With the curve 
parameterized by
with
, and given the vector field
the work done by
on a particle moving on along is given by the line integral
where
The integral is then
with
the work done by
where
The integral is then
The rain caused the River to raise a total of 6 2/3 inches. The river was rising at an average of 2/3 of an inch each hour. How
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