quiz02_soln - Math 155 Quiz 02 Name<__E‘_—_—...

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Unformatted text preview: Math 155 Quiz 02 _ Name: __\<_§_E‘[_—_— Instructions: This quiz must completed Without the use of notes, books, or calculators. Write clearly and show all steps. 1. (2pts.) Consider the discrete—time dynamical system bt+1 = 1.5bt for bacteria population. Suppose each bacterium has a volume of 103pm3. Write a discrete—time dynamical system for the total volume of bacteria. ,. 3 3 —; l. é) \Lt’ le-SJHAA’Sbt he?! s f V : b V \/ t lo m rt“ _ '6 - 11 /M {+| {03%,} (.5 ‘03:“; é VH , l 5V, 2. (3 pts.) Suppose ’Yt+1 : 0.5t”y_t+ 1. Rewrite this discrete-time dynamical system in terms of the exponential function (e). QmL057 Should) have (De 3 /\ 05‘ €- (Jc=o.StYO+l .— Q“ 3. (5 pts.) Suppose n+1 = 0.5x: + 2. Cobweb this discrete—time dynamical system for three steps, starting with $0 ~= 2. Graph the results, and explain the behavior of'x over time. Be P ’ sure to properly label your axes. > l We 7 5 0 p 1 l 2. 3 q 5 e fik 4. (1 EC.) According to article 2, researchers at MIT have recently discovered a protein that is unique for What reason? What is the purpose of this protein? (A' 75 o. {MK «QT-Hm 5 crogsi‘m) S UG’RLUHLv‘A :hyal‘olchf 'mMOVeS (he {ram 0‘6th Proteus 4’0 Veda/1‘6 ‘H‘MA prom )es‘troywl 67 the Protcocwm c Mériu;'{’o\7\ Marker— 6e7A4) ...
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