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This is the Exam of Calculus Two for Biological Sciences which includes Numerical Sum, Approximation, Midpoint Rule, Terms, Modeled, Type Equilibrium Points, Starting Population etc. Key important points are: Average Temperature, Solid, Revolved Around, Region Bounded, Maintain, Rare Reptiles, Temperature Profile, Integrals, Being Drained, Water Is Left
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Midterm 1, Math 30, Fall 2008, 10/6/
revolved around the y-axis (10 pts)
temperature profile during the day is given by ) 48
T ( t ) Tm cos( t
= where t is in hours.
Find T (^) m so that the average temperature during 24 hours is 30C. (10 pts)
Evaluate the following integrals: Answer must be in terms of x
dx x
x 1
2 (10 pts)
dx x x
x
6
2 (10 pts)
much water is left in the tank after 50 min? (12 pts)
Time (min)
gal/min
Drain rate