b. com. questions paper 2009 2016

34
Year Paper - [C. U. ] B . Com. III year Advance Business Mathematics 8584992992

Upload: ravi-kumar

Post on 13-Apr-2017

43 views

Category:

Education


3 download

TRANSCRIPT

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

8584992992

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

8584992992

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299285849929923

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

85849929924

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

85849929925

2016

ADVANCED BUSINESS MATHEMATICS – HONOURS

Sixth Paper

Full Marks – 50

The figures in the margin indicate full marks

Candidates are required to give their answers in their own words as far as practicable.

Group –A

. )( Evaluate . 5.0)( and 3.0)( with eventst independen twoare and If

).( of value thefind , 4

1)( and

3

1)( ,

2

1 If (e)

. and of value thefind equal are 5 3

5 1 and

5

1 3 If (d)

.4 when d

Find

.53 of derivative thefind definition Using(c)

. )2()(2 is of aluefor what v ,432 If (b)

.1

function theof definition ofdomain theFind

answer.your for reasons Give ? When .2

4 and 2Given (a)

2

2

2

2

2

2

BAPBPAPBA

BAPBAPBPAP

yxyx

xB

y

xA

axydx

y

x

xfxfxxxxf

x

xxf

xgxfx

xxgxxf

c

: questions following the Answer 1.

Or

Or

Or

2016

5 2

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

85849929926

Group – B

Or

Or

6

6

6

6

2016

4

32

723

: methodmatrix by equations following theSolve (d)

. 0

that show , 0 If

22

22

22

that Show (c)

0. that show Hence . that show , If (b)

cost? marginal toequal is

costat which output theFind .3

110300 Rs. ofcost totalaat output of units produces firmA

numbers. thefind greatest, isnumber theofproduct the

If number. second the twiceisnumber theseoffirst and 180 is sum egiven whos are numbers Three (a)

222

3

2

2

32

zyx

zyx

zyx

yxxzzy

zyx

zyx

zyx

cba

ccbac

acbba

acbaa

dx

yd

x

y

dx

dyyxyx

xxxx

nmnm

: followings the Answer 2.

6

6

Or

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

85849929927

. 1513

1 lim (ii) ,

5

73 lim (i)

: following theEvaluate (e)

. 3order ofmatrix unit theis where

, 23 such that find then and , that show ,

5 3 1-

5- 3- 1

5 3 1-

If

. 4

32

723

: methodmatrix by equations following theSolve (d)

2

123

24

22

xx

x

xx

xx

I

IQPPQPPP

zyx

zyx

zyx

xx

Or

6

6

3+3

2016

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

85849929928

. 1

)82( (ii)

3252 (i)

:oneany Evaluate )b(

black. is one and whiteis oney that probabilit thefind bag,each fromdrawn is ball one If

balls.black 5 and white3 contains bagAnother balls.black 2 and white4 contains bag One

committee. in themajority a bemay ladies that the

yprobabilit theFind ladies. 4 andmen 6 from formed be tois members 5 of committeeA )a(

: followings Answer the .3

2dx

xx

x

xx

dx

Group – C

Or6

6

4

2016

* * *

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

85849929929

2015

ADVANCED BUSINESS MATHEMATICS – HONOURS

Sixth Paper

Full Marks – 50

The figures in the margin indicate full marks

Candidates are required to give their answers in their own words as far as practicable.

Group –A

12. when for solve ,836152 If

. of principlefirst by the derivative theFind (e)

.

3

0

2

and 023 where Find (d)

. find then 2

1 and

5

2 ,

4

1 If

1 ii ;0 i

results following thefrom drawyou can conclusion what , and events For two (c)

273

672

function following theof definition ofdomain theFind (b)

.2 of value thefind , 2352 If

.1 that show then , If (a)

23

2

2

2

2

dx

dyxxxxy

x

BAAB

BAPBAPBPAP

BAPBAP

BA

xx

xx

xfxxxf

yfyfxxxf

: questions following the Answer 1.

Or

Or

Or

2015

5 2

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299210

Group – B

Or

Or

3+3

6

6

2015

14923

742

632

: rule sCramer'by Solve

.222

1

1

1

that Show (c)

. find Hence 3.order ofmatrix

identity theis andmatrix Null zero theis where,23that verify ,

200

422

201

If

3.order ofmatrix

Null zero theis where, that show ,

531

531

531

and

431

541

532

If (b)

321

65lim ii ,

2

37lim i

: following theEvaluate (a)

2

2

2

1

2

2

2

2

zyx

zyx

zyx

yxzxzyzyx

xzxz

zyzy

yxyx

A

IOOIAAA

OOBAABBA

xx

x

x

x

xx

: followings the Answer 2.

6

6

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299211

Group – B

Or

3

6

2015

minima? respectivetheir attain cost variableaverage andcost marginal thewilloutput of levelAt what

.510510

1 where Rs. ofcost totalaat output of tonnes produces firmA

value.minimum its than less is 364

of valuemaximum that theshow ,2 If (e)

.0 that show then ,1

2 and

1

1 If ii

. that show then ,4 and 14 If i (d)

23

2

2

xxxCCx

yxzyx

dx

yd

t

ty

t

tx

x

y

dx

dye xye xyxy

3

6

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299212

?colour same of same of

aredrawn balls twoy that theprobabilit theis What made. is ball a of draw second a then and

treplacemen with bag thefromdrawn is ball One balls.black 4 and white5 contains bagA

? Sundays 53contain willdays 366year -leap ay that probabilit theis What )b(

11 (ii)

34

22 (i)

:oneany Evaluate )a(

: followings Answer the .3

2

xx

dx

xx

dxx

Group – C

4

6

6

2015

* * *

Or

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299213

2014

ADVANCED BUSINESS MATHEMATICS – HONOURS

Sixth Paper

Full Marks – 50

The figures in the margin indicate full marks

Candidates are required to give their answers in their own words as far as practicable.

Group –A

dxxx

dxx

x

AA

ABBABA

xxxxf

uy

uy

x

ux

yx

yxu

axydx

dy

xfxf

abx

baxxf

43 Evaluate

2

2 Evaluate (e)

.

2

3

2

121

that show ,21

43matrix aFor

. that prove 11

21 and

43

12 matrices For two (d)

interval.any in function increasingan is 12364function that theProve

that prove , If (c)

. where, Find (b)

.11

that prove then , If (a)

32

2

1

23

22

22

2

: questions following the Answer 1.

Or

Or

2014

5 2

Or

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299214

Group – B

Or

3+3

6

6

2014

.33 ; 872 ; 53

: rule sCramer'by Solve (e)

0.

111

111

111

where of value theFind

3.order ofmatrix identity theis and

matrix Null zero theis where,23 that verify ,

200

422

201

If (d)

maximum. isproduct their that so parts in two 20 Divide (c)

.01 that prove then ,1log If

. that show then ,4 and 1 4 If (b)

2

37lim ii ,

54

27lim i

32

152lim ii ,

4

5232lim i

: following theEvaluate (a)

2

2

222

263

3

2

2

30

zyxzyxzyx

x

x

x

x

I

OOIAAA

dx

dy

dx

ydx xxy

x

y

dx

dye xye

x

x

xx

xx

xx

xx

x

xx

xyxy

xx

xx

: followings the Answer 2.

6

6

Or

Or

6

3+3

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299215

12log4log

: Evaluate )e(

2

xxx

dx

Group – C

2014

* * *

axis. and ,513by bounded area theFind )d(

. that show , If )c(

log1 (ii)

151 (i)

: Evaluate )b(

.3 find ,1233 If )a(

: followings Answer the .3

2e

0 2

2

xxxy

bfafbafba

bxa

ab

axbxf

xx

dx

xx

xdx

xfxxxf

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299216

2013

ADVANCED BUSINESS MATHEMATICS – HONOURS

Sixth Paper

Full Marks – 50

The figures in the margin indicate full marks

Candidates are required to give their answers in their own words as far as practicable.

Group –A

. that prove then ,32

10 If

. that show ,11

11 and

11

11 If (e)

43 ii ,23

i

Evaluate (d)

.12in decreases 113464 that Show (c)

.2 that prove , If (b)

.12 when for solve ,836152 If

.0 ,1

find ,1

1 If (a)

23

23

222

23

AAA

OBABA

dxxxxdxx

x

xxxx

uz

uz

y

uy

x

uxzyxu

dx

dyxxxxy

xx

ffx

xxf

TT

: questions following the Answer 1.

Or

2013

5 2

Or

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299217

Group – B

Or

6

3+3

3+3

2013

.whether verify ,

413

101

312

and

113

321

210

matrix theIf (e)

value.maximum itsan greater th is 1

of valueminimum that theProve (d)

. that prove , If

.0 that prove , If (c)

11lim ii ,

23

65lim i

4

23lim ii ,

41

3lim i

: following theEvaluate (b)

.111

1

111

111

111

that Prove

.33 ; 432 ; 42

: rule sCramer'by Solve (a)

3

3

2

2

2

2

2

02

2

1

3

2

3

BAABBA

xx

x

y

dx

dy yxyx

ymdx

ydbeaey

x

x

xx

xx

xx

xx

xx

x

cbaabc

c

b

a

zyxzyxzyx

nmnm

mxmx

xx

xx

: followings the Answer 2.

