This is calculus 1 homework.
Section 3.5
11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 39, 41, 49, 50, 51
For each question you need to show your work and write a proof for each question.
The answers have to be handwritten and you have to put my name on the top left corner of the first page as Zack Aldawoody.
You have to combine all the answers in one PDF file.
The last picture is for the answers so they have to match with your answers.
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jed jo moa ui ©) 1 99s nok jem ‘sano up 10ld @ 1dxo juague) aue j 4(#) 31ed ur punoy nok wt oy) oqe aes noa ued eum (@ 1501109 24) an01g gas nok op jeu (®) red ut 2 £4 x 2x ) 0) oul] juss ue) 2} jo uonenba ue purj 0=1 +z g[oqiaday ay uonenud! opp hondunt 50. pney j, puy 0) so[ny uonenuaiayia € ¥ildvhd 912 « . s09 ‘lb (“p)/1 l "6c £ urs x, uis 4 x $09 £809 at + xg — ax a) x=4 fe = 4x9 = ex 4 xt x sc xx — l (cp? — oo) 2 ax 24 5 «2c o aus + (€ + x) sod ig sma@enw xuis + (4 + x) soo x + at + xp + xg 47 + 0)x weren)® (lh 2g —= l (£ + xo)xt ert mi-1= ly (xp -)=c@ mep = al (0) ll f x6)¢e q(¢ a€ fee cl r= a) al @) oy . 00 (®) 1 plz 3i9vyd m s°€ sasidyixt i — £ +x) 43 € + xpxg — ag — xx s09 = a *6l xuis £ + xg furs — ¢ b= le bp xs0d — juswaoe[dsip 01 302dsax yim ayio0[2a jo sfuryd jo 181 ay) si sp/ap sawn 01 303dsa1 yim ki100[aa jo 23uryd jo sje1 oy) st ip/ap ‘gg urw/(ip/8) 0€000°0 (© wrw/(7ip/3) sl000°0 (b) le si z (lt wsc] — ile sod ut), 0, ot = (1)a gg $95[219x3 palaquwnnn-ppo 0) siamsuy h xian3ddy v8 ne jue lf ap go (12601)509 2% = (1) 53 91°0 (@ xz s00 0cc— 96 ‘61 01 ®), fs? ee (*).d @ (+2), fx? = (x), (®) (p07) i gei@ of (®) ‘69 17 tedeyur ue u (1 — ‘ug + (¢/l€)) (€ “lug + (7/1) x —p = _@./ © xc —c | +xi=4(e) "19 i + x(gup) =a ls ye(xs00)p bt x,500 + | vie or ws (9g wis)uis (gg u1s)6 + (he uis)s0d (9¢)509 6— = ,& ‘(gg uis)urs gg sod ¢— = a *€§ (ce uey)uis m7 (xl uey) urs murs (x12) 09s (xl uby)soo l i f(t = (ps00e) (xys00€ (uis (€ ut) x§— = ,£ "6f (0us?(¢x)309 (x)uis xy = (x),4 “ly sod — (x),f : = al 's§ = £18 x at (1 + 20500 (1 + x)uts xp = i+ 1 dar = osdrre="" ay)="" 03="" au]="" [ewiou="" 9}="" orrered="" uonenud="" }="" moys="" pue="" spex="" ol="" j="" "soxe="" 2euipi0d="" oy="" 0)="" te="" st="" ey)="" losde="" 1="" our]="" juague)="" aue="" 1b)="" x="" uonenbo="" ul="" 9="" 5="" 0="" [enba="" st="" on="Ap" +="" x/moamd="" oy)="" 0)="" our|="" 0="" s3deo1ojui-a="" pue="" -x="" ay)="" jo="" wins="" ay}="" jey)="" moys="" (04="" “0x)="" yurod="" ayn="" 1e="" *ie="" sutod="" soy="" je="" sour]="" judsue)="" ey="" $3850.19="" asdire="" st="" yotya="" jb="" syurod="" oy}="" pul="" 0="" 0)="" [o[ered="" jou="" ore="" sexu="" soya="" osdr[[e="" ue="" pajelol,="" ©="" sjuasardal="" ¢="S4" ax="" —="" (="" 0="" uoiss?