### Create a StudySoup account

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

Already have a StudySoup account? Login here

# Calculus Analytic Geometry II MATH 251

GPA 4.0

### View Full Document

## 12

## 0

## Popular in Course

## Popular in Mathematics (M)

This 105 page Class Notes was uploaded by Bethany Fahey V on Sunday October 11, 2015. The Class Notes belongs to MATH 251 at Concord University taught by David Hill in Fall. Since its upload, it has received 12 views. For similar materials see /class/221237/math-251-concord-university in Mathematics (M) at Concord University.

## Similar to MATH 251 at

## Popular in Mathematics (M)

## Reviews for Calculus Analytic Geometry II

### 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: 10/11/15

M gt5 Kn 777 x90 Fw Poly Io 5 quotp 70quot Qu Plus 1 Title Jul 9 819 AM Page 1 of9 um XL pu mow x al 7quot gel 64 134 2achk1 3 h 1 1791114 I kCZ14391 VLPo h kao h M 27014 k o 176o Title Jul 9 823 AM Page 2 of 9 M CELT 31 7quot39 lIP gtl Irvgt0 h M W 30 H I G xzkzr tkIAz Vquot I ma x at 139 3911 XL XL Z39XJ V hgto x txw h Kw 12A 3 hw seCM39H 1quot 101 3 70 x Kquot L 0 Luvl 27quot 1 k o Kick41 XtXaL ILL 21 39 xquot x3 Title Jul 9 830 AM Page 3 of 9 a B A mommy 52 3 31 H 93 K3 m5 x IN nu vb IT r 9A N r 5 in 4 In Ale XV C IL D I x u x m mxi funk c 004 amp 7 1x x 3 K T 3 quot1 Xquot 3 2 x9 Xf l2 2 In x I 0 l x7 8 quot O L H x p D e gtlt7 M M Title Jul 9 845 AM Page 5 of 9 39 4565 as 0 135 hn f j NE km 66 D Xga a J Euegg h mane m Ilnf 1 H 1quot n X l Xe I Xquot x91 27W 1 law L x9 Xj L 2 Title Jul 9 903 AM Page 7 of 9 4 X40 46 I x20 900 l 3 3 quot39 3 I M 240034 X30954 39 I lga Ego Q 3 Title Jul 9 906 AM Page 8 of 9 HomeNOVIK 5 6 1 1S3 Fi d I39nww 39 Title Jul 9 919 AM Page 9 of 9 hi Find the point an the line it y 3 111211 is Elnaeat m 111 patint 3 H 6quot 4H 16 PO39 BY 10 2 M xC lbz I bw4 Y 40 I Lc o x32 6xH 1 0V XL6gtlta 36x71 96x8 92 37X3 074 0 46x3 7 foc quot3963 77L6r930 x 2 42 h7 Title Aug 6 834 AM Page 1 of 8 20 Find the area of the lilflg t rectangle 11ml can he inscribed in 1 a all 3 1 lt1 Ihc Elllp f 1quotu39a39quote 2 12 7L 39 b O 4quot 49 A V01 0 gt rec Hsllt 75 mm vsY 95 7c 2 7 po ld Wa 41 o 4h g Le SltL lt 6 if wry M V GXLyz x w v 2 7 XL 0 WK ux 10 41 x1quot 7 LI K quot 7 56A IV vl6 E39 l ga p N 439 m cab 25 Hts O f 62 bxc L lP l Y Fe m Title Aug 6 844 AM Page 2 of 8 3924 Find the nren nf the lnrgnnt rectnngln thin USN he inm jbnd in n right tl39inngln with lngn nf Inng39lhn 3 En nnn 4 m if Iwn sides nf the rectangle in nlnng the legs 03 l mc HJ39LILH p45 HnmsH 6013 Ad 60 3 Slope y 1 3 Lt 0quot Am 2 mm x7 3 L gm T1 37C 500 37c3 nil39 4 lm2 Title Aug 6 853 AM Page 3 of 8 m A nghl mum c mdex w mltcnbcd m A cm mm myquot 1 and has mum 7 Funk Um lulch poxsmlc VON 0 3th J cvlmua l v i n l 7r 2quot H w 39d 39 pvpm Y n 4 M F 2 391 Tm fa wt 5 Yul7 RX7 wry Ast Ma M m we gag 4 4 1 1rb 1 n mm 5 7 LTEL9 me Aug 5659 AM Page 4 of a 30 A posztet is 10 have 1111mm Inf JECI in with 