Need urgent help if anyone can provide me solutions of these two below questions: Advanced Theory of Computation Question No. 1: Convert the following PDA to a context-free grammar. P = ({q, p}, {0, 1}, {Z0, X}, δ, q, Z0, {p}) has the following transition function: 1. δ(q, 0, Z0) ={(q, XZ0)} 2. δ(q, 0, X) = {(q, XX)} 3. δ(q, 1, X) = {(q, X)} 4. δ(q, ε, X) = {(p, ε)} 5. δ(p, ε, X) = {(p, ε)} 6. δ(p, 1, X) = {(p, XX)} 7. δ(p, 1, Z0) = {(p, ε)} Question No. 2: Below is a context-free language. Devise a PDA that accepts the language by empty stack. First construct a grammar for the language, and then convert to a PDA. • {anbmc2(n+m) | n ≥ 0, m ≥ 0}

3.11.3 quiz: comparing and analyzing function typesquestion 4 of 102 pointswhat can you say about the y-values of the two functions f(x) = 3x2-3 andg(x)=2* - 3?

Match the function to its purpose. fast worth 50pts.

Write a program that has a conversation with the user. the program must ask for both strings and numbers as input. the program must ask for at least 4 different inputs from the user. the program must reuse at least 3 inputs in what it displays on the screen. the program must perform some form of arithmetic operation on the numbers the user inputs. turn in your .py file as well as a screenshot of your program's output. include comments in your code to explain how it works an example program run might look like (have fun with this and be creative): ‘what is your name? ’ “josh” ‘, josh. what is your favorite color? ’ “green” ‘mine too. do you also like ice cream? ’ “no” ‘josh, how old are you? ’ “40” ‘ and how many siblings do you have? ’’ “3” ‘that means you are one of 4 kid(s). is green the favorite color of anyone else in your house? ’