Math Answers

A tightly stretched string with fixed end points x=0 and x=1 is initialy in a position given by y=y0 sin^3(pi.x/l). it is released from rest from the initial position. find the displacement y(x,t)

Do the functions y1(t)=root t and y2(t)=1/t form a fundamental set of solutions of the equation 2t^2 y'' +3t y' -y=0, on the interval 0 less t less ~? justify your answer.

A certain population is known to be growing at a rate given by the logistic equation dx/dt=x(b-ax) show that the minimum rate of growth will occure when the population is equal to half the equilibrium size, that is when the population is b/2a.

1. In how many ways can 30 identical balls be distributed into 7 distinct boxes (numbered box 1, ... , box 7) subject to the following conditions.
(a) With no constraints.

Trace the curve x(y^2+4)=8, stating all the points used for doing so.

An office have 2 types of employees

administrators (female=25, male=15)
operators (female=35, male=25)

If one person chosen at random, what is the probability that the person is

1) a male administrator
2) a female operator
3) male
4) an operator

Which of the following transformations will always produce a congruent figure?

2(4-7)

for the linear system of equations [1 2 - 2,1 1 1, 2 2 1][x y z] =[1 3 5] set up the gauss - jacobi and gauss - seidel iteration schemes in matrix form. also check the convergence of the two schemes.