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Introduction to Differentiation
After having studied functions, limits and continuity in the previous chapter, we shall further divide the class of continuous functions into two sub classes, derivable and non-derivable.After having studied functions, limits and continuity in the previous chapter, we shall further divide the class..
Muscular Contraction
Muscle is composed of a large number of muscle fibres. The muscle fibres are arranged in groups. Each group is under the control of a single motor neuron, the axon of which sends a terminal branch to each fibre of the group. All the muscle fibres of a group contract when a nerve impulse trave..
More Solved Examples
The mathematical concept of a function expresses the intuitive idea of deterministic dependence between two quantities, one of which is viewed as primary (the independent variable, argument of the function, or its "input") and the other as secondary (the value of the funct..
Limitations of Dimensional Analysis
Limitations of Dimensional Analysis - Dimensional analysis has no information on dimensionless constants. If a quantity is dependent on trigonometric or exponential functions, this method cannot be used. In some cases, it is difficult to guess the factors while deriving the relation conne..
State properties
State variables and functions may posses either extensive or intensive properties. Extensive properties are those, whose values depend on the quantity of matter contained in any system or size of the system. Typical properties are mass, volume, area, energy, number of moles, en..
Uncertainty in Measurement
Uncertainty in Measurement - When dealing with objects that can be counted, one can always get an exact answer. But while measuring the weight of a person, the volume of milk in a container, the length of a cloth etc. it is not possible to measure them exactly. The difference in the two situations ..
Muscular Contraction
Muscular Contraction - Muscle is composed of a large number of muscle fibres. The muscle fibres are arranged in groups. Each group is under the control of a single motor neuron, the axon of which sends a terminal branch to each fibre of the group. All the muscle fibres of a group contract when a ne..
Le Chatelier's Principle
The state of equilibrium in any system depends upon factors present in the system, such as temperature, pressure and concentration of various species. These factors are called reaction variables or parameters. A change in any one of the parameters may affect the position o..
Le Chatelier's Principle
Le Chatelier's Principle - The state of equilibrium in any system depends upon factors present in the system, such as temperature, pressure and concentration of various species. These factors are called reaction variables or parameters. A change in any one of the parameters may ..
Module Three: Anticipating Patterns
Module Three: Anticipating Patterns - Probability: Interpreting probability, including long-run relative frequency interpretation 'Law of Large Numbers' concept Addition rule, multiplication rule, conditional probability, and independence Discrete random variables and their probability di..
Module Three: Anticipating Patterns - Probability: Interpreting probability, including long-run relative frequency interpretation 'Law of Large Numbers' concept Addition rule, multiplication rule, conditional probability, and independence Discrete random variables and their probability di.. Result
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