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Assumptions
The figures known are assumed to be a normal series, that is a series without any violent, unexplained fluctuations in the values. The period intervening the points of known data and the point for which an estimate is required is also considered to be a normal period.
For instance, when we require the interpolation of the population figure for the year 1985, we assume that between 1981 and 1985 there have been no cause for sudden jumps or declines in population such as war, flood, famine, cyclone and the like.
It is also presumed that the increases and decreases take place only at a uniform rate.
For instance, if the population in 1981, was 700 million and in 1991, 850 million, it is assumed that the accretion to the population has taken place at a steady growth rate.
Relative maximum point The above graph of the function slopes upwards to the right between points C and A and thus has a positive slope among these two points. The function ha
Monotonic, Upper bound and lower bound Given any sequence {a n } we have the following terminology: 1. We call or denote the sequence increasing if a n n+1 for every n.
a) The first comic book is of shakitman was sold in 1938. In 2010, the estimated price for this comic book in good condition was about $500,000. This represented a return of 25 per
if the ratio of boys to girls ism 3 to 5, then what percent of the students are boys
Joey has 30 pages to read for history class tonight. He decided in which he would take a break while he finished reading 70% of the pages assigned. How many pages must he read befo
Example of inflection point Determine the points of inflection on the curve of the function y = x 3 Solution The only possible inflexion points will happen where
what''s the beneit of study mathematics ?
2yx+3y=30
Rolle's Theorem Assume f(x) is a function which satisfies all of the following. 1. f(x) is continuous in the closed interval [a,b]. 2. f(x) is differentiable in the ope
Formulas
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