Final Exam Spring 2001 - Math 107 Final Exam and Solutions Professor Spruck x2 ln(1 x dx 1a(15 pts Evaluate Solution Let u = ln(1 x dv = x2 so du = Then

Final Exam Spring 2001 - Math 107 Final Exam and Solutions...

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Math 107 Final Exam and Solutions May 10, 2001 Professor Spruck b. (15 pts) EvaluateR31x2-x-2dxAx-2+Bx+1to findA=1 c.(15 pts) Assume that a random variable X has a normal distribu-tion with mean 12 and standard deviation 4.Find the probability that5.6< X <19.2 using the Z-table at the end of your exam paper. 1
2. (20 pts) Lety0(t) = 10-y(t), y(0) = 0. Findy(t) and show thatits asymptotic limit is 10 ast→ ∞. How long does it take for y(t) to reach87.5% of its asymptotic limit? Justify your answer.

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