Let L1 and L2 be two languages produced by grammars of a certain type. Let L be the language which is the concatenation of L1 and L2. We want to tell for various types of grammars that produce L1 and L2 what type is the concatenation L. Choose the triple (type1, type2, type3) so that when the grammar that produces the language L1 is of type1 and the grammar that produces the language L2 is of type2, then the grammar that produces the concatenation language L may not be of type3.Note: A linear grammar is a context-free grammar in which no production body has more than one occurrence of one variable. For example, A → 0B1 or A → 001 could be productions of a linear grammar, but A → BB or A → A0B could not. A linear language is a language that has at least one linear grammar. a) (regular, regular, context-free)b) (linear, regular, linear)c) (regular, linear, regular)d) (regular, regular, linear)

Write a program that takes in 3 inputs [players (int type), expected game time (double type), team (char type)] and calculates actual game time (double) based on the following conditions: if the number of players or the expected game time is less than or equal to zero, it should output wrong input if the number of players is greater than 0 and less than or equal to 6 and if they are on the â€r’ or â€r’ team, their game time will be 10% faster. and if they are on the â€b’ or â€b’ team, their game time will be 15% faster. and if they are on the â€y’ or â€y’ team, their game time will be 20% faster. and if they are on any other team, they will play 0% faster. if the number of players is greater than 6 but less than or equal to 12 and if they are on the â€r’ or â€r’ team, their game time will be 20% faster. and if they are on the â€b’ or â€b’ team, their game time will be 25% faster. and if they are on the â€y’ or â€y’ team their game time will be 30% faster. and if they are on any other team, they will play 0% faster. if the number of players is greater than 12 but less than or equal to 18 and if they are on the â€r’ or â€r’ team, their game time will be 30% faster. and if they are on the â€b’ or â€b’ team, their game time will be 35% faster. and if they are on the â€y’ or â€y’ team, their game time will

Write a function named printfloatrepresentation(float number) that will print the floating point representation of a number using the format given below. (sign bit) exponent in binary (assumed bit).significandfor example if the number passed an argument is 71 yourprogram should print (0) 10000101 (1).00011100000000000000000similarly if the number passed to the function as argument is -71 the program should print (1) 10000101 (1).00011100000000000000000

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?