Question 2 (15 points) Write a program that contains your name as a comment and does the following: 1. define g) =3x2 - 27 2. find the x-coordinate where the slope of the tangent line to the graph of g is equal to -6. 3. find the roots of g. find the area over the graph of g and below the interval [-3, 3] g(x) 5. find lim -3 x21+ x2 Question 2 (15 points) Write a program that contains your name as a comment and does the following: 1. define g) =3x2 - 27 2. find the x-coordinate where the slope of the tangent line to the graph of g is equal to -6. 3. find the roots of g. find the area over the graph of g and below the interval [-3, 3] g(x) 5. find lim -3 x21+ x2