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Interesting relationship between the graph of a function and the graph of its inverse : There is one last topic that we have to address quickly before we leave this section. There is interesting relationship among the graph of a function and the graph of its inverse.
Following is the graph of the function and inverse of the above examples.
we can illustrates that the graph of the inverse is a reflection of the actual function regarding the line y = x . It will always be the case with the graphs of a function & its inverse.
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Right- and left-handed limits : Next, let's see precise definitions for the right- & left-handed limits. Definition For the right-hand limit we say that, if for eve
The C.P. of 20 articles is same as theS.P. of x articles.Article profit is 25%.Find x
Longer- Term Forecasting Moving averages, exponential smoothing and decomposition methods tend to be utilized for short to medium term forecasting. Longer term forecasting is
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Differentiate following functions. (a) f ( x ) = 2 x 5 cosh x (b) h (t ) = sinh t / t + 1 Solution (a) f ′ ( x ) = 10x 4 cosh x + 2x 5 sinh x (b) h′ (t ) = (t
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Factoring polynomials Factoring polynomials is done in pretty much the similar manner. We determine all of the terms which were multiplied together to obtain the given polynom
in triangle abc ab=ac and d is a point on side ac such that bc*bc=ac*cd. prove that bc=bd
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