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..

Limits of Trigonometric Functions and Sandwich Theorem: for all x in some open interval containing c and suppose ..

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..

The fundamental theorem of calculus is the statement that the two central operations of calculus, differentiation and integration, are inverse operations: if a continuous function is first integrated and then differentiated, the original function is retrieve..

Let f(x) be a continuous function defined on an interval [a,b]. between the limits a and b. This statement is also known as 'fundamental theorem of calculus'. We call b, the upper limit of x and a, the lower limit. If in place of F(x) we take F(x)+c as the va..

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(..

As the sample size n increases without limit, the shape of the distribution of the sample means taken with replacement from a population with mean μ and standard deviation σ will approach a normal distribution. This distribution will have mean μ and standard deviation σ ..

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..

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..