This** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*
This** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*
**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
- Wade
- Calculus, Linear Equations, Equations