6

6

Or

Or

6

6

6

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299218

Group – C

2013

* * *

.44 curves by the boundedregion theof area theFind )c(

21 : Evaluate )b(

.1 that prove , If )a( 4.

.log

1

log

1 (ii)

121

15 (i)

: Evaluate )b(

.11

that show ,1

1 If )a(

: followings Answer the .3

22

2

e

2 22

2

xyx

xx

dx

yfyfxxxf

dxxx

dxxx

x

xy

yx

yfxf

yfxf

x

xxf

ee

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299219

2012

ADVANCED BUSINESS MATHEMATICS – HONOURS

Sixth Paper

Full Marks – 50

The figures in the margin indicate full marks

Candidates are required to give their answers in their own words as far as practicable.

Group –A

. find ,321 and ,

3

2

1

If

. of value thefind ,50

45 and

20

22 If (e)

1

53 ii ,

1 i

Evaluate (d)

. of points stationary thefind ,10243 If (c)

.function for the theoremsEuler'Verify (b)

. find then ,235log If

.1 find ,5233 If (a)

3

22

23

22

33

2

2

BAAA

ABABA

dxx

xdx

x

x

xfxxxxf

yx

yxxf

dx

dyxxy

xfxxxf

: questions following the Answer 1.

Or

2012

5 2

Or

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299220

Group – B

Or

6

3+3

3+3

2012

matrix.identity 3 3 a is where,54equation esatisfy th ,

122

212

221

matrix that theShow (e)

maximum. isprofit that theso Find produced. units ofnumber theis where,28500 isfunction

cost The .4300by given is producesit that all sellcan company aat which unit per price The (d)

.0 that prove ,log If

.11 if , Find (c)

4

6lim ii ,

742

356lim i

9

9lim ii ,

3121lim i

: following theEvaluate (b)

.0

111

that show 0 If

.62 ; 43 ; 32

: equationslinear of system following theRule, sCramer'by Solve (a)

2

2

22222

2

2

23

23

90

333

IOIAAA

xxxxC

xxPxP

dx

dy

dx

ydax axxy

yxdx

dy

x

xx

xx

xx

x

x

x

xx

zyx

zyxzyx

zyxzyxzyx

xy

xx

xx

: followings the Answer 2.

6

6

Or

Or

6

6

6

1 find Hence A

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299221

Group – C

2012

* * *

. line theand 16 curves by the boundedregion theof area theFind )c(

251 : Evaluate )b(

. that show , If )a( 4.

1log (ii) log1

log (i)

: Evaluate )b(

.11

that prove , If )a(

: followings Answer the .3

2

2

xyyx

xx

xdx

xyfacx

baxxfy

dxxxx

edx

x

x

xfxf

abx

baxxf

x

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299222

2011

ADVANCED BUSINESS MATHEMATICS – HONOURS

Sixth Paper

Full Marks – 50

The figures in the margin indicate full marks

Candidates are required to give their answers in their own words as far as practicable.

Group –A

27

13 2

4 55 33 2

2

2

i

Evaluate (e)

1632 if , Find (d)

. and find ,01

132 and

49

753

. find 14

61 If (c)

.5 and 3 find , If (b)

.34

1 of definition ofdomain theFind

. that show ,2 If (a)

x

dx

xxxydx

dy

BABABA

AA

ffxxxf

xxxf

bfafbafxf x

: questions following the Answer 1.

Or

2011

5 2

Or

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299223

Group – B

2011

. find , If (ii)

.302for Find (i) (d)

.5 principlefirst from Find (ii)

23

: Evaluate (i) (c)

. if , Find (ii)

.12132302

: Rule sCramer'by Solve (i) (b)

.

1

1

1

expansion without Prove (ii)

.

210

113

321

of inverse theFind (i) (a)

4223

2

23

1

3

52

4

3

2

2

2

2

2

yfyqpx

dqxxf

xyyyxyxdx

dy

xxdx

dy

dxxx

x

ydxcxx

bax

dx

yd

cba ; cb ; acba

prqpqr

rr

qq

pp

: followings the Answer 2.

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299224

Group – C

2011

* * *

.16 and 16between bounded area theFind )b(

162

32 : Evaluate )a( 4.

