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Quiz 2 Key - Fall 2010

# Quiz 2 Key - Fall 2010 - Qua& Z{46,5(52 x — 3x25 ’20...

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Unformatted text preview: Qua; & Z {46,5 (52% x —' 3x25 ’20 dx+ (25 sMx—X 31%)ch m5: 2306“ "5X2— ;Nw 250m max?“ Em / IgnCXﬂFﬂszX’SXB ~2>< ~1> 430%) = +3Zsinx —— x33 11% 5573 04.5) = 253mg 1314,43 WK ! ~i> Hm) ‘3 gzsmx — x35 {any 151%“) Han/w / _Va @ Cx+35 “(K {53ch dﬂrwﬂw E(>(2Jr\I?'X7")QLx 4 (xi xzv) (ngé +xdv):0 3 {ﬁx +v7-x‘cbt + {Nix +x QLV~X"V"<:LX —X \jdg9 :xzdxwlyzdx: ﬁvdwxadv :0 XZUWZNJ‘ 3 X3014) cw A, _ \H 2. X dy "V ml dV I ugtkgda’vg Lnl‘urj H’Vz'd'v " Syn/2. ‘ Mlxlg'iQ/WII+VZI~ +an"V +0, cu: + [520+15 A :5 2 (50%) a (swag 2(so++.m =3(50+t)“ f; [(50+t)L/3c:( : 3(50H'37’ (50+t)"A = (50+t)3+c/ Pr: 50+t + ¢ (50+t)’- 'ZOOO (170(be 1614M)t + 1%“! l 4000 l‘i‘? ’0 N00): (mean/0+er Differentiai Equations Quiz #2 Sections 2.1 —- 3.2 September 16, 2010 Name Make sure you show all of your work neaty on notebook paper and circle your answers. Solutions without correct supporting work will not earn credit. The problems must be in numerical order even if that means you need to use a separate sheet of paper for each problem. Solve: 1. (y2 cosx — 3x2y— 2x)dx + (Zysinx -x3 + lny) dy = 0 2. (x2 + yz) dx + (2::2 — xy)dy = 0 3. A large tank is partially ﬁlled with 100 gallons of ﬂuid in which 10 pounds of salt is dissolved. Brine containing 1/: pound of salt per gallon is pumped into the tank at a rate of 6 gal/min. The well-mixed solution is then pumped out a slower rate of 4 gal/min. a. Find the number of pounds of salt in the tank after 30 minutes. b. If we do not have to worry about the tank overﬂowing, when is the concentration of salt equal to one half of its iimiting value? 4. The number of N (t) of supermarkets throughout the country that use a computerized checkout system is described by the initial-value problem 71—: = N(1 — 0.0005N), N(0) = 1. If 2000 supermarkets are expected to adopt the new procedure over a long period of time, how many supermarkets are expected to adapt the new technology when t = 10? ...
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Quiz 2 Key - Fall 2010 - Qua& Z{46,5(52 x — 3x25 ’20...

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