let f: X-Y be a function and let A, B are subsets of X. show that f(A Δ B) is a subset of f(A) Δ f(B)
consider the relation defined on the set X of all real valued functions f: R-R by f R g if and only if f-g is even function. determine wether the relation is an equivalence relation on X.
Find all zeros of the polynomial 3x^3 + 10x^2 – 9x – 4 if one of its zero is 1.
The number of clients that enter a given store each hour follows a Poisson distribution with mean 3.25. We assume independence between the different hours. The probability that in a given hour exactly 5 clients enter the store is?
in the given figure abcd and pqrs are rectangles and q is the mid point of ac. prove that 1) dp = pc 2)pr = 1/2 ac.