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

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>MBINEU FIRST AND SECOND SEMESTER II.TECH < ENGINEERING* DEGREE EXAMINATION ILATERAI. ENTRY* DEFICIENCY PAPER]

UECEMRF.il 2007

Eojpnctnng Mnlhttmatic*

BN 04 1 D 1 MATHEMATICSI

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Maximum 100 Murk*

Three Routs

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 fwiirUfmii. Verify tin* Uicun'in fr * - *in ¹ iwr ¹ [ytxl

(cl Dwtujtf itif 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 wdutbn tfa 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

.) <0 Find ibr wwImu- of lb? mm |tvtn hnr i a cos¹ fl, jr mui^J 0,

(ll) Find the cvolrt of curvnlufw of the curvu given by % m 3f, y =, t¹ 4i.

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<8 mark*)

(7 mark*)

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