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The set of whole numbers also does not satisfy all our requirements as on observation, we find that it does not include negative numbers like -2, -7 and so on. To overcome this shortcoming, a set of elements called Integers had been constituted. This set is denoted by the symbol 'I'. It is represented as:
I = {.....-3, -2, -1, 0, 1, 2, 3,.........}
This set is definitely superior to natural and whole numbers in the sense that it caters to a larger audience as compared to the other number systems
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Example of Trig Substitutions Evaluate the subsequent integral. ∫ √((25x 2 - 4) / x) (dx) Solution In this type of case the substitution u = 25x 2 - 4 will not wo
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Use Newton's Method to find out an approximation to the solution to cos x = x which lies in the interval [0,2]. Determine the approximation to six decimal places. Solution
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If X = {a, e, i, o, u} and Y = {a, b, c, d, e}, then what is Y - X ?
the sum of the interior angles of a convex rectilinear figure is equal to sum of the exterior angles. then the number of sides is
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Intervals which extend indefinitely in both the directions are known as unbounded intervals. These are written with the aid of symbols +∞ and - ∞ . The various types
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