1inch nmrg39tna at the 39hmtcm and tdE S and L11MIJh ntut g39m at the mp t hat dimensmns will give the largest printed area Am x7 so of pasF y v A 2 soc 2W4 l PKH 7c 1 WHY K ZBK 7C 3gt 37c 3 0 6 50 x 391 34 0 HJ6 37c 7C 506 3 37 XL Ila t C ZVBa Title Aug 6 924 AM Page 5 of 8 34L A 39li EHCE 3 ft tall rum pairLille tn at tall httiltling nt 1 distance it39ll 4 ft fi39ni n the building What it the length til tha shnt tent ladder that n ill reach train the gi39nttntl titVinquot the trance tn the iiitill 31quot Hit building d L 75 72 wml 4 90 W t 7clt 71 Oct 7 Title Aug 6 933 AM Page 6 of 8 L ML 39 quott which paints can HIE curve jquot l im 31395E1ms1hr3 t 39 i tt line have the 1319691 Andy 104 97C 1 15a4 0quot h ux IIquotr Title Aug 6 937 AM Page 7 of 8 Title Aug 6 942 AM Page 8 of 8 if 1 Frame that t acjl E5r 1 mt 1 3L 4 Ms as 01X Sll39 lt3 39 quotquot71quotquot Co 00 CSClt Title Jul 25 800 AM Page 1 of 25 21 6 Ian 1 may II V 1 CCLC7Lgt 739 3 1 5281 23 9 y 2 K iqlg ygt1xt 1 Z Title Jul 25 805 AM Page 2 of 25 31 A ladder 1U ft lung rests against a vertical wall Let I hH 1111 gl h lween the up Elf Th5 laddcr and the wall and let 9 he Elm diamnce mm the boltmm 11139 The ladder m the wall If Lhe bullnm If he laddeI Elid away mm Lhe wall haw fast dust I change with l39EEPBEK m E when H 17quot3 to e 6 SSH us H 7c l LL DCOS39e de 44 91 3 l0 0503 19 5 Title Jul 25 808 AM Page 3 of 25 if I9 PM that ml I H cs x it d 037 s39mms ml co5gtlto52lt quot M mlox 116200 H12lt L SC 7K Sh zA Title Jul 25 814 AM Page 4 of 25 31L A mass an a spring vibmm39s h rimnmllly cm EL smmth level surface see the gure Its equalli n 43f martian is Eff E SiI39JI I wham I is in 53de and x in ccntim lem a Find the winning at rm 1 393 Find h j Q f u mass at Iimt r Ewitmi mhat directiun ii it mmhng at that time q 922 8os e L s 3 2L1 V3 15 z 9 Title Jul 25 818 AM Page 5 of 25 2 y 4 3x J7 lt37 VL 3 Twl e Ju 2578 24 AM Page 6 GI 25 4 y tan sin x 5eltsnxgt shah sec1 575063 asob Twl e Ju 2578 25 AM Page 7 GI 25 6 ysinc oSCQ j39f KVL J 353fo x L Twl e Ju 2578 25 AM Page 8 GI 25 x2 x 13 3 3 gtlt quot J XI Xh39 5 gt41 vatHuh Twl e Ju 2578 25 AM Page 9 GI 25 l0 fx 1 mm 1xv5quot f 0w 4 fgtlt 7550 Twl e Ju 2578 26AM Page 10 GI 25 I2 ft 1tant H with 7ngv 5 62 GA Twl e Ju 2578 26AM Page 1 GI 25 14 y a3 0053x o 3 5leij 559 3 51 5mm gas 19 Twl e Ju 2578 29AM Page 12 GI 25 l6 y 4 sec 5 sga gaawgg fsrp Lf Std 39vb h 5391 5 Twl e Ju 2578 29AM Page 13 GI 25 18 ht 4 13t3 14 3 2539 IS few13 WHY 6 43 e wfi 3 w YTHSX t3o warm 95 3 f9 Twl e Ju 2578 44 AM Page 14 GI 25 20 y x2 1 x2 2 y 1 3 ad L 4 KL 3LltX2 3 279 xikg 2 1 X123 63 I3CI7 D 41593 xz f39x 7 75 27 x1 nYZs 75 674 Twl e Ju ZSVSASAM Page 15 GI 25 22 yx Si Sivn f 7c COSCH 7 G 4L an awash734 X Twl e Ju ZSVSASAM Page 16 GI 25 x 24 7 3x V3 d7 3x 7L J 746 737 Twl e Ju ZSVSAEAM Page 17 GI 25 y U 26 Gy W 54 quotMyf vlv zv 7 0524 01 Zyj yl1zy10 L39L 03 Yl erJY yIBq39CFCVHIiWZ 014ch Twl e Ju ZSVSAEAM Page 18 GI 25 28 y SlIl 71x COS 71x y 5 in nahas 17 