according to the central limit theorem

Since a velocity gradient exists across the tube, the mean velocity of the liquid is to be considered. The viscous drag which comes into play when the liquid is in motion, is not taken into account. In above conservation principle, part of K.E. is converted into heat..

Limits of Trigonometric Functions and Sandwich Theorem: for all x in some open interval containing c and suppose Since f is sandwiched between two functions g and h, the above theorem is known as sandwich theorem..

Carnot engine is a reversible engine. It can be proved from the second law of thermodynamics that: All reversible engines operating between the same two temperatures have equal efficiency and no engine operating between the same two temperatures can have efficiency greater than this. This theo..

This theorem is a consequence of the principle of conservation of energy, applied to ideal liquids in motion. The theorem states that: For the streamline flow of an ideal liquid, the total energy (sum of pressure energy, potential energy and kinetic energy) per unit mass remains..

According to this principle, work done by a force in displacing a body, gives the measure of the change in kinetic energy of the bod..

According to this principle, work done by a force in displacing a body, gives the measure of the change in kinetic energy of the body. When a force does some work on a body, the kinetic energy of the body increases by the same amount. Conversely, when an opposing force is applied on a bod..

Evaluation of definite integral by changing limits after suitable substitution. Step I : Let z = g(x) be the desired substitution, dz = g ' (x) dx Step II : when x = a, z = g(a) x = b, z = g(..

Before describing the limits of trigonometric functions, we state few theorems along with Sandwich theorem, which helps in calculating a variety of limits in subsequent chapter..

Probability problems with finite sample spaces Conditional probability Discrete/continuous random variables Mean, variance of discrete random variable Standard distributions Mean, standard deviation of normally distributed random variable Central limit theorem Line..

Photosynthesis is influenced by two categories of factors - external or environmental and internal or plant factors. According to the law of limiting factors, put forward by F.F.Blackman in 1905, photosynthesis is limited by the most limiting facto..