*:`RxxRrarr R` is given by` a**b=3a^2-b`.Find the value of 2*3.Is * commutative?Justify your answer.

ast:Rto R given by aastb=3a^2-b Find the value of 2ast3 . Is ' ast ' commutative? Justify your answer.

2Na + H_2 to 2NaH . In this reaction ? Justify your answer.

Find out the eukaryotic ribosome. Justify your answer

Consider f:RtoR given by f(x)=5x+2 Is f invertible? Justify your answer.

a) Which one has greater size, Na or K? b) Justify your answer.

Consider the binary operation **:QrarrQ ,where Q is the set of rational numbers,is defined as a*b=a+b-ab.(i).Is * associative?Justify your answer.

Observe the figures given below.Identify the gametes in Aand B. Justify your answer.

Let ast be an operation such that aastb=LCM of a and b defined on the set A={1,2,3,4,5} . Is ast a binary operation? Justify your answer.

Given P(n):3^(2n) 1 is divisible by 8. Is the statement P(n) true for all natural numbers? Justify your answer.