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RATIONAL NUMBERS
All numbers of the type p/q where p and q are integer and q ≠0, are known as rational. Thus
it can be noticed that every integer is a rational number it may be defines as p/1. As like are 1/3, - 4/9 and 57
The rational numbers are similarly the real numbers with decimal expansions that are either
Terminating (finishing in an infinite string of zeros), for example 3/4 = .75000... = .75 or
Non-ermating Repeating (finishing with a block of digits that repeats over and over).
For example 23/11 = 2.090909... = 2.09. The bar defines the block of repeating digits.
IRRATIONAL NUMBERS
Real numbers that are not rational are known as irrational numbers. They are accurately the real numbers with decimal expansions that are non-repeating non-terminating.
200 + 406578
5.02
Examples on Log rules: Example: Calculate (1/3)log 10 2. Solution: log b n√A = log b A 1/n = (1/n)log b A (1/3)log 10 2 = log 10 3 √2 = log 10 1.
In a garden, 1/8 of the flowers are tulips. 1/4 of the tulips are red. What fraction of the flowers in the garden are red tulips?
Probability of A is 85% Probability of B is 45% Probability A and B 56% What is the probability of not either A or B?
Formulas of Surface Area - Applications of integrals S = ∫ 2Πyds rotation about x-axis S = ∫ 2Πxds rotation about y-axis Where, ds = √ 1 + (1+ (dy /
The sum of two consecutive even integers is the number 126. What are the integers? Two consecutive even integers are numbers in sequence, such as 4 and 6 or -30 and -32, that a
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Perform the denoted operation. (4/6x 2 )-(1/3x 5 )+(5/2x 3 ) Solution For this problem there are coefficients on each of term in the denominator thus
Arc Length with Parametric Equations In the earlier sections we have looked at a couple of Calculus I topics in terms of parametric equations. We now require to look at a para
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