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

MATH 241: Test 1 Study Guide

by: Julia Gladding

MATH 241: Test 1 Study Guide MATH 241

Julia Gladding
Cal Poly
GPA 3.9
Calculus IV
Dr. Colleen Kirk

Almost Ready


These notes were just uploaded, and will be ready to view shortly.

Purchase these notes here, or revisit this page.

Either way, we'll remind you when they're ready :)

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

A complete study guide for the first test! Includes sections 12.6, 14.1-14.7. This study guide is a detailed, to-the-point summary of the class outlines. Includes all formulas and major concepts ne...
Calculus IV
Dr. Colleen Kirk
Study Guide
50 ?




Popular in Calculus IV

Popular in Math

This 2 page Study Guide was uploaded by Julia Gladding on Sunday April 26, 2015. The Study Guide belongs to MATH 241 at California Polytechnic State University San Luis Obispo taught by Dr. Colleen Kirk in Spring 2015. Since its upload, it has received 188 views. For similar materials see Calculus IV in Math at California Polytechnic State University San Luis Obispo.


Reviews for MATH 241: Test 1 Study Guide


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: 04/26/15
v quotquotY Fh39AfDWL Qn 77 r v 7 Iquot a quot 39 G 3 MATH 2Cmcuiu8 mi T235 5 Smdg Gmde msedmnm39gi i Guadr ic Surfaces 14 Chqin Rufe aesee handoufrzqen mmg WWW guffaws use branchfree diagram Hq rum 7 W V39N de39v Julia qudd n 3 8 ring 205 ESEC On 3954 iFu c ons 01E SEVerqi VW QHES ix wz x g 35 Domain 0quot fu C OnS X3 9mg xx 74 wciemvn39w39wafer7 rlt39ltij ijrhir j g r 3 wide rooff D w a ux 33 i side 09 gt0 M 6r w 5 39LBve CurveCOHJFOLJF MQP L v Sur lce quot If 39fquot erior poii39quot1 if is 3quot e cenier Offs FXLJZO i 62 I A gww m g rsq quot H622 Compgefeiq m 543 region563T Fxg1 xgo a w N bQUWdGT39EJ 0334quot C39H rb disk Cen rer ed C1 39 quot wqf Poinhtoz39 j qins si OLlifSICIG 0T R 01705 poi i SidE i S c on 546 if rm 4 4 d l 9 quot i s 3 i O 1 x f r i aquot f 3 5 11 F 3 f x L aremaabiimgg Gwen It quot 39 1 339 a e msear S CHI VS DQUW w r V I z k 1 a39rquot 1quot 3 1 boaLj CieCi lies mgmfe a she med JRquot Pq p quot r mmes quotquot 9 39 1 39 4 u a a I v quIIUS UHbOUHdedmoT bounded q n E hon GHQ re Commuous Q1 0 13 Then quotFix u is 98 C 0 HQ LimitsCamhrmmy d ggeH ggge mm ab quotFin ing umws v t V 40 a Z w x Raul 73 3 Plug m dOES quotwquotf39 i fl k Uigo Q n90 rnq 33 XML wt fo Sufacfcnr cqncei Showf e SUFfOCt FWHZFC KXOHMZ V t 7 aquot 521 t r r y 4 h UH PM 539 CO UUGW G 31 does 1 Ucmom for The T39Q lt3 IquotH quot WWW fr quoth 2 J b 39 39 39 V f e fx m X 9L9 kmlx Q If If 6X13 1 0 We surface Fgtltgzg XHJ wyo 144 2 39 U 13 r 7 9 90 9 Nmmx Slmphm LEW 33 5quot 2 xmxex LFX v E 393 i 3 1 X o 39 quot K 0 olZ X cuff o I 3 m quot quot339 I GHQ X g i X B x 90 C HLJY ngEzkxogaL l Z Z A quot541 a quotE Wq m for We mmgri irs exeg sL p X aU JJEM E Say071 x m 73mg f W an ae SUI Che 5 3 Wi i er xbm m x m WWV Z Hw q me923 70 g 3 