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Tn Class 11 Maths Solutions for 9.1.22 is given in a real board in a hand written format. This would be useful for students to understand the solution in easy and simple manner. The grasping power increases by reading the solution in a notes format. Hence we have given all the solution in volume 2 in this board format. Please share with your friends if you find this format useful.
Calculus is a part of mathematics that deals with the ratio of change of amounts.Pre-calculus is one of the two different kinds of calculus.Precalculus is mostly static while Calculus is dynamic.Pre-calculus talks about the slope of a line and the rate of speed of a moving object.The rate of speed of a changing speed object and the slope of a curve are dealt with in calculus.
If you take1The physicist tries to calculate the rate of change in thevelocity of the objectThe rate of change from one substance to another is tracked by the chemist.The biologist deals with the change of population of a species over a period of time.Over time the economist deals with the rate of change of the share price and economic indexes.
It is important for students to learn calculus as it can be used in any of the professional careers that they will be taking over in their life.The calculus was introduced in both England and Germany at the same time by two different people.After becoming an expert in mathematics Newton spent his time inventing new concepts that related to the rate of change.This affects the birth of Calculus.There is a dispute about who discovered the earliest form of mathematics.
Cauchy is a mathematician and a major contributor to the field.He created the formula for the limits of difference quotients and created a definition of a limit.Karl Weierstrass a major mathematician contributed to math.Limits differentiability and continuity are some of the concepts he gave a German mathematician.Pre-calculus methods can be used if we want to calculate the tangent to a circle.
We can use pre-calculus methods to analyse the area of a square but we need to use the calculus methods in order to analyse the curve.The three stages of Calculus are shown in theThe first part is pre-calculus followed by the limit process and then the final part is the calculus.Without knowing the definition it is not a good idea for students to learn a set of formulas.The concept of limit was created by Louis and Karl during the 19th century despite the existence of calculus for 1000s of years.