="" jed="" jo="" moa="" ui="" ©)="" 1="" 99s="" nok="" jem="" ‘sano="" up="" 10ld="" @="" 1dxo="" juague)="" aue="" j="" 4(#)="" 31ed="" ur="" punoy="" nok="" wt="" oy)="" oqe="" aes="" noa="" ued="" eum="" (@="" 1501109="" 24)="" an01g="" gas="" nok="" op="" jeu="" (®)="" red="" ut="" 2="" £4="" x="" 2x="" )="" 0)="" oul]="" juss="" ue)="" 2}="" jo="" uonenba="" ue="" purj="" 0="1" +z="" g[oqiaday="" ay="" uonenud!="" opp="" hondunt="" 50.="" pney="" j,="" puy="" 0)="" so[ny="" uonenuaiayia="" €="" ¥ildvhd="" 912="" «="" .="" s09="" ‘lb="" (“p)/1="" l="" "6c="" £="" urs="" x,="" uis="" 4="" x="" $09="" £809="" at="" +="" xg="" —="" ax="" a)="" x="4" fe="4x9" =="" ex="" 4="" xt="" x="" sc="" xx="" —="" l="" (cp?="" —="" oo)="" 2="" ax="" 24="" 5="" «2c="" o="" aus="" +="" (€="" +="" x)="" sod="" ig="" sma@enw="" xuis="" +="" (4="" +="" x)="" soo="" x="" +="" at="" +="" xp="" +="" xg="" 47="" +="" 0)x="" weren)®="" (lh="" 2g="" —="L" (£="" +="" xo)xt="" ert="" mi-1="LY" (xp="" -)="C@" mep="AL" (0)="" ll="" f="" x6)¢e="" q(¢="" a€="" fee="" cl="" r="A)" al="" @)="" oy="" .="" 00="" (®)="" 1="" plz="" 3i9vyd="" m="" s°€="" sasidyixt="" i="" —="" £="" +x)="" 43="" €="" +="" xpxg="" —="" ag="" —="" xx="" s09="A" *6l="" xuis="" £="" +="" xg="" furs="" —="" ¢="" b="le" bp="" xs0d="" —="" juswaoe[dsip="" 01="" 302dsax="" yim="" ayio0[2a="" jo="" sfuryd="" jo="" 181="" ay)="" si="" sp/ap="" sawn="" 01="" 303dsa1="" yim="" ki100[aa="" jo="" 23uryd="" jo="" sje1="" oy)="" st="" ip/ap="" ‘gg="" urw/(ip/8)="" 0€000°0="" (©="" wrw/(7ip/3)="" sl000°0="" (b)="" le="" si="" z="" (lt="" wsc]="" —="" ile="" sod="" ut),="" 0,="" ot="(1)a" gg="" $95[219x3="" palaquwnnn-ppo="" 0)="" siamsuy="" h="" xian3ddy="" v8="" ne="" jue="" lf="" ap="" go="" (12601)509="" 2%="(1)" 53="" 91°0="" (@="" xz="" s00="" 0cc—="" 96="" ‘61="" 01="" ®),="" fs?="" ee="" (*).d="" @="" (+2),="" fx?