A snowplow heads out to plow a 50 mile stretch of highway when there is already an inch of snow on the ground. The snow is falling steadily at a rate of one inch per hour. The speed of the plow is 50/d mph where d is the depth of the snow in inches.
How long does the plow travel this 50 mile stretch of road? (one way)
(In reply to re: numerical integration
"Is it still called integration when dt has not gone to zero?"
Yes; see Wikipedia's Numeric Integration article. Graphing calculators have NINT functions that use finite deltas for what amounts to Riemann sums.
Posted by Charlie
on 2010-09-13 15:29:45