How g and G are related?

How are /_\H and /_\G related to each other as.

If A = {1,2,3} and f,g are relations corresponding to the subset of A xxA indicated against them,which of f,g, is a function? Why? F(1,3),(2,3),(3,2) , g = (1,2),(1,3),(3,1)

What is the value of 'g' and 'G' at the centre of earth?

If A and G are the A.M. and G.M. respectively between any two distinct positive numbers a and b then show that A > G.

If f,g, and h are differentiable functions of x and (delta) = |[f,g,h], [(xf)',(xg)',(xh)'],[(x^2f)' ',(x^2g)' ',(x^2h)' ']| prove that delta^(prime) = |[f,g,h],[f',g', h],[ (x^3f' ')',(x^3g' ')',(x^3h ' ')']|

How is the band gap E_g of a photodiode related to the maximum wavelength lambda_m that can be detected by it?

Mass of one atom of the element A is 3.9854 xx 10^(-23)g . How many atoms are contained in 1g of the element A ?

Which of the following equations are exothermic or endothermic? N_2(g) +O_2(g) +180 kj gives 2NO(g)