4350779 1 cosm hr 511977 QR 7rvt 9577L Twl e Ju 257847AM Page 19 GI 25 l7 gx1 4 5 l3972 0 Sad gt533 IHXQ l i Q4 upy lt37amp23 79 0 amt 6 Cl rfxl39b I 14 3 1x g o 3 IOX3919X13 Hex01 Twl e Ju ZSVSABAM Page 20 GI 25 3o m3 3w1 5509 m K 057 9 Twl e Ju 2579 21 AM Page 21 GI 25 32 y tan236 2 19 quot as j ravx 3 95 391 1 39gt Z39 3 Twl e Ju 2579 21 AM Page 22 GI 25 34 yx 5m w 31 2 n 06930 x4 Twl e Ju 2579 21 AM Page 23 GI 25 38 y sum y ca5j z sh y p5 5519 DSLS1ampgt ITSE Doc Y c oSs2 Si411d eggam 05 x Twl e Ju 2579 22AM Page 24 GI 25 40 y J Q in m xnampgta L 9H KXV YzIILJ g xhkff o 1457514 Twl e Ju 2579 44 AM Page 25 GI 25 8 If a snowball melts so that its surface area decreases at a rate of 1 cmZmin nd the rate at which the diameter decreases when the diameter is 10 cm 5A 17 Lemgf WDZ 577DL 5 JD 0 27rDF 7 3272 00 71 j 10 At noon ship A is 150 km west of ship B Ship A is sailing east at 35 kmh and ship B is sailing north at 25 innh How fast is the distance between the ships changing at 400 PM P aSHpH r E 51 4 qu o o aft 2 AHSDD o a 1 J D pa 7th a A a 11wa are em 0 W J MD g 1 4 Mgif 9 L61 OHM a f 1 wwwg w 00 PM J L 1f vllt 59 799 md L WWW 12 A spotlight on the ground shines on a wall 12 m away If a man alks from the spotlight W at a speed how fast is the length of his shadow on the building ecreasing when he iQDm from the building M A baseball diamond is a square with side 90 ft A batter hits the ball and runs toward rst base with a speed of 24 fts a At what rate is his distance from second base decreasing when he is halfway to rst base b At what rate is his distance from third base increasing at the same momznt MShgb A lt 14 5 S W JG 5 ii L atHe ix 0 e L g t WWW A 7 e04 DL s GM 7 l L 1 qoe gtgt tw We 4 W A 1 its l mgyl i Mo 72 7 M A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is l In higher than the bow of the boat If the rope is pulled in at a rate of 1 ms how fast is the boat approaching the dock when it is 8 m from the dock L R gt5L 7 a 1 2226 wewaa l39 4x x5 2 AE A 4 Eff 2L 5 Q A 20 A rough is 10 ft long and its ends have the shape of isosceles triangles that are 3 f1 across at Lhe top and have a height of 1 ft If the trough is being lled with water at a rate of 12 ft3min how fast is the water level rising when the water is 6 inches deep Alfux BIS AM Mum 4 D wv Arm has g 24 A kite 100 ft above the ground moves horizontally at a speed of 8 fts At what rate is the angle between the string and the horizontal decreasing when 200 ft of string have been let out 26 Two sides of a triangle have lengths 12 m and 15 m The angle between them is increasing at a rate of 27min How fast is the length of the third side increasing when the angle between the sides of xed length is 60 i a 11 123L175 K msa 4X V 8 W K MHW JC m 28 When air expands adiabatically without gaining or losing heat its pressure P and volume V are related by the equation PV C where C is a constant Suppose that at a certain instant the volume is 400 C1113 and the pressure is 80 kPa