Miracidia Speed

After hatching from their eggs, the speed at which miracidia move radially outwards in a search of a snail host is given by:

    \[\frac{dr}{dt}=\frac{32-2t}{5}\,\,\,\,\,cm/h, 0\leq t\leq 16\,\,hours\]

If the miracidia only live for sixteen hours, what is the maximum area of discovery they will cove?

Source: Rosenberg, R.L. (1984). Elementary Calculus: Course Notes. Ottawa, Canada: Holt, Rinehart and Winston. (Exercise 6: Question 3(v), p. 22)

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

Leave a Reply