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Solutions to exam 2 for math 132, held on january 15, 2009. The exam covers various topics in calculus, including estimation, integration, differentiation, and geometry. Students are encouraged to check their understanding of the concepts by working through the solutions.
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Math 132 January 15, 2009
Name
1
x dx using SIMP(30). The actual value is 52/3 or 17.333333333333... so what is the error? Approximately how many rectangles would you need in order to have an error smaller than .0000001?
1
dx x(ln (x))^2
2
dy √ y^4 + 8
converge or diverge? Why?
(t − 1)^3 from t = 2 to t = 10/ 3
0
π(2^2 − (2 − y)^2 ) dy represents the volume of a cone or a hemisphere and y
measures a length. Decide which it is and draw a (rough) sketch of your choice labeling all known quantities. (Radius? height? width? variables? etc.)