0. when for Find )b(

. that prove ,123

312 and

12

20

11

If (ii)

.369

of valuesminimum and maximum thefind ;3Given (i) )a(

: followings Answer the .3

22

5

32

T

yxxy

xx

dxx

axaydx

dy

ABABBA

yxyx

ax

TT

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299225

2010

ADVANCED BUSINESS MATHEMATICS – HONOURS

Sixth Paper

Full Marks – 50

The figures in the margin indicate full marks

Candidates are required to give their answers in their own words as far as practicable.

Group –A

. of value thefind 1, If (e)

and when , Find (d)

1

: Evaluate (c)

.3 of value thefind ,412

320 and ,

541

367 If (b)

1 that prove , If

11

that prove , If (a)

2

2

2

2

2

dx

dy

b

y

a

x

t

ayatx

dx

dy

dxx

x

ABBA

hfhfxxxf

xfxf

abx

baxxf

: questions following the Answer 1.

Or

2010

5 2

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299226

Group – B

2010

.01 that prove ,1log If (e)

. that prove then If (d)

curve.given theis 342 when 2 3,at inflexion ofpoint a has curve the whether Examine (ii)

.1

for valueminimum than theless is valuemaximum that theShow (i) (c)

.2

2

2

2

expanding)(without that Show (b)

343

932

822

equations of system thesolve hence and

413

321

212

of inverse theFind (a)

2

222

5

3

3

3

dx

dyx

dx

ydxxxy

x

y

dx

dyyxyx

xy

xx

cba

bacac

bacbc

bacba

zyx

zyx

zyx

nmnm

: followings the Answer 2.

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299227

Group – C

2010

* * *

2.order ofmatrix identity an is where,34 that show then ,21

12 If )b(

.0

111

111

111

when of value theSolve (ii)

.4 and 4

curves by the bounded area theFind (i) )a(

: followings Answer the .3

2

22

IOIAAA

x

x

x

x

yxxy

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299228

2009

ADVANCED BUSINESS MATHEMATICS – HONOURS

Sixth Paper

Full Marks – 50

The figures in the margin indicate full marks

Candidates are required to give their answers in their own words as far as practicable.

Group –A

.1

of value theFind (e)

1

1

1

1

1

1

that Show (d)

.1

that prove then ,log If (c)

?exist lim Does

0 ,32

0 ,23 as defined is function The

.0 while1

find ,1

1 If (b)

12function theof definition ofdomain Findthe (a)

2

03

2

2

2

2

22

22

0

2

dxx

x

zz

yy

xx

xyz

zxy

yzx

axdx

dyaxxy

xf

xx

xxxfxf

xx

fx

xxf

xxxf

x

: questions following the Answer 1.

Or

2009

5 2

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299229

Group – B

2009

nnnn

dxxfxfe

y

uy

x

ux

yx

yxu

zyxzyxzyx

cba

cbcca

bcbab

acaba

ab

ac

bc

n

x

2

1...

22

1

21

1lim : Evaluate (e)

' : Evaluate (d)

.1 that prove ,log

:function shomogeneoufor theoremsEuler' Using(c)

.14723 ,22 ,4

: rule sCramer'by equations following theShow (b)

.4

prove hence and

0

0

0

: Evaluate

274

732

421

321

512

05

42

23

:matrix single ain following theExpress (a)

22

33

222

2

2

2

: followings the Answer 2.

Or

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299230

Group – C

2009

* * *

. and of value thefind , 42

lim If (iii)

annually. 5% compounded beinginterest of rate thehence, years 7 commence toannumper

79.20 Rs. ofy aperpetuitor years 10for last to150 Rs. ofannuity an :option better is Which (ii)

function.cost theof range and definition ofdomain

theFind per week. units 600 oflimit capacity a hasfactory The . 12500equation

by thegiven output weekly its offunction a isper week factory a of cost totalThe (i) )b(

1

1 that show ,11 If (iii)

0.at of value thefind Hence .1 that prove ,1 If (ii)

values.minimum and maximum the

down Writeminimum.or maximum a has 1function the, of aluesfor what v Find (i) )a(

: oneany followings Answer the .3

2

2

2

2

22

2

2

1

222

32

bax

bax

QC

QC

x

y

dx

dyyxayx

xyymxyyxxxy

xxx

x

m

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

8584992992

The answers of these sets of year-questions will be available at download links soon.

Additional set of illustrations and problems will bePublished shortly.

Any error if found, please Whatsapp (8584992992)for instantly correction .

312009 - 2016

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

8584992992

For Download Links

www.eblackboard.co.in

www.facebook.com/eblackboard

www.slideshare.net/eblackboard

www.youtube.com/eblackboard

322009 - 2016

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299233

2009 - 2016

Year Paper -[C. U.]

B. Com. III year

Advance Business Mathematics

858499299234

2009 - 2016