This is calculus 1 homework.Section 3.1
25, 27, 29, 31, 33, 37, 38, 39, 41, 42, 59, 61, 63, 65, 77, 78, 79, 80, 81, 82, 85, 86, 87, 88, 89, 90, 91
For each question you need to show your work and write a proof for each question.
The last picture is for the answers so they have to match with your answers.
YP —mgh = (my 91 XN xg =4"6L (o8rey st x uaym A[prdes a1out $mo13 (q) wed ur suonouny 0M) at JO YOIYM (0) ‘6 pue J 10 SE[NULIOJ UONRNUSISIIIP 91} aredwo)) i,X = (x)b pue 2 = (X) J are suonouny jo sad£1 1eyp (9) (autod jer Je aurp Juadue) ay) Jo odos Ay) STIEYA ‘sTxe-A Ata d=0AT eX + eX = (0) "LL ot ss5010 yded ay moy 0) uonUaNe xepnonted Surked ‘2 = (x) uonouny ay) Jo ydeid oy ‘puey £q ‘YINS (8) ‘T v? J T Et lt 1) ‘vl i= I A ’ “+ ip = (1s "€L hE — f= (2)4 -oL 081 = (WM '6 (2 JO an[eA 9Y) JNOqe P+ g=0d "8 2—=0f 'L opN[oU0d NOK UES TEA “S99¥[d [EUIIOAP 0M) 03 JO1I0D Y 0-7 Yy oy +x —x=("9 Cy x= (x)]'S wr pue aE oir ) SL (x) TC .87 I 1,07 Hr +IS=0)F6 vb L+ Y= (x)b 'g SHUI] 3) JO SAN[BA AY) SJBUINISS 0) IOJR[NO[EI © 3S() (Q) “uonouNy AY) AIRNUSII( YE-E (PaULAp 2 JoqUINU AY) ST MOH (B) °L sosSIDIoX] | L°E un (‘6 9mS1y 32S) (ZT ‘¢ ul) = (,2 ‘v) sturod paxmbar oy A10JoIYL, 6 34NOId cu =" =? ‘sadors Sunenby ‘g ‘st Jey) ‘odo[s Sues Sy) Su It [1X7 = 4 Ju 27 our JuaSue) SIT, -,2 St ured Jey) Je aur 1usS ue; 31 jo 2dofs oul ad Y &y zonsanb ur yurod oY) JO SRUIPIOOI-X OY) 10] 2 == ,& FABY OM *, 2 = A BJU NGILNTOS {XT = 4 aur at 0) [ofered oury Juasur) ay SI ,2 = 4 SAIN JY) UO wuiod eum Iv 6 I1dINVYXI om *SuIseaIoop S1 J pue 9ATeSau SI (X),/ ‘0 > X USYA "Sulsearout st / pue aanisod st (x), f ‘0 < x="" 10]="" “jet="" os[e="" 2non="" ‘0="(0)," 38u}="" 398]="" 2)="" 0)="" spuodsaliod="" si)="" {()="¥" uaym="" juste)="" [biuoz="" 8="" 34noid="" -110y="" ©="" sey="" jf="" jey}="" 9010n="" ‘8="" 2in3l]="" ur="" paydeis="" are="" ,="" j="" 9atjralisd="" sii="" pue="" j="" uonounj="" oy,="" xp="" gp="" lap="" fi="" 2="(Dr" 2)="" (a)="=" (1="" +2)="" p="®).f" cl="" an="" g'i—="" 0s="" ©,="" jo="" oatiealiop="" 9)="" sb="" qaibaliop="" puoiss="" oy)="" paulap="" dm="" °f="" unis="" uj="" qar="" 9m="" ‘q[ny="" duar="" ay}="" urs="" noilln10s="" .="" j="" pur="" j="" jo="" sydess="" ogy="" aredwod="" *,="" pu="" puy="" x="" —="" 2="(X)/" ji="" 8="" i1dwyx3="" (1,="" 2314="" 29s)="" jutod="" ay)="" jo="" a1euipi009-£="" ay)="" 01="" [enba="" st="" (,2="" ‘x)="" jurod="" ©="" je="" 2="«" qaind="" 2)="" 0)="" 2ul[="" jud3ue)="" ©="" jo="" odors="" ay)="" jey)="" st="" job]="" siu)="" jo="" jubdyiusis="" [rolnawoit="" ay],="" ‘oanealiop="" umo="" si="" s11="" jey)="" auedoxd="" ay="" sey="" 2="(x)/" uonouny="" renuauodxe="" ay="" sy,="" l181="" suonouny="" [ennuauodx3="" pue="" s|eiwoua|od="" jo="" siarrali]="" le="" noildas="" i="" imsup="" pue="" (001),="" pul]="" “s1)ow="" arenbs="" yp="" oo="" 