new assignment 2.doc

8/18/2019 NEW ASSIGNMENT 2.doc

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FORM : 104/01-F05/INT/LTN REV: 1

Effective Date: 10th March 2014

KOLEJ UNIVERSITI LINTON


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Prora!!e Na!e

"ache#or of E#ectrica# E$i$eeri$ %&o$'(") *c %&o$'( i$ E#ectrica# a$+ E#ectro$ic E$i$eeri$") *c %&o$'( i$ Mecha$ica# E$i$eeri$

Mo+,#e Na!eE$i$eeri$ Mathe!atic' 1 Mo+,#e o+e &MT .12.

*e''io$/*e!e'ter 2015/201-1Mo+,#e Lea+er

Na!eM') Mai'arah t Mah!,+ ''e''!e$t T3e /

Refere$ce No)''i$!e$t 2M1-020115

I$ter$a# Verifier M') ha$ Lea+ Officer Mr ) r,#


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Na!e%''e''!e$to!!ittee(

*t,+e$t Na!e*t,+e$tI+e$tificatio$I/Pa''3ort No)

*t,+e$t'+ec#aratio$ I here certif that thi' a''i$!e$t i' ! o$ or6 a$+ here !ateria#'

have ee$ ,'e+ fro! other re'o,rce'7 the have ee$ 3ro3er# ac6$o#e+e+)I a#'o ,$+er'ta$+ I i## face the 3o''ii#it of fai#i$ the !o+,#e if the co$te$t


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of thi' a''i$!e$t are 3#aiari8e+)

*i$e+: 999999999999999999999999 Date: 99999999999999999

O,tco!e%'( / LOC 4: Analyze the problem and ol!e "t a##ord"n$ly%

''e''!e$t LOC &: E!al'ate the appl"#at"on problem "n "nd'try "de%

LOC (: )ra* the $raph +or appropr"ate +'n#t"on $"!en and +"nd thema,"m'm and m"n"m'm !al'e%


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riteria covere+ LOC -: Sele#t the appropr"ate method to +"nd the area and !ol'me%

Re#ea'e Date 05/01/2015*,!i''io$D,e Date

15/01/2015

.ar/ obta"ned

Date Receive+

*t,+e$t' or6

a''e''e+ /+ate


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.od'le Leader0 1eedba#/%

Mo+,#eLea+er'


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co!!e$t' /fee+ac6


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*t,+e$t'co!!e$t'


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Co're*or/ 2ol"#"e

1. All coursework submitted must include

a. a copy of the full brief given by the Module Leader (with the signed coversheet)b. all source material must be cited in the text and a full bibliography of source

material

(including author title publisher and date) listed at the end of the submission

c. a copy of the !riginality "eport from #urnitin.


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$. All work must be submitted in the mode instructed by the Module Leader.

%. &ork submitted under the student's name must only be the work of that student. All

information sources must be acknowledged. lagiarism is a serious offence and will

render offenders liable to disciplinary action as set out in the rules and regulation of the

institution.. All assignments will need to be submitted to #urnitin as it is a tool to check your work for

potential plagiarism or collusion offences


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*. +tudents MUST keep a copy of all submitted work for reference purposes prior to the

original being handed in and returned. #his will provide proof that the work was

completed in the event that the work goes astray.

,. &henever a candidate submits work after approved deadline without an authorised

extension a mark of -ero (/) will be awarded. Module Leader may comment on the

0uality of the work for learning purposes.

. "e0uests for extensions of submission deadlines must be made in writing prior to the

submission deadline to the Module Leader and must be supported by documentary

evidence.


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3rad"n$ Cr"ter"a Ued To Ae or/

3radeRan$e o+

mar/3rad"n$ )e#r"ptor


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A 0 ; 100 • E


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• ?e## for!,#ate+ ar,!e$t' a'e+ o$ the 'tro$ a$+ a,the$ticevi+e$ce' ',ch a' +iara!'7 ta#e'7 chart' etc@@))

• &ih #eve# of i$$ovative$e'' a$+ creativit• Orii$a#it of or6 a$+ eect !atter • *hoi$ a ver oo+ 6$o#e+e


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• ?e## ar,e+ or6 • ver e## 3re'e$te+ evi+e$ce' ',ch a' +iara!'7 ta#e'7 chart'

etc@@))• Evi+e$ce of i$$ovative$e''• Litt#e orii$a#it of or6 a$+ oo+ critica# thi$6i$

• Coo+ co!!,$icatio$ a$+ 3re'e$tatio$ '6i##'

