New User Special Price Expires in

Let's log you in.

Sign in with Facebook


Don't have a StudySoup account? Create one here!


Create a StudySoup account

Be part of our community, it's free to join!

Sign up with Facebook


Create your account
By creating an account you agree to StudySoup's terms and conditions and privacy policy

Already have a StudySoup account? Login here

MAT 111 Study Guide Midterm #1

by: Brandon Sangster

MAT 111 Study Guide Midterm #1 MAT 111

Marketplace > Pace University > Math > MAT 111 > MAT 111 Study Guide Midterm 1
Brandon Sangster

Preview These Notes for FREE

Get a free preview of these Notes, just enter your email below.

Unlock Preview
Unlock Preview

Preview these materials now for free

Why put in your email? Get access to more of this material and other relevant free materials for your school

View Preview

About this Document

The study guide for the first midterm will be everything that we have covered so far in class from the Cartesian Plane to Implicit Differentiation and is a combination of all 9 classes put into one...
Elementary Calculus I
Eduardo Chan
Study Guide
Calculus, Math, math111, pace
50 ?




Popular in Elementary Calculus I

Popular in Math

This 34 page Study Guide was uploaded by Brandon Sangster on Thursday October 6, 2016. The Study Guide belongs to MAT 111 at Pace University taught by Eduardo Chan in Fall 2016. Since its upload, it has received 17 views. For similar materials see Elementary Calculus I in Math at Pace University.


Reviews for MAT 111 Study Guide Midterm #1


Report this Material


What is Karma?


Karma is the currency of StudySoup.