1rd="" poinseouy="" sty="" droym="" ere="" wee="" wsovt88'0="(y)g" =="" tf="" i~}="" xh="" xt="" —="" x="(0)" ‘sp="" ‘o[qeuoseal="" st="" romsue="" nok="" kym="" urepdxs="" 0)="" wo="" asn="" pue="" |,="" pue="" f="" jo="" sydess="" ay="" aredwoy)="" (x),="" pur]="" op-sh="" wa="" oan="" ll="" cine="" nda="" de="" dl="" \44="" ‘1="" in="" —2="A" py="" c1)="" ‘x—="" xg="4(" "gp="" ip="" "u9aios="" qwies="" j)="" uo="" )="" suit="" juadue)="" ayy="" pue="" oad="" oy="" suryders="" aq="" a1ensnyyy="" jurod="" uoar3="" q)r[no[ed)="" ‘sibl="" ut="" \/="" pue="" sayour="" ui="" paanseau="" s1="" 7="" aroym="" 243="" 38="" 9am="" oy)="" 03="" oul]="" jusfue)="" sy)="" jo="" uonenbe="" ue="" pu]="" py-gp="" h="" jtomsue="" inoa="" jidroyur="" pue="" it="" 1+="" vs6'e="" +="" ,vzi€0="" ~="" ¢vssi00="17" 'v="" 938="" 18="" ysyyoor="" ueysepy="" jo="" 7="" 113ugy="" (dig="14" tp="" (t0)="" “2t+="" x="1p ay) [opowr 0 [erwoukjod orqno © pasodoid oaey s1s130j01g “Jurod u9AIS ay) JB 9AIND 9} 0} aul] [eULIOU pue dul] JuaSue) ay) Jo suonenbs pur] zy-Lp " uii="" dues="" oy)="" uo="" suotounj="" uotibid[aiie="" pue="" ‘aii00[aa="" ‘uonisod="" ay="" ydein="" (9)="" .="" x:="" §="" [="" 19je="" uoneis[adoe="" ay="" pur="" (q)="" o°)="" %—="" op="4£" ‘op="" £7="tr»" 6="" j="" jo="" suondunj="" se="" uonlis[a00="" pue="" aiid0[aa="" du)="" pur="" (®)="" c="" "spuojss="" ul="" si="" 7="" pue="" sisjow="" ut="" si="" §="" aidym="" (c0)="" “+="" .97="«" gg="" —="" j="" +="" jt="" —="" ,#="s" stoned="" ©="" jo="" uonou="" jo="" uonenbas="" ay,="" :="" (€1)="" th+="" x—xx="4"L¢" "0="" si="" ai100[3a="" u3="" uum="" tonris[a00r="" ay)="" (9)="" pue="" ‘s="" 7="" 13)="" uonebis[ad®="" of}="" (q)="" ‘jurod="" uoai3="" ‘7="" jo="" suonounj="" sb="" uonria[r208="" pul="" aii0[9a="" a}="" (b)="" ay="" jb="" qa.md="" 3)="" 03="" 2ui]="" juasue)="" ay)="" jo="" uonenba="" ue="" puny="" op-/le="" pul]="" 'spugiss="" ui="" st="" j="" pur="" sijow="" ul="" ses="" noul="" jo="" uonenba="" ayy,="" °€¢="" ri="" het="" be="" xj="" +="" x1="4" *g€="" x="" —="f" ts="" be="" xs="" —="" xt="(Nf" ‘1s="" it="" pue="" eh="" a)="" sydeis="" 3)="" surreduroo="" £q="" o[qeuoseal="" sie="" si9msue="" inoa="" jey)="" 99s="" 0)="" ee="" o="" c="" 25="" ‘wonouny="" ol}="" jo="" soaibaliop="" puodas="" pue="" isi]="" ous="" pur="" 2s="" av="" t+="" (4:2="Coa" dal="" ual="" x="" ‘1p/&p="" pue="" xp="" {p="" pur]="" 9€-s€="" —="" —="=" (md="" v0="" 00="" :="" (15)="" :="" :="®f" oy="" :="(a" c="" i="" er="" 207="" —="" af="" ns="" tor="" |="" os="" pue="" 151g="" oy)="" pull="" 0s-6y="" :="" een="(2)" dwo)="" gd="" +="" 1)="b)o" 2d="" +zg+v="" (="" )="a" "uonounj="" sy)="" jo="" soatibalisp="" puod="" '(q)="" 11ed="" ur="" yojeys="" mok="" ms="" et="" ©)="" ',b="" yde3="" 0)="" uorssoxdxa="" si)="" 3st="" nl="" ordurexg="" it=")" ye?