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MAT 132 Calculus II
November 15, 2000
Show all your work on these pages! Total score = 100
- The following calculators are allowed to be used on
this examination: TI-81, 82, 83, 85, 86; Sharp EL-8200, EL-8200C.
Any other calculator is subject to confiscation, and its
user may be accused of cheating.
- ONLY programs distributed in connection with MAT 131 and 132
may be stored in the calculators. Any other use of calculator memory
to store information relevant to this examination will be
- (30 points) Solve the following initial value problems, where
y is an unknown function of x. Show all your work.
The tank is in the shape of a cone.
A tank is in the form of a right circular cone with the point down.
The base of the cone is d = 6m in diameter, and the height of
the cone is h = 3m. The tank is filled with water (density 1000kg/m3).
Calculate the work it takes to empty this tank by pumping the water
out over the top. A kilogram
at the surface of the Earth weighs 9.81 newtons .
Solve the equation (x+iy)(3-i)=6.
Set up the integral giving the length of the graph of
between x=0 and
Posted Dec 4 2000