7w 6 r I 003am 4171 1 t 4 m 2 3 H108 E E 1 I TW 3 diff63 renf oufpuT values quot 2 mm 9 M 114040 Ha zgLaj aKEcSWHe H Qa C WF L a 1 for dl i f f f EVQIUES The 5 ozumh 39n we ML 5 r g B flve geml wx 3 8 35 ma me o me as 39 cf75n 143 quhc Denvqhves C OWL xonQFJ 39Par q CieriVij ves nofa on quot X quot3 Mf vggo nft L 1 3 My 1quotquot x 4 n2 A a 1 a quot U J c g g g 5 g 9 5 Q J c E I 61L a fxxg 6 7X g g A v I u 3 3 L mix w 5 3 x a 4 5 W15 2520 mm quot2 WW ix It x a w i gt I 1 5 r 39 3 J39 3 a aw a 4X 5 M5 5 k 3 9IiiZWW of zrim qr Owe g x 2 i N W k1k xJNNquotquot 39 If a 7 39 39 g dlxagK Egg xo oh xxogaivalt0 guixxo gQXg L 39rS r SCCOHd Sec 5 rsf 39 J W WWWLM39 n 4 4w 39 39 MM 1 a ClairquT s Theorem 1 gxgfgx are de ned Waugnm m 053 region WNW mg WM CW6 qH COHHHUQUS an 613 H181quot Hym hhxmzb Implici r differen a on See Page 2 Vw AMWSAILUAJV 39 a V n quotsawquotAN of ww Sech on 55133 CONTWUECjImPUCW Di lererm39q on Secg on MaxMin tiu68 8 34 quotE ZBCOSKXQE TW 39Grlhcqi pomj39sz where Fxab0 03 z ep vquotQiquotiQ 3 39 nd 5 xindepQf mbl Pgm b O 0 e39Hjerw H CQHSWRT gx ib Or ngb I H l quot1quot quot 17 39 39 mam 05 mew and Derivahve Te sf 6 Differenhl rsm x xltquw and yCb G gig 1 j z r i 5 Pa 2 ngij1afgjsUiaH of D Bulb TXXRGIbhHQltQ9bE gk Sogve 50 g H J 39 AX C3 3339 DgtO and fxx39PO a iOcai minir nun M 13 Dgto and FXXltO gt ch W Iqximur 3 w C it L340 qsaddie I 7 IV 7 1 g 2 3 amp Z r 39 39 quot 9quot 91 WWW Smixw wzk d 3quot 04 no conciusmn a2 a2 1 g Absolute rvmxirwq and Minimm or C quotquot SIWgtltLJZ WW quotSl 2lt wingtz 39 39 X9 ax 4 x x 9 J closed aoumdeq Regmm U 39U 39Z 2quot Sl3993935 391Me 7 lwsr g GE VCHuq iwe QT Crih cqi PO39HTS 39 I x v Abg qu VCHLJe of f is Urgesf w IquotFV 2f value mm 0quot H Lyghsgmfxwgj min VQEUB 0L1 8 S39WQHEST 39 3 value from CD 0 quot QJ Seci39z on 145 Direc arwi er vq ves 3 Note from Sec on r 39 The derivc ivc 0quot 5 GT 5 A 5quot DuHXoHerUHPf DUH 139 ii in dl39riec on G Pdgn mgqgg Oitwini is exgwhgmtqm mquot Po 1 1149 Uhchons and CGH39QOSM 10FES OT fhESe qre comh nuous On weir 4 quot2 39n j f 4 f x v Dui 3 90 7XAgztgoqu 5gkx49lgoqu dorm QinS 31 u u u 39 L47 agrif zfggnpcn mb of umf Vec m bewqre OF plecevv lge Lirut mgr sabe carcfu W ar C3311 Clre 8amp3qu Wm roof hnC OnS if F3 1 fhe gr ac e f is Q Vec39fUr 3ft er es 0 fhe Directional Derivq ve Duft Vf LF V a g39fufcose 39 Q 9 WCVECISES mosf rapidig in the direchg 9i We gradienf vecforELGT PTh derivqh ve in This direc on is Duf39lvH 91E decreqses n1on rapidly if We dir C O Of V The clem39vce39 ve in This direction Dufz IVFl Ang direc on u orf39r xogona To Cl grquehT gig is Q dgreCTz39Om of zero Change 3L O


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

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!"

Amaris Trozzo George Washington University

"I made $350 in just two days after posting my first study guide."

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."

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.