The Cartesian product `A xx A` has 9 elements among which are found (-1, 0) and (0,1). Find the setA and the remaining elements of `A xx A`.

Find the product: 3/10xx (-9)

If the set A has 3 elements and the set B = {3, 4, 5}, then find the number of elements in (A xx B) .

Find the product: (-6)/5 xx 9/11

Let A = R xx R and * A xx A rarr A be defined as (a,b) * (c,d) = (ac-bd,ad+bc) for all (a,b), (c,d) in A. Find the identity element of A w.r.t. '*' and invertible elements of A.

Find the product: 9/2 xx ((-7)/4)

Radioactive element A are being produced at a constant rate alpha . The element has a decay constant lambda . At time t=0, there are N_0 nuclei of the element. If alpha=2N_0lambda , calculate the number of nuclei of A after one half life of A and also limiting value of N as t rarr infty .

Radioactive element A are being produced at a constant rate alpha . The element has a decay constant lambda . At time t=0, there are N_0 nuclei of the element. Calculate the number of nuclei A at time t.

Find the largest value of a third order determinant whose elements are 0 or -1.