CalcBC9_5and6_review_SOLUTIONS.pdf

CalcBC9_5and6_review_SOLUTIONS.pdf - CachCQWSandfijeview...

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

View Full Document Right Arrow Icon
Image of page 1

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

View Full Document Right Arrow Icon
Image of page 2
Image of page 3

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

View Full Document Right Arrow Icon
Image of page 4
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

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    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.

    Student Picture

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

  • Left Quote Icon

    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.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    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.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern