conclusion sequence and series


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PRE-CALCULUS
Limits of sequences, series Continuity, end behavior, asymptotes, limits Regression Law of Sines/Cosines, area formulas Parametric/rectangular forms of functions Vectors Even/odd functions, significant values Functions and operations Conic sections- applications ..
Arguments and their Validity
Arguments and their Validity - A compound proposition is a tautology if it is always true for all possible combination of the truth values of its components. If a compound proposition which is always false for all possible combination of the truth values, of its components then it is called a contr..
Ecological Succession
"The occurrence of relatively definite sequence of communities over a long period of time in the same area resulting in establishment of stable or climax community, is known as ecological or biotic succession". The first community which is inhabiting the area will be referred as 'pioneer ..
Introduction
The word 'Induction' means method of reasoning from individual cases to general ones or from observed instances to unobserved ones. Many important mathematical formulae are such that a result is formed by some means which does not provide for a direct proof. Mathematical Induction is a principle by..
Algebra I
Linear equations/inequalities Monomials and polynomials Factoring second and third degree polynomials Rational expressions/functions Quadratic equations Quadratic functions Exponents, factors, variation, exponential growth/decay Hypothesis, counterexamples Correlation for data Patterns, ..
Embryonic Development
Embryonic Development - All the events which change a zygote into a fully developed organism is called embryonic development. The entire process of development is called embryogenesis. Von Bear is called the "Father of Modern Embryology". Embryonic Development includes a definite series o..
Can electricity carry intelligence?
A steady current (DC) cannot carry any intelligence. This is because there is no variation in it. However, if it can be changed in some meaningful sequence, then it can be made to carry information (or intelligence). A continuous as wave as such also cannot carry intelligence. This is be..
Summary
All these evidences point to the fact that evolution occurs. The exact mechanism of evolution, however, is not yet conclusively proven. But constant study and research in the above fields is continuing for answers. Asexual reproduction results in identical offspring whereas sexual re..
CALCULUS
Limits- operations on functions Continuity of a function Intermediate value, extreme value theorem Derivatives, differentiability Derivatives of functions Chain rule Rolle's theorem, mean value theorem, and L'Hopital's rule Maxima, minima, inflection points, intervals Newton's method (app..
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