(3 points) Section 4.1 Question 12: Define the complementary or(cor) of two languages by cor(L1,L2)={w:wL1orwL2}. Show that the family of regular languages is closed under the cor operation. (3 points) Section 4.1 Question 24 . For a string a1a2an define the operation shift as shift(a1a2an)=a2ana1. From this, we can define the operation on a language as shift(L)={v:v=shift(w)forsomewL}. Show that regularity is preserved under the shift operation