Polynomial – when n is a positive integer ,the expression a0xn + a1xn-1 + a2xn-2 +…+ an is called a polynomial in x where a0 , a1 , a2 ,….an are constants.
Degree of polynomial – the degree of a polynomial is the highest of the degrees of the polynomial’s monomials with non-zero coefficients.
Rational fraction – an expression of the form P(x)/Q(x) , Where P(x) and Q(x) are polynomial in x.
Proper fraction – If the degree of P(x) is less than that of Q(x) then P(x)/Q(x) is called as a Proper fraction.
Improper fraction – If degree of P(x) is greater than or equal to Q(x) , then P(x)/Q(x) is called an improper fraction.
Related rates problems involve finding a rate at which a quantity changes by relating that quantity to other quantities . The rate of change is usually with respect to time .Here are nine important problems based on the concept related rates ,Try these problems and post your answers .
Second law of thermodynamics is about the extent and direction of energy transformation.
i) Kelvin’s statement
It is impossible to obtain a continuous supply of work from a body by cooling it to a temperature below the coldest of its surroundings.
ii) Clausius statement
It is impossible for a self acting machine unaided by any external agency to transfer heat from a body at a lower temperature to another body at a higher temperature.
(iii) Kelvin – Planck’s statement It is impossible to construct a heat engine operating in a cycle, that will extract heat from a reservoir and perform an equivalent amount of work.