and is decreasing at a rate of 10 kPa min At what rate is the volume increasing at this instant w SF C i5 3 T0 at f k 7c D WW Fm 77 80 U z LFOOJW C 335 Wy 50 34 A lighthouse is located on a small island 3 km away from the nearest point P on a straight shoreline and its light makes four revolutions per minute How fast is the beam of light moving along the shoreline when it is 1 km from P7 Z fwu g7rwa4 a 7L MM 3 it Lj4w6 Xi H 6 g 1le dkggq W a A 0 z lel 3 We 38 The minute hand on a watch is 8 mm long and the hour hand is 4 mm long How fast is the distance between the tips of the hands changing atone o39clock JHH b4 1 Mimi AV LLan Wot2 5 f mavKS Mf WV 1 ML 1A Gad wmh k Wok5 if H 4 J l A 4 Ana H 5 m E H Sirkt 1in M 1 0 Ft be 5 L73 Mf be hdg gmerw H qwd LZS mm 4V 23 Gravel is being dumped from a conveyor belt at a rate of 30 ftsmin and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal How fast is the height of the pile increasing when the pile is 10 ft high Title Jul 31718 AM 13 of 13 Untitlednotebook Ex hpk of ink law A In xIa A m 4 c I w xquot 33 0 sog 1343 J 07 7quotl o o 2s39329 Jul 10802 AM JuliEDNA r hm gl a 3 8 1 u a kKMS a 1 new l 39I P quotquot39 3 fwdquot r quotHMs a 1 2 d g d ouhh 6 divmo 8 div 0 39 9 3 1 o E M am 1397 O 2 3 6 Jul 1UUim July 10 2008 b 999 1 x 0500 x49 1 g SQH A ati51 3390 5 mg rsquotquot X 0 l39 v D X 1 D l 7 or M39 s P pinq 1c nsfr 50 1190quot quotcm H 1 9 0 N Jul 108228 AM 4 Pit 32226 1 4 6 H PM 33 8 Jli n1 u 3n 6 1 3 a0 a fun 1 quot 392 9quot 6 C D HYC39I 5 2523 22322u 3 44 369 ly Jul 10845 AM f 54 m quotquot l2 lim Mme vv 1quot 3x J 4 l39xh x H M l quoton 1 g ZZZDIY hb lad X l 39f unu 3 in xzrrx H i V90 x1465 39f 39 quotf 1 x n M Top 10 x gl 43 1 3bin 0 005 4x x H l39m t 3x J l39uM X 799 m mma u 1 f Jul 10854 AM Jul 10859 AM Untitlednotebook July 10 2008 x 43 TWP 3 I I6 lim u I r i x 3x J a o39 D 398 Ilm q xol 1 D quotE39 h MYX7 1I quotl ma a rm x1 l A Xquot K 39 3 Jul 10901 AM Jul 10903 AM 4 3 20 lim l39h m 8 W h l I nil h Aquot h VT I F lit1 3MLLquotI38 19 Lr 3939 1 m h an 0 1 I I IHqluu hs 31 th I Hh l 2 1quot 4L xn h quot L2 1 k hamu 5 MW 3 in 39 r39il 5quot HM Lktquot 39z f 39h W39H 39 X 9o Jul 10906 AM Jul 10909 AM x 16 v i l I 24 E2 x3 26 lim a j 1 Il r r I H ghtr h mama x z 1quot x al 1391 kw ab Hal 5 9 Gequot 13 3 fun L I L 39I I I H dI 1 033196 Hz InMa 39 x aa Jul 10916 AM Jul 10916 AM Untitlednotebook July 10 2008 quot quot 1 7 28 111 30 llm r 5 il h r ol 1 VI I 3 J 39 0 I xquot l 395 Hm m 3 sum 3 5 456th a l rm T l 4quot 39 mu I39m x CJ Z39 a h tJP39 J x Inquot 3 H H 3Pquot m L h 90 y I213 M lrx Jr 1 3 lggomW x lVI39rH I Jul 10916 AM Jul 10916 AM Honcuuk l392 1 odd Jul 10946 AM 1 4x 9 E w W4 1 l f M w e as s Mme Y i S 4 4m LoH out 7b 000C 13 lt4 O goo Jr W V a sa ve 09 7 2 17 Hwy 372 r 0 124343 yL yZ 2gt27C zx3f DV QK girl 7 77 3L Wu 5395 x3323 I 3151 gt 4 2 Z3gtL7r 0V757gtltgtLyf I 3 7 2lt15y7 gt347 5Lng 217 3 5 5 I SXL1gtltf ZWV 392x7 lt 7 V W 3 IE 11 1 Ei 1 050 ya 7 7 1 as WM 17 7 VJ 71 