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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 of intervals, if "a" happens to be a real number, are:
(a, + ∞ is the set of all real numbers x such that a < x. (- ∞ a) is the set of all real numbers x such that x < a. [a, + ∞ is the set of all real numbers x such that a ≤ x. (- ∞ , a] is the set of all real numbers x such that x ≤ a.
(a, + ∞ is the set of all real numbers x such that a < x.
(- ∞ a) is the set of all real numbers x such that x < a.
[a, + ∞ is the set of all real numbers x such that a ≤ x.
(- ∞ , a] is the set of all real numbers x such that x ≤ a.
Consider the function f(x) = x 2 - 2x - 1. (a) Factorise f(x) exactly. (b) Find the exact points (x and y coordinates required) where the graph of y = f(x) cuts the x and y-
Multiplication of complex numbers: Example 1: Combine the subsequent complex numbers: (4 + 3i) + (8 - 2i) - (7 + 3i) = Solution: (4 + 3i) + (8 - 2i) - (7 + 3i
uses of vector in daly life
Solve 9 sin ( 2 x )= -5 cos(2x ) on[-10,0]. Solution At first glance this problem appears to be at odds with the sentence preceding the example. However, it really isn't.
cauchy integral theorem
Calculate the slope of the line: Example: calculate the slope of the line whose equation is y = 2x + 3 and whose y-intercept is (0,3). Solution: y =
how to solve for x
Next we have to talk about evaluating functions. Evaluating a function is in fact nothing more than asking what its value is for particular values of x. Another way of looking at
Suppose S = {vi} and T = {ti} are "easy" sets of knapsak weight. Also, P and q are primes p > ?Si and q > ?ti. We can combine S and T into a signle set of knapsack weight as follow
3. How are Indian customers visiting Shoppers’ Stop any different from customers of developed western countries? 4. How should Shoppers’ Stop develop its demand forecasts?
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