solns-second-sample-midterm2

solns-second-sample-midterm2 - DPsQ3IG w IG A 8 G pP 8 PG A...

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Unformatted text preview: DPsQ3IG w IG A 8 G pP 8 PG A H HvH G P H @ A G C A A C H 3C w YRqP3irDpIqG333$ 3I5m q [email protected] pA hi8BG w ġ8 P Ep E AG Cpg A Hg 3r3FDCIrQ2DP$Q3qCA 9 hH 8 hH % 1 G 8 8 G 8 C Ep P A hi8339Iv w 3qE3 w v p Dp9w 3IR3Ds3DC3i5iDC9 p s H G H AP A PG Ap 8 G pP 8 PG A H HvH G G p 8 8 Dp9w vr p 3I5mG w iI$iDPh2sQ3IG w i2H Iv # "8 p 3C w r8$G w 3rqCirBqPA ۦ a S G w Isr3E w Wu 8 P Ep E AGCpg G HP p z { ~ { { | ~ ~ y ~ | FDx9}hr&3dkI3}{ 2 3 a a a a % D & 2 a c a d a c a b % E ` 2 ( Y ) R Y ( U T S W X2 2 V ( P U R ( I ( ) T S 2 2 Q 2 D ( P ( D ( I ( ) C Ep s H G pG HG AvGPHv EGP p rv w 3393I2IiqgIIsQsW is2IG Pv A E @ sQqH pA qi pG t&H y C w v 95% I3iqPg w I33 w H IG w sQiG 9w C w ! yw HP E pG A pv A CvH p S 8 8 hu3C w u G w QH y v wp DPts3iG w QuBQi3idIr p I3 r ru 3C w GP A Hv E vH @HG H G Hv HvH x 1 8 7 w 2 5 " 1 858 r8 S Q3E 9w Iv w 1 8 PH p H @pg pG P rQBi3qCA @ H v C p A C H v A G C p H A A @ A w I p rGrDpA y IDPirQ [email protected] w qP}3i5 HvH o C IQ3p 8 u Q3o 3C w w 2 CH CH o 3 CH o G HHP pG H A A o 1 &8 a3G w IQsiҺP w DPũGgp PG A p CH H G H g A p p GP E u u QIDCru Q3iR3 pE 3DC2IP 9w [email protected] H 8 Ir p IQiIv w IDCru 9w DgIqGI Hv HvH G H p PG Ap p A Avg H u 8 w w 8 u w w mm H A ovH CH o AG CHvH A G p C A CH 9sDPQ3IG 8 Q3! pH s w iQsQq39DP}m Q u 8 9c du 1 1 8 u 1 9c du t 1 @v H G PH G C E p s H G pG HG AvGP Ir p 3IQ9q w W 9sv w 3ruiiQIDgsiQH ( 8 A v AvHG A H G hr8qP}rqpIQIDC3iqCA GDCru 9w DgiGI2 p r63iF 1t i5m R3DCA x9 p Ap p A Avg Cp H G Hg u 8 v v 1 P vE 1 rf m3C w u 9p }9f 1 m}QH 3g 1 8 H G s H C E p s C H H G C p H A A @ GP E H 3iӨQ33rurDpA y Iv 3I93i5 Q [email protected] w [email protected] 2 H G & E F 2 ) 2 D E D 2 D 9 @9 B CA @9 9 7 8 6 # % 5 # 4 2 3 APP p @ o H s pG p @ p A E p P G A p o g pH DsIsruP w Iv w }P w 2IH Y23q p rIDCruG w p s t u Fr1 w u 1 w gt u u u t t p C AGgH A H G A p @ Ep P H P E 9DpihQsDv33IqCH Y p r3I3r3F w 1 t 1 t i5m Hw H h 1 9DpihQsDv3B3iqCYH B p rI3D p C AGgH A H G A p @ Ep P p A QrIQH qG3E w H vpGg A C A 9 pH DsIsruxP w p qg3F P w IiG w QuYi&DP36IP w IQDCIH Y63 p r3sYrqpiG APP p q A E Hv E vH @HG A H Hvg A pG p @ H E p P C A gH A o G Ap H G QsDv3xG w YC ' h 1 !DCru!3IG w p QsI3qPD G w I6I93E w G CHvv Eg A p A G HPp p 9H [email protected] C w gBD I3rDpA y I3iqC3iGo du i5m $H A y DPxi5m p A HvH o C Hv H G A A s C A G A qCrp w G w i3DEs pP H QQsv y qCAI3IG w BQI3I6G w