Relations and Functions
In our daily life, we come across many relations such as father-son, brother-sister, teacher-student and many more. In mathematics too, we come across relations such as . A is a subset of B . line l is parallel to line m . number m is less than number..
Working Rule to Check Whether a Differentable Function is Increasing or Decresing
(1) Let the given function be f (x) on the real number line R. (2) Differentiate the function f(x) with respect to x and equate it to zero i.e., put f '(x) = 0. Solve for x. These values of x which satisfy f '(x) = 0 are called Critical values of the function (3) Arrange these ..
Evolution Should not be Equated with Progress
. Speciation does not intend to convey the dieing out of one inferior species giving way to superior ones. Species adapt to the conditions available in their environment. Some older and simple species live on quite effectively. The scorpion, is one of the more primitive invertebrate which has lived..
Rational and Irrational Numbers Summary
is called a surd. All surds are irrational numbers. Rational numbers and irrational numbers together form the set of real numbers. All rational and irrational numbers can be marked on the number line. Numbers with surds in the denominator are supposed to be simplified by rationalisin..
Protoplast Culture
Protoplast Culture - Protoplast is a cell without cell wall. In plants, the cells are invariably surrounded by thick cell wall made of cellulose and pectin. During the process of tissue culture and using it for crop improvement, cell wall acts as a barrier to induce mutations or some times to devel..
Thomson's Model
Thomson's Model - According to this model, an atom can be considered as a sphere of uniformly distributed positive charge in which there are electrons distributed symmetrically. The electrons must be held by the positive charges by electrostatic forces. The mutual repulsions between the electrons a..
How is friction helpful?
. To stop the bicycle, we use the opposing frictional force between the brake blocks and the wheel rim. When the driver applies the brakes of an automobile, the friction of the brake lining on the brake drum slows down the wheels and enable him to bring the car to a stop. Friction holds a..
Fungi
differ from plants in several features. They do not have chlorophyll and they are saprotrophic in nature. It is presumed that when life first evolved on the earth it was neither in the plant form or in the animal form. Definite plant or animal status is said to have been attained muc..
Biotechnology
Biotechnology - Biotechnology is science of manufacturing useful substances, chemicals, medicines by use of living organisms and their life process. In fact, biotechnology is not a new science. Alcohol was the first product manufactured by ancient biotechnologist. In recent years, biotech..
Conservative Forces and Non-Conservative Forces
Let us consider two situations Suppose a block of mass 'm' rests on a rough horizontal table. It is dragged horizontally towards right through a distance 'l', and back to its initial position. Let ' m ' be the coefficient of friction between the block and the table. Let us calculate the w..
Let us consider two situations Suppose a block of mass 'm' rests on a rough horizontal table. It is dragged horizontally towards right through a distance 'l', and back to its initial position. Let ' m ' be the coefficient of friction between the block and the table. Let us calculate the w.. Result
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