DSMVLB nywsmva 7 4 71 fojgtltZ 294 05X7Lgt L 05 Z f 2 9C7zo ylj y Ma y sinirgll39 J radii 7 v X1 fcog xtgtzvc S 1L 7amp056517 YQw 76gt 7LC05 27 yr 1X7C052lt9 A 597 7L 39 2X yagt563 7 39 ha39V39 67 1gtltgt 7C MSW 27 IEquot II 33 EL2ltgt ytlgt Z yLIL szyy ELM 475 fl ng 2 ya 2 xzyy i V 323123 A P IE tanlix 1 1 132 lgtlt2gt 27 SuL P7 13973 7 3 0 CLC7ltd SCCLCT YDY LM47ltLM 27 H73 2 L JSCCL7 7gt 7 LL 1 x ape 7 72 sCCZ7eygt 04 22lt7 1 E W 39 5 m7 d 56LXgt K H 5M 7 1 HM mm ms 39 amx Ens ng4 3MNWgtT C o C7 gt 5 773Y 036 057 gtQSM77 Sjw7yrSIw3 quotm7gt7 c 650 056 50569 cg 70 as 7 350 V smK iWKNQWV a pf WOO x3 x 7 15112ij ggzyx 61am 391 1393 1 24 Lt i cuquot Zyy gt quy 4 qxly xiHf T 7 XL9gt Zq V q x17 ka Hm157C 4257 2 9X7 ILXG L WS ZGXyL7lt7 17LLJ V L139 Kikyb C7 742 IIILI II I jl X I I it 7 X 7 quotIL H AX Z l a XFZ f A TAX 1 7 P1CIJLCa IE 51 21 L1gt Y ZCX AF7 J7C 2 ED FEE 439 xiii 5 u 239II 5 v 1 7 L I Sr d vll s curr3 y y A X 5 1 tI 3 0077 X Olt v r 4f l074 0 739 W o M was HM 3amp Shaw that the sum 01 tha x and yinmrc pts 0f anyr tangmt line to the am vquot J t is Equal to c 41 L z 7 17 7 0 l 2 7 V zquot Y v7wffvfl 7 7 watrm yadVC W M PicQ 4 Polw7L C79 70 CXDJCVE fif V JET R 7 09 Tim x 2 7 0 v2rL i Title Jul 30859 AM 14 of 17 52 Find equatiuns of beth the tangent lines m the ellipse I 4 E 36thatpassthmugi1 the paint ll 3 2 lt 7L ab y o Wy L 2 7lt 7 a X gt 7 12 3 gMPPOfQ a5 46 70 quot5 A 39 X6 we slam 445 V XD JZ gya 0 be game 2 QYol Wo x QX 1 a o 17 m m we 0 7 XoL Fq Yf P3 0 SHE 7 Viv 1 1YDL 4710 ZD36O 2gto7 476 36 2 g ue av 70 Mus5 Odd 5557 g f g 7 N Title Jul 30904 AM 17 of 17 my ijrl 12 38 5 1w 4mm 50 r M x 71 m 7a 2 In 003 2921 Y9 1 gt652quot 39vvl WM x lei 01 0252 Uzjf 300 Title Jul 16 820 AM Page 1 of 8 0 Gus 954 4m x x 15 inndam 4 g as lac xao Ky 1 TVLWx Q3 5000 oo 1mm 06 J lt 0 Title Jul 16 826 AM Page 2 of 8 3 a From he graph of f state he numbcrs at which f is 395 0 inuous and explain w y b For each oftha numbers statcd in part a dttermine whether f is continuous from the right or from he left 0139 nsithar 39 bL Jt w 5 H quoti 1 15 1V A W N 1L 6 x 0 m 1 1 l b DU E Twlie Jui 1678 31 AM Page 3 0 8 5 Skexch ma gm Except a 3 039 function mm 13 d is camimmu v Wh B 39n ms av 11 l c0 5 from me a at Title J ul16 844 AM Page 4 of 8 9 If and g are continuous functions with f3 5 and 39 1mm 2m 7 gx 4 nd g3 By m4 1m 1406 cm 390 m BY 4quot va 600 39 535 039 139quot X95 2 w 4 Y 1 NM 15quot I 2 4 Y Y 1c 58 1 7 913336 Twl e Ju 1678 47 AM Page 5 0 8 19 f I I f x 1392 Jr3 Ive1 X r3 if 1 I 3 if x 3 6 9 3 OHS x3 x 15 Title Jul 16 852 AM Page 6 of 8 E The Intermediate Value Theorem Suppose that f is continuous on the Closed inter val 1 h and let N be any number between g and fb where u b Then there exists a number E in a h such that t N m Title Jul167925 AM Page 7 of 8 Fraud V2 5 Lc fwcca 2 K43 Sol XL539 m m rs Xz S 30 5 5 E L 15 g 5 ki Tkmr xl fra oh CZJ3 Jud Jun 50quot f LNH R15 lt r C3 71 25 J 25 Title Jul 16 927 AM Page 8 of 8 at f M 6mm Su x C9509 25 