Prove that to each quadratic factor in the denominator of the form
ax^2 + bx + c which does not have linear factors, there corresponds to
a partial fraction of the form ((Ax + B)/(ax^2 + bx + c)) where A and B are constant.
Using the method of dimension, derive an expression for the velocity
of sound waves (v) through a medium. Assume that the velocity
depends on: (i) Modulus of elasticity (E) of the medium
(ii) The density of the medium (ρ), take the constant K = 1
An unfair coin with the probability of getting
head in one toss = (1/5).
If coin tosses n times, the probability of
getting 2 heads is equal to the probability of
getting 3 heads. Find n