6 5 ; B

65 0 ; 4

C7 55 ; 5B • ?or6 of acce3ta#e =,a#it• $o' the ',>ect at acce3ta#e #eve#• *hoi$ a a'ic 6$o#e+e a$+ ,$+er'ta$+i$


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• cce3ta#e for! of 3re'e$te+ evi+e$ce' ',ch a' +iara!'7ta#e'7 chart' etc@@))

• Ver #itt#e orii$a#it of or6 • +e=,ate co!!,$icatio$ a$+ 3re'e$tatio$ '6i##'

C 50 ; 54

C5 45 ; 4B •?or6 of ,$acce3ta#e #eve#

• Lac6 of 6$o#e+e i$ the ',>ect• Lac6 of $ece''ar 6$o#e+e a$+ ,$+er'ta$+i$)7 40 ; 44


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• Di'ora$i'e+ 3re'e$tatio$ of evi+e$ce' ',ch a' +iara!'7ta#e'7 chart' etc@@))

• No orii$a#it of or6 a$+ critica# thi$6i$• Poor co!!,$icatio$ a$+ 3re'e$tatio$ '6i##'

) .0 ; .B

1 0 ; 2B


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ASSESSMENT CRITERIA AND 3RA)IN3 SHEET

(a) (b) (c) (d) (e)

No. Breakdown of assessen! cri!eria "ei#$! Ran#e of

ac$ie%een! ( )


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(&)

Marks

Awarded

(&)

"ei#$!ed

Marks

(b)'(d)

A B C D

1) Trio$o!etric Ratio' a$+ I+e$titie'

15

2)

Matrice'

20


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.) Differe$tiatio$

.5

4) I$teratio$ .0


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To!a *ercen!a#e +,,&


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2ey to marking ranges3

A * 4 1

5 , 4

6 * 4 *7

8 % 4 7

9 4 $7


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ASSI3N.ENT 6RIE1

8% A"$nment T"tle :

Tr"$onometr"# Rat"o and Ident"t"e9 .atr"#e9 )"++erent"at"on9 Inte$rat"on

% Learn"n$ O't#ome;< #o!ered :


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LOC 4: Analyze the problem and ol!e "t a##ord"n$ly%

LOC &: E!al'ate the appl"#at"on problem "n "nd'try%

LOC (: )ra* the $raph +or appropr"ate +'n#t"on $"!en and +"nd the ma,"m'm and

m"n"m'm !al'e%

LOC -: Sele#t the appropr"ate method to +"nd the area%

=% 2ro$ramme Learn"n$ O't#ome;< #o!ered :

2LO : $+er'ta$+ a$+ a33# 6$o#e+e of a$a#tica# !athe!atic') 2LO 8> : F,$ctio$ effective# a' a$ i$+ivi+,a# to 'o#ve 3ro#e!)


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)

2ro$ramme Ob?e#t"!e;< #o!ered :

2O & : Provi+e 't,+e$t' ith a$ ,$+er'ta$+i$ of the i!3orta$ce of 3ro#e! 'o#vi$

tech$i=,e)

4% 6a#/$ro'nd In+ormat"on :


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Ma$ a33#ie+ 3ro#e!' i$ 'cie$ce a$+ tech$o#o re=,ire the ,'e of e$era# !athe!atic'to3ic hich re=,ire+ for the e$i$eer' hich he#3' the! to thi$67 a$a#8e a$+ 'o#vee$i$eeri$ a33#icatio$ 3ro#e!') Thi' a''i$!e$t i' +e'i$e+ to he#3 o, i$ ac=,iri$ the a'ic !athe!atica# '6i## efore 3rocee+ to hiher #eve# 3ro#e!')


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&% Ta/

An*er all ta/:

Ta/ 8


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10)5c! )2c!

Fi,re 1

a( Fi,re 1 'ho' a riht-a$#e+ tria$#e) Fi$+ the va#,e' ofi( co' P %2 !ar6'(

P


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ii( co'ec P %2 !ar6'(

iii( 'i$ 2P %2 !ar6'(

( Cive$ co' % A 5( Gco' A co' 5 ; 'i$ A 'i$ 5 a$+ 'i$ 2 A G 2'i$ Aco' A) %4 !ar6'( *ho that co' . A G4 co'. A - .co' A

c( *o#ve the fo##oi$ trio$o!etric e=,atio$' for 0H x .0H)

i( co' 2 x G 2-5co' x %. !ar6'(


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ii( cot x G 1)A.2 %2!ar6'(

Ta/

a( If G

− /1

42

7 " G

−− .121

a$+ G

−:/A5

7 fi$+ the fo##oi$:

i( " %2 !ar6'(

ii( ; " ; %2 !ar6'(

iii( 2 . %2 !ar6'(


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( Eva#,ate a$+ fi$+ the va#,e for x a$+ y :

