(a) Consider you are given two sets- A= {2, 3, 5, 9}, B = {5, 7, 9, 11}; What will be the output for the following set operations? (i) A∪B (ii) A∩B…

(a) Consider you are given two sets- A= {2, 3, 5, 9}, B = {5, 7, 9, 11}; What will be the output for the following set operations?

(i) A∪B

(ii) A∩B

(iii) A-B

(b) What is interpolation? Why it is required in engineering?

(c) What are absolute error and relative error? Describe them with an example.

(d) Solve the following system using Gauss-Jordan method:

2X₁ + 4X₂ − 6X₃ = −8

X₁ + 3X₂ + X₃ = 10

2X₁ − 4X₂ − 2X₃ = −12

(e) Consider that a bakery produces 10 different types of cookies. If you want to make boxes with 6 different types of cookies, in how many ways, you can make such boxes?