Calicut University 2004 B.Tech Applied Electronics and Instrumentation EN04 engineering mathematics 1&2 page 2 of 2 - Question Paper

<b) f) Slum that l a point <f t\w turfnct'. t*ft^$ *=*, whwc xy    U k#<yr) ¹

(8 Mrtf

5x)/

i m r-*

U n nuucimum t7 me

(tl) tf m * 8. find tSc? value of x.jM for which tr ~ *-- -⁷    i-f2>t4r

(tf murk

i itinvcrgtmt far jt < 1 wul divururnt for * 21

(XI (i'l Show tli.it

17 iimi

10 flair* jj

n*l| -fn    

Or

- t l i MX f

lb) Ii) l>icu* thu ftm%rrgcn of

r-t n"

C61 nwrU < 7 mark*

UiJ Flint ihe nfllorr iif tlw+ qtindratir fWrro iff + SUc* * Ihj i 1*3 * ^x2^lS

Of

tbt U) ItcshK* the c)u*ifratic form <1*3**    2yj 2** -3by *o tanon*oi forw b> ai

mthnftosMl tmnaforiimtion Examim* Ibr drtinllrnoss.

lift tnftfk.*

0, -<* <0 MIU, 05a < It

in Krturivr Sufink

U) (i)    I hr function fU I dtrfuwti by fix)

48 mark* (7 iiwiilw

(U) tv*ptu>d ft*)t* in Fourier HRrfc* fttr the ratttft* <0.2jt).

   Or

(b) CO Antly** harmonically tholimn pvon Maw nuU mpresajv in KmiriiirScntu upt<tlv iim Umtaiiir

x i _v0 xJ3 la/3 c ln/.l S*/3 2a y I M XM 17 IS 1*2 1

2 *

(7 tnark

<ii) Kind tlw Irnlfnm'nine ourfe* far.ft*)

3

4

:W

-<i

r - -

14 * IS 00 nutri

; 831

(Pnjfcs i 5t>

Nttmp..-Krfc. No

>MBINEU FIKST AND SECOND SKMKSTEK II.TECH < ENGINEERING* DEGREE EXAMINATION ILATEHAI. ENTRY* DEFICIENCY PAPER]

UKCKMRF.il 2007

Eojpnctnng Mnlhnmatic*

BN 04 1 D 1 MATHEMATICSI <2001 rtdnusflionfi) -[(Vmtittun to all branches]

Maximum 100 Murk*

Three lloin

Anta'tr all tftttmtionx,

Part A

a) Fuvd the radius of ninmttm* at the point (- 4,0) on tho curve xy* 16 U

lb) State Kiilirr'n llworem un hormwuwius fuiiirUfmii. Verify tin* Uicun'in fr * - *ir ¹ iwr ¹ [ytxl

(cl Dwtujtf llit' ninvifn,i'ncc of Ihn irir L |(.fr* 1J*^#3 ~n1.

II I

)    r⁵ r*

; f JJ Stum- thnt r *= 1 <  ^:---

(    2 H

il

2 3 ll G 7 *

10 II 1$

If 1 16 u,Si* t) * &i

1 *nd

1

&

V

13

i) Kiml tlm* runk of thr mutm

h and 2i+3y*4rf

<0 Shew that I hr tuAticn* j + (i) havr rm tulutbn fa f = c

(ii) have man* Moluttan* if a = - * c * I f 2

j) Obtain thr Fourier Mrio6 cxpntixiun affix) * X* tn -n < It,

r.

m a half tanKC Utuiirvr Mtrm

h) Ktjkimtl fitl

I i

2-f, 1 <t <2

(8 m ft * 40 nuirkjt)

Puri B

I

.) (I) Find ibr wwImu- of lb? mm nvtn hnr i a cos¹ fl, jr * mi^J 0 (ii) FIjkI the cvfllrt of curvnlufw of the curvu given by * 3f, y - i¹ 0.

Or

(8 mark*)

(7 mark*)

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