Consider the even-odd language of strings, defined over ? ={a, b}, having even number of a’s and odd number ofb, s.
a) build an fa for the givenlanguage
b) build a transition graph (tg)that accepts the same language but has fewer states than fa.
c) find the regular expression(re) corresponding to tg accepting even-odd language (show all possiblesteps)

The volume v and paper surface area a of a conical paper cup are given by where r is the radius of the base of the cone and h is the height of the cone. a. by eliminating h, obtain the expression for a as a function of r and v. b. create a user-de ned function that accepts r as the only argument and computes a for a given value of v. declare v to be global within the function. c. for v ! 10 in.3 , use the function with the fminbnd function to compute the value of r that minimizes the area a. what is the corresponding value of the height h? investigate the sensitivity of the solution by plotting v versus r. how much can r vary about its optimal value before the area increases 10 percent above its minimum value?