You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 10/06/16
a' l\/Lo,{rt n ,i{ ." , i,", ,,,__ t qhlM bffiJffi"Srfu?{/rr L lli 4 -x- 'iTeco4! ; V=mx*b ft,**eq,afuhbn n I i,t*-,oru) L2 S,"FF9 / /tr i/o- ca.x-n + //a-< \JI-\ 1t ) i T--\n t€ ,,fh=/G, x$+0 rrrj I ^'X- *' *". vz = 'Z ! 'r-; Yt * 2_ ! i ;, "i ._i _ IE-x { YEAfi Lotz- ,1 -1 +ee ii Tott ?b t4t=r:P!?x-- I Z7.g ,vu,iQ if r)' &,'t), C4, ^,J 6' ar<-ll"uiw-.lihz ,{; rg,hl tionltt-- /lL A7) "2,'." e 1- A!:W,?,I:E f-nL =Cs-D,ro-D,,rw l' 5c: L'l Tl* 3 pain'ts*-LffiA"t;f ';tLrgl,/*n,*gk* CYt)'+Cy-Oz= rz (Co,o) PU,E RnJ'ra= h *[,p -flrtrasS! or{o q.U"r#* X- a,wt P'fr +v)=cS Llx /= xL- w<-32 Q= yL* -3-Z o;&:q ) &t) *,,sLQ.- I ; t /1 ,: I i".d fuMrd 'K+ / ..-f)---.-..._.--_.. tixdcr"tr iK r. nml+r w;b?oJ"./ W(x)= hCD= \b."^l-Eru', i- = Ioai", 1.,6*= tt i Ioooo=-qx "(#n iM C= l\1. 7 /4,47/ * r^ Srnos*r 7/rs/r, brya4Ztr't mlr_ \ dfuJ"-'r*.- /km,T laar*mhX f CA): too*3x jj F,'xeJcosy' *#',4<-pal"afih castVa'*,,'/nou* 'Pfr i"*eo?ra/,1,2 f..Ju*4b,. AwosL b4'' C(D : aburyeus/f-*n,'f X Y- t ;l!d ,X= 2 , x, q$?* x=3=fl21"x= lm=g?=ls:X_ looo-$j, 1p : \=U /t a frt-x. 'PrO",, l') - n:.--.f-L P,C', PrQ,z) "[Y7r-2;Gi /. , 'Y-.YI X- X,r 'i-g;7xL/E /= ax /-l? /-i=1&K-9W v-Z= 7X-t :i.--/- 'v 'SloPehtE - / =,ryN':d (x*x) ru) p2*rlr*+l,h/qz=&5;;Yri \ Val,,t-kl6 y i$ n ooo *=*ipu *k&) "ils t V= Wuu a* t//La Jo,f frizLqooa -.2"9,r .-*)5,ooo \ V(*); -2',,sooLi25,oo6 .f, 7 { an<e + \ t-'" DoA,,^;i i.L I XY 3x /= {m=2xft Jvt fto>':m XzZ I Qon^in [2,,@) {c,o=or- ,-f6+t;- k") - p#uruur^o+rl --,.-ln Ex:*Lo= 3x*s {GD=S(xrt)tr 3xrsl,tr-(sx+O Sl- g h -^ Fx,{<*;=x' (xtd-*- rl,r*4 hnl @ rt .:t g@.KD {&e) v CamPosiL 9CD=x/z Aa= x' li ',,*C€r:)(z)=Q +z)'=t s'tz: // Q,DG)= s1 It Ex: AP(t,lo% Dbco, * @ @Adr ?% S,./*te-x I ! I I i$ lo x- pr^ia- f(x)=.1x I 3Cx):L o4x ,*,,-,{'}/&) lCr,pCD) AtrFtftoundt oJJ fl% Sa,e.Tax Ad/ ?% s*u4**,!tu y{1/ lo%< or/? 1G,lXx)= > iO, OCD=J(€co) =J C qD: l,/ ( ?x- ?1 TN to) {0, orD . qn ICr"D(,x) = {G = = 7fi..asg 1x O,,-Zt /;- +LLSc,c wr*uFru,c*ion ftD:zir{ J:;Zr X-5 5 I5 3G@)= x q I {OcO; x "{u)=T+ V- Lxtl I -x-3=- S, l*{o- x a /:\r-- I irtl<rch*ggxa^J y d= ?yrt - Xy-Sx= 27 fI y- 2y 3xtt2 y&-D:Jx ]l iX = : iI i:frD xz- t 'thtt - ii -Y'l-- . t->':r. l,l r*CC lZ.t lz,otzootlZ,oootlK:l {d0=i x->r, ..=-.