HCA o 7lt Title Jul 29 807 AM Page 1 of 11 9 If a stun is thmwn vcrtically39 upward from the surface of the mmn with a velncity 0f 1U mfg its Insight in mama aftezr r munnds is h II 1833 a What is the velucity of the stone a ar 3 3 Kb What is the whenquot M the 3mm a ar M has risen 25 m 60 1 2 fir of39 653121 0 I b H a 39 663 7 25 045 03361 I xz39bjde P fc 7 84C o e LC 2 5 a 03935 I 1 o C 73 Title Jul 29 810 AM Page 2 of 11 I1 11 Sodium chlmulr crystals are 63ij u gmw in the shape Uf cubes by alluwing a snlutien of warm and stadium chlorate n cvupumle sanIy If V is the VU IUME nf nch a sub with side length I ca culate dex when I 3 mm and explain it maaning 3 L V x bi 33 427m AV 3x2 90 M f 1h Shaw that the rate If Chang39s If the whim If a cube with respect in its edge length is Equal to halfthc Hurf cr arm Hf thus Euhcs Explain geummically why this result is mm by arguing by analngy with Exercise 1 Nb SA I 67kL taxi 87 JV a 4A x Title Jul 29 820 AM Page 3 of 11 16 a The volume of a growing spherical cell is V gm when the radius r is measured in micrometers 1 mm UTquot my Find the average ram 0f change 01quot V with respect to r wh n r changes from i 5 to 3 put ii 5 to 6 pm iii 5 to 5 um 13 Find the instantancnus mm of change of V wilh respect to r when r 5 pm 2 Shaw that the ram 0f change of ma volume of a sphere with respact to its radius is equal In its surface Explain genmetrically why thin result is true Argue by analugy with Exercise 13M v 3 NS 0 if39rrbquot 5ka Mr 5 M b AV 4 3gt L 3 W A EL r P11 Mquot L 3 a 9A Title Jul 29 833 AM Page 4 of 11 E 39 Newton s Law of Gravitatiun stays that the magnitude F 0139 the fame exerted by a hard at mass m cm a handy at mass M iii GmJW F 5 TI r where G is the gravitatiunal mnstam and r is the distance between the bitdli ta Find d dr and explain its n1cm1ingWhat times the minus Sign indi a t t h Suppnse it is knuwn that Earth attracts an object with a fume that d r at tht ran 1139 2 kam wth r EILUUU km Haw fast dues this farce change when r titl ttt km it A 31 QMMZr zgt 4V 4 ZCWM r3 Title Jul 29 839 AM Page 5 of 11 HI If f is thc focal length of a comex lens and an object is placed at a distance p mm thus lens than its imagc will I at a dis tance g from the lens where f p and q are related by the lens aquarium l 1 1 f P r1 Find me mite of change if p with mspccl 10 3 N9 4 5194 L 1 3 i L P 4 i 4 P 4143 910 P 1 H 4 1 7 4 MP Title Jul 29 848 AM Page 6 of 11 ah f39ir a TEE vi 21 g F6 2 8 41M 43 1Jc5 83 1 5 47 g zo 942fL S Title Jul 29 854 AM Page 7 of 11 3 y If sin 3 I 7 yIr V I a S39me Q ease I 056 059 98 vxe 13 S39Ma 9 0S9 l Title Jul 29 921 AM Page 8 of 11 Title Jul 29 927 AM Page 9 of 11 Y 0549c Y 2 4 GEM 479 y q739 CDS4 7 gt 4ra7 D Title Jul 29 931 AM Page 10 of 11 S Zo 23 13 Title Jul 29 936 AM Page 11 of 11 39939 A farmer waner to fence an area ml 5 million aquzue feel in 1 rectangular eld and then Elmcm it in half with a fence parallel to tune ml the sides of the rectangla Hum can he dc this