510ExampleFinal-1

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Save your worksheet with a filename consisting of the characters “Q7” followed by the code number shown at the bottom of page 1 and your full name (e.g., Q6 707 John Public). Drop a copy in the dropbox on the BioServer. 1 2 3 f 21 f 32 f 23 4 f 24 f 42

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03-510 Example Final Exam Name: ________________________ Page 7 of 7 7. (8 points) Consider a system of two state variables (e.g., reactants), A and B, whose direction field is: (a) Draw on this plot the trajectory that the system will follow starting from A(0)=0.1 and B(0)=1. (b) Draw on this plot the trajectory starting from A(0)=0.75 and B(0)=0.5. (c) Draw on this plot the trajectory starting from A(0)=1.5 and B(0)=0.75. (d) How many steady-state solutions does the system have (consider just the range of values of A and B depicted)? What are they?
03-510 Example Final Exam Name: ________________________ Page 8 of 7 8 . (20 points) Write pseudo-code, C++, or Java fragments for the following tasks: (a) Calculating a homology score H for two aligned sequences s1 and s2 of length l using similarity matrix M (b) Displaying an 8-bit h x w image I using a lookup table L (of length 256) and a function PlotPixel ( x , y , graylevel )
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• Fall '06
• miller
• example Final exam

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