isru33E Ǩ 1 P A PHH H Hv E vH @HG H G G HP p 8 G w Q3I9p!i3C w i 1 rDpIqGI9G w 393rIv y 3iBDC9q w stIYQqHiIv w vH G H G 8 C A APp H Cp C E p H G A PH GP pG AG H P H3IP w pH H3 y r pp H ŧ g w rQ3IP w pH xo2iQqHiDP33D y 3 w C GH H PH p G pG AG A p A p z { ~ { { | ~ ~ y ~ | FDx9}hr&3dkI3}{ 1 w g h g i5 i5 1 g 8 Iu i5mgH i 3I5mrm t u ( P ( g i 3I5mrms u i5mgg i5 w g h g h ( f ( Ǩ8G w 3h393Iv w p 39iH 8 H C H Gp C H P H vpGg H 3IG pHBrIRG w ii9p B rDpA y I3Ir p @pP G HG C Hv H G Cp H vrIgQH IGqA s3ihDg33iiqG53rqpih33E y DCgp Dpp p 3iG tg w iG $ pG P p Hv EG A H G A o P C AGg C A o H p H g w z { ~ { { | ~ ~ y ~ | FDx9}hr&3dkI3}{ e -1.5 -1.5 -0.5 -1.5 -1.5 -0.5 -1.5 -1.5 -0.5 0.5 1.5 0.5 1.5 0.5 1.5 -1 y -1 -1 0 1 y 0 1 y 0 1 -1 -1 -1 -0.5 -0.5 -0.5 Figure 5 Figure 3 Figure 1 0 x 0 x 0 x 0.5 0.5 0.5 1 1 1 1.5 y 1.5 1.5 -1.5 -1.5 -0.5 -1.5 -1.5 -0.5 -1.5 -1 -0.5 0.5 1.5 0.5 1.5 0.5 1.5 -1 -1 -1 0 1 0 1 0 1 -0.8 -1 -1 -0.6 -0.4 -0.5 -0.5 -0.2 Figure 6 Figure 2 Figure 4 0 x 0 x 0 x 0.2 0.5 0.5 0.4 0.6 1 1 0.8 1.5 1.5 1 y y q q r P r s q & ( Y r ( r r r s q 8 s8 s 8 E AG v wp QDgIsv w v H v H P H G A G s P E pvH 'C QH r p [email protected] w 23iqP!Is 5 h w Ysv w 3F 3sQ PDtH IG w I3 dw rDpIIDv sQH 8 Q3qCA A A AvH p C AGgH A v H Hg 8 v 9 p s s 5 HC @p 3hH DCA w r H G A 8 PG Ap p v 8 3iDCi86iqCr qp9w r p 8 G w iH I3 Dpp G pv A o H E r s q r w r w W u r r s W t r s q r w r s W u r w W t 6 & r w 9 @9 @9 9 r w q r 3 r w W u r s W t r w r ) ' ( r yx) ( r w u v r s t s r s q ' G GP C p QFC w srQg qPG w iH sv # qCA w 93DPicrI3FsH 8 5G w i$sru33E A G p @p A G C p HvH o v H G HP p hI3i0IqGH us w P w DP3i5YG w IIru33E s GHP H G A o p A G HPp PG Ap H p PH p H P H G Cp PH hs 5 iDCru3iG p Dp9w G w 3E 9w [email protected] w 3I969q w G P v p o vH G p C AGg C G GP C p A 3I9xQ3I9C ' 9Dpih33 E C w 3rQg w DP}s G w i}gp qpp p 'G G P o 8 s 5 s Dwp tI9 p E @v P E Hv H G Ev g H G s CH G 3rDpA I3Ri3C w pH IqCA w 3Iʨ3 hss s hH % s 8 s pG G C p A E H A C A A Cpg C H IFH 9w 3F DPrqpiG33rH A y v pGg vG H C p G GP C pg A G op pvH A rs9iH w I3iG y 9p 9w C w 3rDP6G w ig3 3IQ qPs C GgH A H G A G Ap H G rqpAihQIqv3R3IDCs DC93I}G w !H IG w sQ3 9w rqpihQIqv33I g w H p A AvH p C AGgH A H G v G H @ EP 9 p G w i}B3IsP ss rihQH 3i}us pH g w 9r $2DCH 3Qg vpGg H G H s G H vp A v E [email protected] w v w w 9H mArihQH w iG w AvG v pGg v H s 8 ġ Is hs s H % $ G CqA w rp3} pH 3IqGtqC pH s w iQsQq3}us S 3i5&hH % w } t @ p o P A A AG CHvH A H G z { ~ { { | ~ ~ y ~ | FDx9}hr&3dkI3}{ p ...
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