it as 3 minimum the cast at the t enue f39 7L y I 5 M quotHT I s 7czy 7 9quot 39F quot rc 4663 1 loan 3900 343 0 7w 1 un 57 734 35 gnum cdm we Title Aug 7 809 AM Page 1 of 11 u n mac 1in a mum u mum u make a m wnh uumre Lme and m npcn mp mm m ngcsl gamma volume n m m y 0444 7 4 w s 7 L 7 Vaws x mm x g x hu7xa 1r lzou 4 lx r J for Kquot iquot x I 1 x a non InK Y f u 9 1a Title Aug 7812 AM Page 2 of 11 i5 Find the point on lhe lint 7v 211 17 that is closest m the migin XBl 5 o5t J JX yL 2 F U K 2lt7 Title Aug 7 812 AM Page 3 of 11 1399 Find the di mensims of me reclangie of largest area that can be inscribed in a circle 01quot radius 139 17c L x17L Y Ana 39 5 wry IAN LI 14 7quot lg Y1 11 5mm XIVL 4 9 5 53 221LXVL9x3 32X 7L39L x1 Q Y X J L L i 3 r igty 7quot J Title Aug 7 813 AM Page 4 of 11 IL Find the dimensions 3139 111E rectangle of largest sue1 that can be inscribed in an equilmer trianglna 01quot side L if tune side nf the rectangle lea m the base If the triangle q A 39l w I an 39 a I m Jaw 04 4w bagIr oJiq 4 0 4 shape I EJ 7 Avet IS 1 7CY Z7Cquot JE Eqgtf 2 7 L2J vlt g39 x J57 z 7 7 a Title Aug 7 813 AM Page 5 of 11 24 Find the area Elf the largeat rectangle 111m can he iiu139jbell in a right Lidangle with leg of lengths 393 cm and cm iquotl u1fcja sidm ut the recitingch lie mall the Title Aug 7 814 AM Page 6 of 11 M The mp and hcatmm margins 0f 3 p m39 an cramh 6 um and the Side margins are 31th um If the area if primed material an the hamster Ls tixed at 334 cm nd the Eljn39lmmmna mquot the plaster with the smallest area Title Aug 7 814 AM Page 7 of 11 El A piece nlquot wire it in icing it cut irttt391 tern pieces ne piece is bent inter 3 square and the ether is bent intn it equilateral triangle How slintild the titire he cut an tittrt the tntrtl men enelneerl is in at inrntjntttn Eb A rnininntntquot Title Aug 7 815 AM Page 8 of 11 33 A cylindrical can witlmul 1 1211 i made 3 cant111 1311113 nim t39 quLljuzL Find the cljmmmi na hm WM n nimim hrs mm atquot the metal to make the can Title Aug 7 816 AM Page 9 of 11 3i nnne with height h is 39tnnnttihen in a larger enne with height H St that he tenets is at the center nf the hatee n f the anger enne Shew that the inner enne has t nt m39tmum t39nhtn39te when h H Title Aug 7 817 AM Page 10 of 11 Title Aug 7 817 AM Page 11 of 11

### 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

#### "There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

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

#### "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!"

#### "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."

### Refund Policy

#### STUDYSOUP CANCELLATION 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 support@studysoup.com

#### STUDYSOUP REFUND POLICY

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: support@studysoup.com

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 support@studysoup.com

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.