Question 1: , then find the values of satisfying the equation. .

Answer:

Question 2: .

Answer:

Question 3: .

Answer:

Question 4:

Answer:

Question 5: .

Answer:

Answer:

does not exist since is not defined in .

Question 7:

Answer:

Question 8:

Answer:

Question 9:

Answer:

Question 10: and , then prove that for all

Answer:

and

for all

.

Answer:

… … … … … i)

… … … … … ii)

Adding i) and ii)

… … … … … iii)

Subtracting ii) from 1

… … … … … iv)

Adding iii) and iv) we get