quiz03_soln - Math 155 Quiz 03 Name<_€\P_—...

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Unformatted text preview: Math 155 Quiz 03 Name: __\<_€_\P____— Instructions: This quiz must completed without the use of notes or books. You may use a calculator. Write clearly and ShOW all steps. 1. (2pts.) Suppose the size of an organism at time t is given by S(t)— — Soeo‘t. Find the time it takes for the 0 n Mto quadruple 111 size if 30— —- 2 and 05— — 3. 6H9: L? 55 ‘ B—Q , EAL! 77 a“ j 1—4 4-": M ’§ 111. >= W : 2. (3pts.) Consider the lung model With aosorption, Where the dynamical rule describing the concentration of oxygen in the lungs is given by ct+1= (1— q)(1— (1)015 +q'y. Suppose q = 0.2, 01- — 0.3, and ”y— —— 0.21 mmol / L Find the equilibrium concentration. ¢*:(\,o.z\(1-o.">3d + o oqz = o 63 o 10‘ .1 o 0%? z Oleécil’to‘OqZ 1 , ' ¢7 (_*;056C , <5.qu (3qu l1“. ‘ r 1" O‘ 0 a! S I L (pofiék‘k :o 092 => (f’ om; :7 WM/ 3. (5 points) Let f (x) = 1.0+ 5.0 cos(27r$4 3 00). Give the following values and graph the function. A average B amplitude 5 A1,% maximum é A43 minimum ’ (7/ period éf/ $6 phase 4. (1 EC.) In models of group behavior of animals, changes in the population of the group can result in sudden and drastic changes in behavior; why? ogr’i’TVC {cedbacK (”01/1 égfweew Meméefi o , Fea§€§ 4’le *“+€[°“' As 1011+: A m —1~ «0 91w“ ofi 11117136 raw? «VIC/cue? (”TIA s U03“ i” we w acts «1 (Mud/x alragv (t6 7" A Col/teflflcy Tn The Way We. (Iliad 111mm ...
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