYolee

the ~~n ~= - Snyen- bull b) S~etch j== Jln-x otcl Show t-hakshy

+he so~es or -the 1orr~~t ult~ procluce ~ -= t +0 -x ~ 0 bull

3) D ~-rfe~aplusmn~ Srnp li~ o~ nccd~d

7x30) f(x)= + 10-2+ 10 X -+ 12

b) f(x) = 3x3 - (Px-l + X -1_ x-

A~s ci) +I(X) = ~l x~ +-2X +-lO

b) f(x) qx~ + J3 - l ~~ X 3 X7Xi

C) -F1(x) q X2+~X -+- 1

d) fl(A) X~~+ ~X~)C - ~ x3

e) f(x)= X3COSX + 3x2Sinl + 0