Joseph louis lagrange (1736-1813) conjectured that every odd natural number greater than 5 can be written as a sum a plus 2 b, where a and b are both primes. (a) verify this for the odd natural number 11. (b) verify that the odd natural number 17 can be written in this form in four different ways.

Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. how fast is the height of the pile increasing when the pile is 14 ft high? (round your answer to two decimal places.) ft/min