Math Answers

A table has drawers. Drawer 1 contains two red and five black biros, draw 2 contains four red and three black biros and drawer 3 contains on red and six black biros. A drawer is chosen at random and a biro is chosen from the drawer. Find the probability that the biro chosen is from drawer 1 if the chosen biro is black

A club consist of 15 members. In how many ways can a committee of 3 to be chosen?

A soldier is firing at a moving target. He fires four shots. The probability of hitting the target at 1st, 2nd, 3rd and 4th shots are 0.6, 0.4, 0.2, 0.1 respectively. What is the probability that he hits the target?

A)517/625
B)3/625
C)105/625

In the first order differential equation
dy/dx=f (x, y) the function f (x, y) is a function of the ratio y/x:
dy/dx=g (y/x)
Show that the substitution of U=y/x leads to separable equation in U and x.

1.The number of volunteers of a worldwide organization has increased from 5.2 million in 2004 to 11.6 million in
2010.

​(a) Find an equation for the line containing the given points. Let x represent the number of years after 2000 and y the number of​ volunteers, in millions.
​(b) Estimate the number of volunteers in 2009 and in 2014

How 2×2 matrix with components A B C D . Transform under So (2)

WHAT IS MEAN BY (0,2) and (2,0) (1,1) tensor.

Give an example of a function that is plotted the same on a log-log scale as it is on a standard scale.

The decay of a population by catastrophic two body collisions is described by
dN / dt =- kN2.
where 2 is supersubscribe
derive the solution.
N(t)=No (1+ t/T) -1,where o is subscribe and -1
Supersubscribe

The general solution of
d2B/dr2+dB/rdr-B/a^2 =0
is B=C Io(r a) +D Ko(r/a)
In our particular case the solution is Ko.
How we get
B= (h/2 phi a^2) Ko(r/a)
Where h= magnetic flux= Integral B d2r. Phi=3.14. And a=(m/meu. n e^2) 1/2