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Theorem If {a n } is bounded and monotonic then { a n } is convergent. Be cautious to not misuse this theorem. It does not state that if a sequence is not bounded and/or
The Distributive Law : If you were asked to mentally multiply 37 with 9, how would you proceed? 1 would do it as follows - 37 is 30 + 7, 30 x 9 = 270, 7 x 9 = 63, so 270 + 63, th
what is the difference between North America''s part of the total population and Africa''s part
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This time we are going to take a look at an application of second order differential equations. It's now time take a look at mechanical vibrations. In exactly we are going to look
Approximating Definite Integrals - Integration Techniques In this section we have spent quite a bit of time on computing the values of integrals. Though, not all integrals can
Logarithm Functions : Now let's briefly get the derivatives for logarithms. In this case we will have to start with the following fact regarding functions that are inverses of ea
The remainder when 5^99 is divided by 13 Ans) 8 is the remainder.
If angle between asymtotes of hyperbola x^2/a^2-y^2/b^=1 is 120 degrees and product of perpendicular drawn from foci upon its any tangent is 9. Then find the locus of point of inte
Impediments in time series analysis Accuracy of data in reflecting a) Drastic changes for illustration in the advent of a major competitor, period of war or unexpected chan
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