* Z XA_t i*,,rt,,.7XC/oS_<-_ z - --- T;; D/ fLfhie i ct,t -+, z z t l.q-t./=l-.rl _L -.I i: Irii @=b)u,*, rtoy'= bxsr fl {k)=r[xl-o if xl r /,D-. x=t - It/{A)= x)-t t x)Lrn *(t)= o lin x?-l )l- "X_-1. 'X-)-dX2ct !: cxr:D=2 Y)(77 2 6 e\$?YfDrz) "L, 3r z r- 3fs =l5b L-i',L,tx)t(W1\ W/ i 'i-l -. Jl *t \- X-'l' tFr-r U/^ Y)tnW-l?l -n c/-D@+) a 8*J*rS--,gsrb- : 4AlO li* ltift.D jttUA:X)a*toS Ey,sib> X)qru;= X->a i, lx-zl |-lD- -X-z @=t,?, >2 r, i X-Z iVli k|iifui=-e=A=-| i6 {g;-5rr,{*r, U:x i{x>t t,/{CO -/ -/ X-)2'J_ linft:D=? ll,r,= lfz=3 Ixa Ix->{u>: L/-r:S I tr /1 +CD=*1"fu x ,li*{Co= 3 X+l X=l. €CO*Gz, i{^x< ! {OO XtZ rfX< / \y-, i{xZt A-x if xrt Con ti,nw,of*d*Fou,oh'ort n\ ,sCnb4ti"u?wjcr+X=a- ESjrenrq'ul /l7-) li; €k) Ex,st ) go.t*^n,,z,Drscoah'rtu'fl2 i X)o\ D €c'; - 7D=t^)n"r*ltYotco4/14"D t (' fu*Jil ,f(*)= -X-L + gl lr' .+. ! .t t -+ri -+! I*"i,ffi'd* .tI L,mit a 1 Asym//r/<* t@, 1,*{@ fln-rk x-2ct f(., t=ertd ? l,u fCC - Qo,er /Uo/ *,jt L,'2-1 Ctl X+c, ftd=O<fi*z Xt- vx'tzx 7 7 L- +l /4/+rlI iW BronJ-, S^ryshr ?/zz/a i/\ ruA<-of cl,qg< Iarto,etLnZ- i = 1tu" : V I lt/q f\ jb-l-c 1Y * fiuer<-e<-;<,-ft"f tD+" E N-a^eZChr,6urAX. Lr :Pa, lU, fi^, fd, Ax)o, Ax -l-gq,tl,.<- ;r- lT.nsl^n/a.ttera,+< rfcA *,gzJ"-ivtl<-r{/ iWifr rYS/o.ts4*oX. : l'tn V= ruxlb Axao 'tirnx*b ffi+zi=n(x*lx)+/ NnAx#-(* x+L ry_4{-tfi) w1:!) Y= x' {Eud x) :O+zx)- ftx)=x2 ifin Ax*a W=? Zx a I i o " , /1 o- ,- Ax(z,u+zx) *ron AX -d 1"i51*,ltlt,rb4Lo{ch*yc a* L=l 2Ct)= Z o"tx- z 2Cz): ? /={r'o fry* dx {?D= tim \ 'A Ax* \ fr=2 b- x- (xiax)'" . a-b xCx+lD Ax" J' -Ax '- Xk+tx) Ax 1 Ii,r. ,l -l .r-ll AX->o X(xtaD bx X^ dYray,+) 4*ronl<-f'/,hiTh/.r,L _L tl I a lvt,+t-// w q/zzla ''{3r^Jr^S*,ts,Qr-^ a" n' n qG'wifr*'b^o i1 :/=q/f;o P= '?,'tso; !30:2q,+ 3' t 2Z-no ;o, ','G,+,o)(o-s){o fl=-to ffil Tlr f= 2. tltPt lx il-swx'+sx- @ s)0rD_ I PJ lin i X+s 3 o ffi_s ',, / A- 3, Naqr'{xx-7- o x-q t[wsr3 -€-"-->f il v76:r3' -@ : iltn t = -l ffrtsl x+4 tlTrsts 3t3 a ,U le llin XZ_ 7 0 drr;&r9 W->s-YL 6x+q o il M ilr.'1r, /--urbr*r"b(, I)s G-s) L)r,,/ -ao lm Itn {e;=Gq X;>{ €cD= -Oa x)t tr l;n lt-xl _q X;,f X7-t o( il uczo lin _l__ / Itt={LbL ifr*>o X+ trx*t <- \ t 6, I,n J*', Ga Xaz- Sq) la l,"nk)- 0-Q =6, X*o- t,lif--)- O+z=2,. x)o' € 't ,tot c-on*)auorti,? lji,--€O; l,+2-= ,)/l-- l:in(fi= q:r=3 lin{c)-3 ', ->rr Xat 0=3 {zt co.:,fii^oa-f ./, Q i{{.eruniafr'n ) Tl," o{ gA isfu W lracess i' '-U- dx- 3x' eo.s/.