CalcBC9_5and6_review_SOLUTIONS.pdf

# CalcBC9_5and6_review_SOLUTIONS.pdf - CachCQWSandjeview Quiz...

• Homework Help
• 4

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

This preview has intentionally blurred sections. Sign up to view the full version.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: CachCQWSandﬁjeview Quiz 9.5-9.6 N0 Tl 89s 3 solve DEQs (linear equations) 1 predator/prey with multiple parts (10 answers) 9.5 — 9.6 Review Solve the differential equation. 1. y' = 2 + 2x3 + y + July I _- 7 +M7+MI><27 : 21" 2%; 7’+{“Iw><2')‘/ "3 20M“? I; e “L3 .1 3 I 3 ax 3% ~ w" 1! mx 3x ex 3% 53 y —+ (wiv~><’*')€ 7 2“ Zﬂ'l-XL) 63 mxwélﬁ ”xw‘kxl (43 \/ :: ..,.. 263 "‘1 C: L 3 C xiii): ”NW, y: “m2 -+— £6: air“ WZ + éxpéx} CatcBCQ_5and6_review (7(1) 2. x——+rV:x—y dx X7i+ Xy+~7 it >< Xyi+(><+t)‘/ ‘5’” X fﬂqw’" v‘e/ii'lw 7:36" 7‘: “3 T ’ Xﬂxyje‘t‘ )(ﬁx(l+né()\/ :zi)(@ * WK Awe.“ x >< Yﬁxyl mp (X‘ﬂ’lws €X>Y w Xﬁx (”‘ch V3.6? . X13 M (6, 0434' ‘X X X X“ Q \i \$1 X 62 m Ci Mt» C: ‘ X K i c, } “L a: re m M 4; mm» mm» o r ”“ ‘t” ”wwif” “MWMWﬁwWWMMWW' Y i X ”l“ x 6‘ x X e, w X 6’ k 3. Populations of birds and insects are modeled by the equations X dx 3;. aa- . . , w m. M ) (it: 3 0ft >{( i m zoo) E: 0.4.\-0.002.\)-’ Ez~02y+00000083y m 0' 3 y (l 25°00 " 3 Which of the variables, x or y, represents the bird populations and which represents the insect population? ‘ Ms W m w Explain» y “it b i at c w e A Mn ‘3 >< r ' We a t C We tr ‘) at E) Find the equilibrium solutions and explein their ) N ﬂex/L A signiﬁcance. (4:7) 49) em “I (2 w? (9059; ‘2” 00 (f3) MWM: v: #3“ _ c Find an expression for rip/(Ix. (A ’39” V A 7; m d The direction ﬁeld for the differential equation in part c is ’ (git: shown. Use it to sketch the phase trajectory corresponding to initial populations of 100 birds and 40,000 insects. Then M a“). 2 7 mi— 0,0053005? Y use the phasetrajectory to describe how both populations ' change. (9.44 X ”W t3 ' C) t? 2 X Y e Use part d to make rough sketches of the bird and insect {Y} ”’W““W“WW populations as functions of time. How are these graphs ,. related to each other? ' Bis L) H 3 t, _ r ,- e, ‘ “ﬁlth” Iron 2:22: 05; ..-N my Q: (.3 CHI} (9 '3 0 9 ft~\\\\ illlllll \xl/lh 30:33 - x / g 20 t .L whom, 0 . 2 0c; / j '0 0 _ _ _____ 20000 («mm-V Y_l____m; !_M.. ;M;s l W I 2 {:0 t: 1C1 ”E3 {QM bime ‘ \"”//l \ ~11 l/f fl/I/ \\\-’Ir//// I l l H h “\x \ H lﬂu CachC9_5and6_qreview Solve the differential equation. 3L” _. ,5. B 4 \ff:___.]’_~: Y 1"“):0 1‘ )0 Kiwi)!“ X + xTE ch‘ x+1 ' W" i Xr .(X’ig; W \j’w ”SWLW. \/ :2 f I : ﬁfxrxwyu X xﬁo A i X00“) minx+iafx+ﬂ I: e = wavfxwu ~ 5f-‘—(t+§g (Hiﬂr XMMXHWC» 0:" MOM. Ciwi *i,‘,f:‘?i‘ﬁ.:“f‘ ><"‘+ >< 14x I M >< x -+, Wm MW ”””””” or ww— ‘ x X~+~£ X~i~zix+lﬂ><1w~wlrj 353;? = 32+ 1:2 sin A7, 1%”) : 0 E m1 "J'g'édk “Any L V "4" m; \/ :2.“ ‘x 5‘“ >4 I '2 6 : {3 : W)“ L n W: m ‘ X7 + ;2 \l r 5““‘X "‘3? \’ :mCong‘wC; OZI+C CI—«I thxaonh-wx or “x(cosx+1) CachCQ_5and6_review I wf+0n "E; 05 {”3 yuytanf=1 1: f3 \ E (z 0 S at: ”' \l M” C 08 '{ZVLLQA {: q \l f. ( q) 5 JV" _ I COS t”! “ SEA-t - \I T- (05% \I 003% 31 SIA'E 4~ C: \/ : SM": ””14— Q. C 1.—~Wﬂ "Mum-r .4.-,,H,..,..»-- (J/ ”H r" M ...._.__.,,,,_u. (0th "La JE FCOSL 0r ...
View Full Document

• Fall '12

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern