Math Answers

How many pairs of dance partners can be selected from a group of 12 women

and 20 men

Let A consist of all 52 cards in an ordinary deck of playing cards. Suppose that

this deck is shuffled and a hand of five cards is dealt. A list of cards in this hand,

in the order in which they were dealt, is a permutation of A taken five at a tim

use Stokes theorem evaluate ∮A.dr, where A=y²i+x²j+z²k and C is boundary of the part of the plane x+y+z=1 like in the first octant

use Stokes theorem evaluate ∮A.dr, where A=-5yi+4xj+zk and C is cirvle x²+y²=4,z=1

using Greens theorem in the plane evaluate ∮(3x+4y)dx+(2x-3y)dy where C is the circle x²+y²=4 traversed in the counterclockwise sense

If fie=2x+2, evaluate volume integral where R is the region of the cube bounded by the plane x=0 ,x=1, y=0, y=1 ,z=0, z=1

Let R={(1,2),(2,1),(2,3),(3,4),(4,1) } be a relation on the A={1,2,3,4}. Find the transitive closure of R using Warshall’s algorithm.

The lines of electric force of two opposite charges of the same strength at (-1,0) and (1,0) are the circles through (-1,0) and (1,0). Show that these circles are given by x^2 + (y - c)^2 = 1 + c^2. Show that the equipotential lines (which are orthogonal trajectories of those circles) are the circles given by (x + c*)^2 + y^2 = c*^2 - 1.

 What is the probability of randomly picking a P500 bill

Determine whether f : Z × Z → Z is onto if f(m,n)= m-n