applying 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..

It is the maximum value of static friction which comes into play when a body is just about to slide over the surface of another body. For an applied external force greater than the limiting friction, the body begins to move. Once motion has begun, static friction cannot be consi..

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

This theorem is a consequence of the principle of conservation of energy, applied to ideal liquids in motio..

Let f be continuous on [a, b] and differentiable on the open interval (a, b). Then (a) f is increasing on [a, b] if f '(x) > 0 for each x (a, b) (b) f is decreasing on [a, b] if f '(x) < 0 for each x (a, b) This theorem can be proved by using Mean Value Theorem. We sh..

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 ma..

Parallel lines and Triangles - So far we have proved various theorems on parallelograms. Let us now apply these theorems to prove a few interesting and useful facts about a triangl..

Work Energy Theorem - 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 for..

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..

Select the statement that explains why the mean value theorem does not apply to the function f ( x ) = | x | in the interval [-1, 1]. => | x | is not continuous in (-1, 1) or | x | is not differentiable in (-1, 1) or | x | is not continuous in [-1, 1] or | x | is differentiable ..