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Functions Limits and Continuity
The concept of limits leads to define and describe continuity and derivative of the function. The continuity of a function has practical as well as theoretical importance. We plot graphs by taking the values generated in the laboratory or collected in the field. We connect the plotted p..
Ordered Pairs and Cartesian Product
). Its usefulness is seen through emphasis on mathematising practical situations.Solving of problems depends on the ability to understand and apply mathematical analysis to different situations. In this chapter, we will study some fundamental definitions and application..
Application to Switching Circuits
The application of Boolean algebra to electronic devices such as computers, lies in the restriction of the variable to two possible condition 'On and Off' or 'True or False' or numerically '1 or 0'. The electric circuits carry out the Boolean logic. In practice, electronic engin..
Algebra of Events
In a random experiment, considering S(the sample space) as the universal set, let A, B and C be the events of S. We can define union, intersection and complement of events and their properties on S, which is similar to those in set theory. ii) A-B is an event, which is same as ''A but ..
An athlete wishes to estimate the mean number of miles run by him per ..
An athlete wishes to estimate the mean number of miles run by him per day during practice session. The number of miles run by him on 7 days selected randomly is 7.2, 7, 7.5, 7.8, 7.6, 8 and 7.5. Based on the sample mean, what is the point estimate of the mean? Find the 95% confi..
b) Water in milk
Mixing water with milk is a common practice amongst milk vendors. Take a drop of milk on a glass plate and hold it vertically. If the drop of milk sticks to the glass plate or flows down slowly, leaving behind a white trail, then the milk sample is pure. If the milk drop runs d..
Mole Concept
mole concept depiction Since it is not possible to calculate the weight of particles individually, a collection of such particles called mole is taken for all practical purposes. Avogadro discovered that under standard conditions of temperature and pressure, (1atm and 273K) a sample of gas occupies a ..
Mole Concept
mole concept depiction Mole Concept - Since it is not possible to calculate the weight of particles individually, a collection of such particles called mole is taken for all practical purposes. Avogadro discovered that under standard conditions of temperature and pressure, (1atm and 273K) a sample of ..
Hess's Law of Constant Heat Summation
G.H.Hess proposed a law regarding the heats or enthalpies of reaction in 1840 called the Hess's law. This law states that 'the heat change in a particular reaction is the same whether it takes place in one step or several steps'. For example, a reactant 'A' changes to a product 'B' in one step and..
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