P5.1.7 (a) How many strings, as a function of n, are in the language (a + aa + aaa)n? Prove your answer by induction on n. (b) Repeat part (a) for the language (b + ab + aab)n.

The manufacturer of a new product developed the following expression to predict the monthly profit, in thousands of dollars, from sales of the productwhen it is sold at a unit price of x dollars.-0.5x^2 + 22x - 224what is represented by the zero(s) of the expression? a.the profit when the unit price is equal to 0b.the unit price(s) when the profit is equal to 0c.the profit when the unit price is greatestd.the unit price(s) when profit is greatest