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For positive constants a and b, the force between two atoms in a molecule is given f(r) = −a r2 + b r3 , where r > 0 is the distance between the atoms. note: a and b are upper case letters. (a) find f '(r) = (b) find the critical point for f(r). r = (c) find f ''(r) = (d) find the value of r so that f ''(r) = 0.

Write a fragment of code that reads in strings from standard input, until end-of-file and prints to standard output the largest value. you may assume there is at least one value. (cascading/streaming logic, basic string processing)