="" +="" yx="(Of" ‘="" gnoie="" j="" :="" 0="" ‘puey="" aq="" goi="" u="" 1="(9" 93g)="" *="" 6="" jo="" ydeis="" ou="" 2="" uy="" ydeas="" ow="" suis="" (@="" gt="" 5h="0)0" ust="" +="" elf="" :="" ew="" ‘sadofs="" arewnse="" 0}="" (8)="" _]="" orgueoar="" wh="" toa="" 14aq="" [fl="" gy="" [1="" [878="" 5:="" gonounj="" ou="" ydesp="" (v)="" 8%="" oy="" :="" gl="" xe="" (0)="" (q)="" red="" ur="" yois="" nok="" im="" dred="" 0="" ©)="" xp="" x="" 4="" 2ye[10[*d="" +="" 2¢="«" "4="" ydeis="" oy="" uorssaxdxa="" sts="" os="" rd="" i="" opdurexd="" dur=")S" b="" gnole="" iy="" pre="" 2="" (6="" +="" x)ex="(OF" :="" doi="" oy}="" [(€="" —10)="Od" g="" sumora="" ogy="" ur="" xg="" —=""><2 =="" (¥)="" 93g)="" *,="" jo="" ydeis="" ou="" jo="" bis="" 2="" mew="" ‘sadoys="" apewmse="" 03="" (8)="" hec="" aummora="" au="" 2="" ca="" nt="=" (x)6="" tos="" ‘o1—14q="" [5="" ‘€—]="" ol="" 9="" g8="" bo="" te="" x="F057" 0="" 1v="" [1="" 0€="" +="" xl="" +="" ¢x9="" —="" ¢="" yde1d="" (®)="" a="" oy)="" uonounj="" ou="" sa|ny="" uonenuaiayld="" €="" ¥yaldvhd="" z8l="" ‘[eaioiut="" ay}="" jo="" yurodpruw="" ay="" je="" durf="" juasue)="" ay)="" jo="" adofs="" ayy="" spenba="" [bd]="" [eaiul="" aue="" jo="" syutodpud="" at="" je="" rjoqered="" ai)="" 03="" saul]="" ues="" -ue)="" 9)="" jo="" sadofs="" ay)="" jo="" 9feioa.="" uy)="" try)="" ja0i]="" “gjoqeed="" e="" st="" 0="" 4="" xq="" 4="" xv="(X)J" uonouny="" oneipenb="" aue="" jo="" ydeis="" oy],="" ‘v8="" i,="&ejoqured" ay="" 0)="" juasd="" -ue)="" si="" ¢="" 4="" xg="£" oul[="" ay)="" by)="" yons="" 2="" jo="" dn[ea="" ay)="" stibym,="" "eb="" xpd="£" 9aind="" jy}="" 0)="" juogue)="" s19="" +="" xt="" —="" £="" our]="" 9)="" jey)="" yons="" 2="" jo="" anfea="" ay)="" pul="" ‘z8="" (7="x" uum="" xp="£" ejoqured="" oy="" 01juadue)="" ¢="" —="" £="" +="" xt="" 9ui[="" ay)="" si="" g="" pub="" d="" jo="" sinjba="" jeym="" 10]="" °l8="" "p="" pub="" ‘0="" ‘q="" ‘d="" jo="" sanba="" a)="" puly="" "xg="" —="" 7="&" uonenbd="" yum="" |="x" udym="" aul="" juague)="" ©="" pue="" |="" +="" xg="£" uonenbo="" pim="" ()="X" uum="" sui]="" juague)="" rsrup="" +="" x20="" +="" ,xq="" +="" xd="" 4="" x="LAO" jy)="" asoddng="" ‘08="" 7="" —="" xg="«" uonenba="" sey="" (]="" 1)="" je="" dul="" juogue)="" asoym="" xq="" +="" xp="&" uonenbo="" yim="" ejoqered="" oy)="" pur="" ‘64="" i="" pur="" y="" jo="" sydeis="" ay)="" yoions="" pue="" i="" 10]="" b[nulioy="" b="" 9ald="" (iie="" -nuatpp="" [7="" +="" x|="" +="" |="" 1="" —="" x|="(x)y" uonouny="" oy="" st="" aiuym="" ‘8l="" +="" 4="" pue="" j="" jo="" sydeid="" ayy="" yaays="" (9)="" +,="" j="" 10j="" b[nulio]="" ©="" pul]="" (s]qrnuriaiild="" |6="" —="" x|="(x)" uonouny="" yy="" six="" jo="" sinila="" jeym="" 