Assignment 11

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Straighterline *

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250

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Mathematics

Date

Nov 24, 2024

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5

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NomeoTonna Belasce Gourse8 MAC 2312 Ppessors On Coeorae kapkoulis SID 63bl624 |Dote o3lo1l209 |Assignmint#i| ArcLenath Rrobem I1.8 ) cx)=lncsinx))i [ J isin ² x +cos ² = q'x) sin + cot? x Cot dx JI+(e) dx 34 dz = lcscx -cot) Jise' R4 Problem I-8 Pex)= o3 Sinx tanX Sin? e Arcleng tan (/3 Aan?x dx Jsec?y dx /3 se yzJx =lallsecx+ tanxl) |: nla + J3 Created with Scanner Pro
3)x)= 3le+e): [os] 2x -23 - Anclengh= dx 2 -2e ) etete -e )= (e -y (e+)(e-) 2e (e) -| +(e'x)) + 4 Te2x-1) Anc) penc3) AclangfJ(o) hca lhc) e inc) dx nca) ths tan(v(x)v'), tan ² (vc)) 4 -de cot (Vc)v'«) dx (e)1 gec'(vex) -I =tan(vcx)) Seecv))tenux)v'x) Seccvcx) tan (vex))Vc) Created with Scanner Pro
Prololem l.8 Part 4 conthued. Cos (Z) Sin (z) d VCc) Sin () enl sincx)l vcx) Vex)=Aresec Ce) t lo, 2 = nsin(v(oc)) - lsin(Arcsee (e)) nc3) |Arelangtf- 2lalee- + llsin (Arcseele)) nc) ah3) 2tnta - lnle +lsia (ArEses - -| lnlsinAresec(a) a ) + LlnsineAresec (3)))- nlsincarsec a)| Created with Scanner Pro
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Polem .8 4 , s)fea) + 4x LL3] P)- 3 Arcangk E fat .42/4 Problem IL9 -SGu)- (H- (3) s) (o,3) tN (2,J5) tandad çoram. (t) 3cos(t) xt,) = 3cos(t;) yG,) > 3sin(de) i yt)=35in4) to t, lo, 1 ian(to) J = 2 )to =Aneton Ardent x+)= -3in + u'a) - 3os? Ja'a)t +(q2) dt to 4sint + cos>* t 3lt -to) -3(h - Aretan(2)) Created with Scanner Pro
(-3,4) (4,3) holalem Il.10 t y25=5"(3,4)(4,3) Shandard perray. Sco t 53int yt)e xto) 5coslt)=4 y (t) 5 Sin(tb])= 3 =>ten (46) = 4 =) to =Are tanl4) x (a)=Scos(t) : -3 $ain (t) 4 ti tanct)=-3 t=-Aritan('3) t |Arelenath dt x')=-Ssint |D5sint t25Lo' d 5(t - ao) 5(7- Arctan (%) -Anctan(4)) Created with Scanner Pro