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After t hours on the job, one factory worker is producing Q'1(t) = 60 - 2(t - 1)^2 units per hour, while a second worker is producing Q'2(t) = 50 - 5t units per hour.
a) If both arrive on the job at 8:00 AM how many more units will the first worker have produced by noon than the second worker?
b) Interpret the answer in part (a) as the area between two curves.
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Using a suitable change of variables, find the solution of (1/4)y''-((4z 2 +3)/(4z))y'+(z 2 +1)y=z 4 e (2z) , y(0)=y(1)=0.
Make a confidence interval at the 95 percent level
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