-,/krotr+p/eq4*C, fq)= €,t?D y=hcD # y'-€'oo 5x3= tsxL y'i,-+fr= 5-#(rg= 5(3*) Sn-, /Dr#o.,^fi,-t<- dx(rcntJO)) = {'cors'(o a. do 5xd* sXL*sx t[' dx-dx\ '$n?+Jx'+sn +tr)= *Gr) *A*9 +(sD+0) =s*UD*3 (x)tscD+0r)= 5(a*D+ 3(zx)t5(r)fD** i .) /X'tqJx EoJr€f ,!/ (/ rr/ Y-Lx-zI qx/' t 7u ,2 /14//^Z- fr=7'tr1 S,e"ci4< - i k*, Di{nrni,.za *q,.M*, o/t* bq* / 7li,.z on +/'!--cur-*y= 3x3{zx*S dt], to) \Qoint SIoP+Fo*,.,1*- + t'rytfy#';,,= i*= Tfrz { r----.-...---/ t' Y-to=ilx-ttafZ=ttx-iflX- \ i Y-to= ttU-D Dx=Z *o 2,ol Cz,r'Ds*3 x:z 1-o - lZ'.o/ 0 + l2-,oGoo / Jnst"r/ ha,/Lo^fCh^*o-t X=Z 3x''= x:L 3C*= E /4.+r/I \r*lonSa.f*f 7/tq/ru (c)=o i# ( o{'cx), *({ru;tgcr)= {'c)!g'co Plar-irw/J cCx)= *ofulcos /of pn Jirrg -) i€ = Plrg,n,,/r* 45= lwoes,hclfloutr,,z-- iAp ^,t r O^-ft a"aJi,Jh'*o)/an #= /a*e|n-) Po€* , frdJ,'*,;c,r,a/,in froJ*c,rg hlJ,hnorl *4 JJ,/;rn"/ in *,J s,thy n/J / >'',"u' A*{* fn)^ins ^ / Dx: {)= o,oooz x3 + lol /) ^, -,Dekry,'M-tlL lyargrt) p-A'*lor a- ',Q*J*rfi'o4ito{ so-,,u,,8. i dP - c,00 o6 - i t'n}1-L prrx'+,ol *= .96 o.oood(sa2'y'ro= i # lt,go u-it 'o^ A d il.oa&"u/ g r ;. n f,/,ftfu-pr>J,.mr-, F,tX * :i: Pr<f' ',ft!i:Fc# 5;il 8f ,re,l_e .oazc,o), r d o(sofl = Ssa.53 -52-f =l#il.SSr,4r-/*Z 7 liu AY dv 4-)o N-ff, #l; Pc;i't'"P[;)ti X o= -{t I dr lx=uo =Ffu,C-f(r,O Dcnii f,^*n>rt P? P,Pn'a-{)*/-,o,)* k=q^^,yfu-*U ' *<,*-_--a:.1":e& h6C= p.i X; d***,J"d Lo roo p uni*fo'b uool io,w 0,So- C^*P6-W ilL M,g-g,'nCI'ur*,lp*- X= ?rtoo hCb= P,^-- Gq'*-x)x db"f dxlx=1o,aut )t W 6orlra-LX Q?2/,,0"v|v - ",Lor7ta a ryg,_i--'/low, "C q-v \ ffl7U* \', X\=b,pr- '66o,oo,lp.,oot\-ouL'* 6Q,,uub@,y*Q-20,* ^.opr: Lo r*o l!::,: i?nJu**!Ane- T (rcog e), tDga ty) tf ?.g 2x3i ix* 2#-lbx- Vx3-n x 0^+o {ftDltx) .-/ v= z(vxi+t) 14: T:<; c \ B- t/xrth,E'l2x 2(tzx) A/ontrcJi",4f/y f.J"c/B,/z d @-rcY){qfu"e 'LoVl. 1DcDJ' (toat' )Si,g4bp V= r 2x/S ,4-zxis A'=Z Z$x*t)-3(krr) ' SNf{ fi= sxf_fg'= S (sxlDz <- / k{rro- a{-q ba#n,*doofu,s-< Y (sxr)L Qu.a*'at*fi*t+ -- \. 'i EX*. -T,,-es/^--ct // Hnr777 B*J*,*r- to/1il6 Ch*tn'i\"le- l=ldq ncY) y={ecD) #=Mm *({crr)-{'crr>).J'cx) \J 2x U=g- b -L, k&,+D' _.1 dx g,n'ltu7 Arr,la t7rL+),Lx 3n'(zxj -zr)'+ s(sx-zxfG -w) /=C*Y # = ^L- 50y, 1 dx U) => /= WDe*inrff)+ dy dx : *Q,'rix*)-+, G x'rD G*'+s) ffi% Y=l X,tm"e poJ"ar[\,^b 'B' ).q'= I a'izrts)lz i)B'.1CuxtDl ,cr) _dL=x + dx( r+9-'h xtOb Yil) /r(un)!',Dlr X t(zxtD -\ &= 3x t3 Czxr9L -/ dx (zxts)1, /:- (xrtr,5 A= ru '@3 ) -, tx-.; X-r n'= (x*) t- (x+)I t f;--L' '--,-/ C\-z)" LX.D _ 7 Fl;tLc- ar&r* / -Z . ,..j /44r1il b^JonSqstb tc/u/tu Y= {@-,!