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Tn Class 11 Maths Solutions for 9.5.11.3 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 the part of math that deals with the ratio of changes of quantities.Pre-calculus is one of the two different types of Calculus.Precalculus and calculus are static and dynamic.Pre-calculus deals with the slope of a line as well as the speed of an object.It deals with the slope of a curve and the rate of speed of an object that is changing.
If you take areThe physicist will try to calculate the rate of change in the object'svelocity by dealing with it.The chemist deals with the rate of change of a substance.The Biologist deals with changing the population of a species over time.Over a period of time the economist deals with the rate of change of the economy and share price.
It is important for students to learn calculus as it is applicable in any of the professional careers they will be taking over in their lives.The calculus was introduced to the world by two people.After becoming an expert in mathematics Newton spent his time inventing new concepts related to the rate of change which is where the credit for the differential calculus comes from.This makes the birth of Calculus possible.There is a debate over who was the first to discover mathematics.
One of the major mathematicians who contributed to calculus is Louis Cauchy.The first mathematician to create the formula for the limits of difference quotients was he.Karl Weierstrass is a major mathematician.The german mathematician gave the ideas of limits differentiability and continuity.Pre-calculus methods can be used to calculate the arcs to a circle.
We can use pre-calculus methods to analyse the area of a square but we need to use the Calculus methods to analyse the area under a curve.The three stages of calculus are shown in the is theThe first part is the pre-calculus and then the limit process and finally the calculus.It's not advisable for students to learn a set of formulas without knowing what the definition is.The concept of limit was only created during the 19th century by Louis and Karl despite the fact that calculus has been around for 1000s of years.