2 1 . 1 2 2 . 1B

2 1 2 2 . 1 5 1 1A

. 0 2 1 4 . A 22

x

y

− − ÷ ÷ ÷+ − − − = − − ÷ ÷ ÷ ÷ ÷ ÷−

% !ar6'(

c( *o#ve the e=,atio$' ,'i$ i$ver'e !atrice' !etho+)

2 x y - G1 x:2 y :. - G1


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. x 2 y 4 - G5 % !ar6'(

Ta/ =

a( Differe$tiate the fo##oi$ toar+' x

i( 2 0)5 .. 2 / . y x x x−= − + − %. !ar6'(


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ii( 2#$% . 2( y x x= − + %2 !ar6'(

iii(4 2 5 .

71 1

t t y x

t t

+ −= =

+ + %4 !ar6'(

iv( 2%. 1(co' 2 <

x

x y

e−+= %. !ar6'(

v( %'i$ co' (7 %co' 'i$ ( y a x aθ θ θ θ θ θ = − = + %4 !ar6'(


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( If 'ec y x= 7 3rove that22

4

2

d y dy y y

dx dx

= + ÷

%5 !ar6'(

c( Cive$4

% (1

x f x

x

+=

− ) Fi$+ :

i( the ra+ie$t at x;$. %. !ar6'( ii( the e=,atio$ of ta$e$t at the x G2) %2 !ar6'(+( $ a,to!oi#e !a$,fact,rer7 i$ te'ti$ a $e e$i$e o$ o$e of it' !o+e#'7 fo,$+ that the

efficie$c e of the e$i$e a' a f,$ctio$ of the '3ee+ s of the car a' ive$ .0)A/: 0)00004e s s= − ) &ere7 e i' ive$ i$ 3erce$t a$+ s i' ive$ i$ km


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?hat i' the !a


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i(2 0)5 . x x dx

x− +∫ %5 !ar6'(

ii( 2 A%. 5( x xdx+∫ %5 !ar6'(

iii(2

0

%5 1( x x e dx+∫ %5 !ar6'(


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iv(4

2

.

1

. 2

xdx

x x

+

− +∫ %5 !ar6'(

( Fi$+ the area of the fo##oi$ 'ha+e+ reio$)

x

y

y G 2 x ; x2


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%5 !ar6'(

c( Fi$+ the area o,$+e+ 2. 4 y x= + a$+ 1/ y = %5 !ar6'(


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In+ormat"on So'r#e:

Re#ommended boo/ :

1) re'8i7 E %200(7 +va$ce+ E$i$eeri$ Mathe!atic'7 Bth E+itio$7 ?i#e7 Koh$ *o$'I$cor3orate+)

2) *tro,+7 ) )7 "ooth7 D7 K7 %200A(7 E$i$eeri$ Mathe!atic'7 th E+itio$7 Mac!i##a$).) Ka!e'7C %2005(7 Mo+er$ E$i$eeri$ Mathe!atic'7 .r+ E+itio$7 Pre$tice &a##)

Intr'#t"on to St'dent :

%i( *,!it the or+ 3roce''e+ re3ort o$ 4 'i8e ith 12 fo$t a$+ +o,#e '3aci$)


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%ii( Nece''ar a$+ ',fficie$t ca#c,#atio$' a$+ 'te3' 'ho,#+ e 'tate+ to each 3ro#e!)%iii( *,!it o,r or6 efore or o$ 3,#i'he+ +ea+#i$e)%iv( No #ate ',!i''io$ i## e acce3te+)%v( P#aiari'! i' a$ aca+e!ic +i'ho$e't) *,!it o,r or6 i$ orii$a#) 0 !ar6 i## e

aar+e+ for a 3#aiari8e+ or6)

O't#ome @ Aement .app"n$


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No) Lear$i$O,tco!e'

''e''!e$tMetho+'

L O C 8

L O C :

L O C =

L O C 4

L O C &

L O C (

L O C -

2 r o $ r a m m e

O ' t # o m e

A A +

2 r o $ r a m

m e

O b ? e # t " ! e


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1 ''i$!e$t 1 2710 52 ''i$!e$t 2 2710 5. E

new assignment 2.doc

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