_r /= @' ) E xflrc/7 x' y& tc itF* ohbn hyf l Ar#f I t ? ^ -? ,t,n,,/^/'' -',,t i&-'u-\u/Lx'-33) hil;e;/'l;,i?, iax Lx'- 0r-ecomg4<-(f,.t-urh'a-k- i I I{, v isnoollexp/'ry22 i- 1 a de{/rol ,'Jrris'rf ,{ i-, TahriL deriw#iu<- 'i*Qz*r)= + 2r(#)= o flCD ,r,2x -<tnJ G).*l;')={ i# i S, tusfi-Y 2v -dz -.-zx i dx -/ dx dv -x l4^**2^4, Y ,\ -Ll-. Y=Jzo*!f=lffi- Y=lVzs-v' - r)-*(2, ioy x #=+Q'r idx J z;-x" lt--x i ort lTg-x^ 7 U" /^-\!.-/t -.:,- :_ | l &'y)+*?xy')=o* \ i 'C#)+ 2x(y)r s[x 0r#)r/:/r= -: o f + er/)#;-lxy-s,,^' ,i, ',-. -1'r--3'? ox't, x'*Gxv \ / : *cv)=1r# ';2v*= -ii n:/ ;,l' 'X=^t6 I6I,**Z,rL*:I ft_zw".sl?[;ig y- zr Llt,r- 7 /-> fiixh? ZCb)-/z**tJ'/'"ff= o +(+).*(+),t=c ++ t 4z=o -:,' . lQ:,-dx-:' - -."!".----.:!:- \l f oi (t6,?-,r) _'l lv -ti dy-..*J v-t/;'- 2/ &- 2^ *JT -i-* l+l A xY #&t";i" -1.y.'2- ty 1v/' dx:="X dl* x'z ^YC i-l -j-- I z-t- J- S.v-1 ',Y - -F + X dy -- t ffi dx Csi_D" idx 6"-D l-X CO - 5x'l-Sx Csx-t)' Y=?M L) Con/nrcoccX=Z YfS b) Di#- +ft.X=z No t/a/,,-(- Y=(x-r'n 'dx-c3'r*o2h 3'Gr-q%3 [4<*nb.Lt1(x=C2qo't^)X Pn-ou-rfen, Cosf C Cx)= 3xLt'?ox/toru P0)= lro-zx)x -Csr"*?ox ttoo):o -) P-^t X ) /ul,'/1m#Zryz'+caSa/r).-fr#/w'haat X: Lo" il?:,*,*,


Buy Material

Are you sure you want to buy this material for

50 Karma

Buy Material

BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.


You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

Why people love StudySoup

Jim McGreen Ohio University

"Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

Kyle Maynard Purdue

"When you're taking detailed notes and trying to help everyone else out in the class, it really helps you learn and understand the I made $280 on my first study guide!"

Bentley McCaw University of Florida

"I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Parker Thompson 500 Startups

"It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

Become an Elite Notetaker and start selling your notes online!

Refund Policy


All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email


StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here:

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.