="(x)," (®)="" (p07)="" i="" gei@="" of="" (®)="" ‘69="" 17="" tedeyur="" ue="" u="" (1="" —="" ‘ug="" +="" (¢/l€))="" (€="" “lug="" +="" (7/1)="" x="" —p="_@./" ©="" xc="" —c="" |="" +xi="4(e)" "19="" i="" +="" x(gup)="A" ls="" ye(xs00)p="" bt="" x,500="" +="" |="" vie="" or="" ws="" (9g="" wis)uis="" (gg="" u1s)6="" +="" (he="" uis)s0d="" (9¢)509="" 6—=",&" ‘(gg="" uis)urs="" gg="" sod="" ¢—="A" *€§="" (ce="" uey)uis="" m7="" (xl="" uey)="" urs="" murs="" (x12)="" 09s="" (xl="" uby)soo="" l="" i="" f(t="(ps00E)" (xys00€="" (uis="" (€="" ut)="" x§—=",£" "6f="" (0us?(¢x)309="" (x)uis="" xy="(X),4" “ly="" sod="" —="" (x),f="" :="AL" 's§="£18" x="" at="" (1="" +="" 20500="" (1="" +="" x)uts="" xp="I+" 1="" dar=""> osdrre ay) 03 au] [ewiou 9} orrered uonenud } moys pue spex ol j "soxe 2euipi0d oy 0) te st ey) losde 1 our] juague) aue 1b) x uonenbo ul 9 5 0 [enba st on = ap + x/moamd oy) 0) our| 0 s3deo1ojui-a pue -x ay) jo wins ay} jey) moys (04 “0x) yurod ayn 1e *ie sutod soy je sour] judsue) ey $3850.19 asdire st yotya jb syurod oy} pul 0 0) [o[ered jou ore sexu soya osdr[[e ue pajelol, © sjuasardal ¢ = s4 ax — ( 0 uoiss? jed jo moa ui ©) 1 99s nok jem ‘sano up 10ld @ 1dxo juague) aue j 4(#) 31ed ur punoy nok wt oy) oqe aes noa ued eum (@ 1501109 24) an01g gas nok op jeu (®) red ut 2 £4 x 2x ) 0) oul] juss ue) 2} jo uonenba ue purj 0=1 +z g[oqiaday ay uonenud! opp hondunt 50. pney j, puy 0) so[ny uonenuaiayia € ¥ildvhd 912 « . s09 ‘lb (“p)/1 l "6c £ urs x, uis 4 x $09 £809 at + xg — ax a) x=4 fe = 4x9 = ex 4 xt x sc xx — l (cp? — oo) 2 ax 24 5 «2c o aus + (€ + x) sod ig sma@enw xuis + (4 + x) soo x + at + xp + xg 47 + 0)x weren)® (lh 2g —= l (£ + xo)xt ert mi-1= ly (xp -)=c@ mep = al (0) ll f x6)¢e q(¢ a€ fee cl r= a) al @) oy . 00 (®) 1 plz 3i9vyd m s°€ sasidyixt i — £ +x) 43 € + xpxg — ag — xx s09 = a *6l xuis £ + xg furs — ¢ b= le bp xs0d — juswaoe[dsip 01 302dsax yim ayio0[2a jo sfuryd jo 181 ay) si sp/ap sawn 01 303dsa1 yim ki100[aa jo 23uryd jo sje1 oy) st ip/ap ‘gg urw/(ip/8) 0€000°0 (© wrw/(7ip/3) sl000°0 (b) le si z (lt wsc] — ile sod ut), 0, ot = (1)a gg $95[219x3 palaquwnnn-ppo 0) siamsuy h xian3ddy v8 ne jue lf ap go (12601)509 2% = (1) 53 91°0 (@ xz s00 0cc— 96 ‘61 01 ®), fs? ee (*).d @ (+2), fx? = (x), (®) (p07) i gei@ of (®) ‘69 17 tedeyur ue u (1 — ‘ug + (¢/l€)) (€ “lug + (7/1) x —p = _@./ © xc —c | +xi=4(e) "19 i + x(gup) =a ls ye(xs00)p bt x,500 + | vie or ws (9g wis)uis (gg u1s)6 + (he uis)s0d (9¢)509 6— = ,& ‘(gg uis)urs gg sod ¢— = a *€§ (ce uey)uis m7 (xl uey) urs murs (x12) 09s (xl uby)soo l i f(t = (ps00e) (xys00€ (uis (€ ut) x§— = ,£ "6f (0us?(¢x)309 (x)uis xy = (x),4 “ly sod — (x),f : = al 's§ = £18 x at (1 + 20500 (1 + x)uts xp = i+ 1 dar =>