101]="" +="" 6="" pue="" 6="" jo="" sydei3="" ayy="" yorys="" pue="" |b="" 10]="" rtuulio]="" ©="" 4:1="x" y-i7="" i="">X>0 0 X—X7 p=) 0s XJ xT {Q[qeNUAIIP B uonouny SUIMO[[0} ay) ST S1qUnU UM IY 9L + J pue J jo sydeis ayy YoIS {I J A[qBHUSISHIP £1 2 Xda] 4X peas — (x) LXE ali * 1°71 "SL “(S17 “g) yurod a ydnoiy sessed pue ‘J — = X Je 8— odogs ‘1 = x 1e {7 2do[s seq Ieq O + Xq + x0 = & uonenba yim e[oqered e pul ‘pL “(0 7) pue (9 ‘T-) syutod oy) Je SIFU) [BIUOZLIOY Sey ydeid oSOUM P + XD + Xq + Xp» = £Uonouny oIqnd © pul "EL (6 11dey) UI [1BI9P UL PAIPMS 3q [IM suonenba [enuaISy -jiq) “uonenba sty) SAYSNES J + XF + xy = £ uonounj oy) jer) yons J pue ‘g ‘y SiueIsuod pul *,& pue £ SoAnBALIOD ONOUN} UAOUUN UE SIAJOAUL Jf SNE uonenbd sy pue £ u x = Ag — £& + ,Kuonenbaoyy, ‘TL [eIUAIIJIP PRIIED St ‘T= [@).d Pur‘ = (0).d ‘¢ — (7)d ey yons d [erwou£ od 92I59P-pu0das © put LL x/1 = ®)J @ X= Sf (©) *SIN220 JBL) wroned ay) SurAIasqO pue SOATIBALIOD M3] ISI ay Sune[naed £q uonounj yor? Jo QATIBALIDP [IU 9Y) PUL] *0L suonouny jenuauodx3 pue 5|eILOUA|Od JO SaAIIRALIRC £€8lL (‘[— = used ap) 10 [NY Jomo AY soaoxd sip) X/1— = (%), J ua */1= (¥) J Jue) mous 03 QATJEALISP EB JO UONIUYIP oY) 3S) ‘69 “Kym 99s 0) wWRISeIp B MEIP USYL -gjoqeted ay) 0 juague) st Jey (£ 7) yutod oy) ySnoiyy dur] OU ST IU EL moys (q) YX + x= ejoqered ay) 01 juagdue) aI1e Jey) (g— 7) yurod oy y3noxy saul y1oq Jo suonenba pur (8) '89 -gjoqeted ay) 309s1ul sour] Juague) 2SaY) AIYM sjutod ay) JO SAIBUIPIOOD IY) PUL] ‘(— 0) yutod ou y3noxy ssed je) x = « eroqered ay) 0} Soul] JUASUE) OM] SIE AIA) Jer) MOUS 0} weideIp © MBI ‘£9 “YoIS © YIM Jen) -SN{[[ {WI} PUOIDS © ejoqeaed oy) 199s1UI (0 ‘1 —) jurod ay) Bl=,r=4 gjoqered ay) 0) QUI] [EULIOU JY) SOP 2IYM "99 ‘1 = £ + xg auI[ day 0} [orrered st ey) Xp = £ 9AIND AU) 0} UI] [EULIOU 3) JO uonenbo ue puny ‘69 ‘SUI 30g pue 2AIND 3) gurydeid Aq a30SN{[] (S = £ — xg aul] 9Y} 0) [orrered auf uodue) oy) SIXE — ,2C + | = £ aano ay) uo jurod 1eyMm I Sl =4_x¢ aur) ou 03 [offered pue ¢ — X¢ + X¢ — X= A 9AIND a 0 SUE] (30Q JIB 1BY) SAUL] OM] 10] suonenbs pur *€9 Sf = 4 xg eur oy) 0 [fered pue | + X= « 57 pei aur] oy) Jo uonenbs ue pul ‘9 . . TEST 3 TA TY 2ASNS DG) 1 2aD8LT TIO {i "7 2do[s ym aul] AG + XC + ,27 = £ 9AIND 3Y) Jey) MOYS °L9 (3uague) [BIUOZLIOY © OABU X7 — 2 = (x) Jo ydeid oy) sa0p x JO InfeA JeyMm Io] ‘09 ‘[e1uoZLIOY ST Juadue) AY) IYM 0 + X6 — XE + (Xx = £9Aamd ay) uo syutod oy) pul ‘6S {,SOATIBALIOP J) JO Su3Ts A) JO 20UBOGIUSIS 3) SI JBYAA (SHUN 3) SI JBYM (OATIBALISP 91) JO SurueoW 9) SI IBYM ‘Of = J UUM PUB Og = J UUM Jp/ Tp S1BWnS? 0) [opow a3 3s) (q) -armnssaxd ay) Jo uonouny oneipenb © [JIA QJ] S11) [pow 0) 1oIndwod 10 J0je[noed as) (8) (ut/q[ ur) 4 samssaid snotrea Je 21m jo 9d4) ure) -190 © JOJ (SS[IU JO2>