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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 program that reads a set of floating-point values. ask the user to enter the values, then print • the average of the values. • the smallest of the values. • the largest of the values. • the range, that is the difference between the smallest and largest. of course, you may only prompt for the values once.

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