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Assume that (X, d) is a metric space and let (x1, : : : , xn) be a nite set of pointsof X. Elustrate , using only the de nition of open, that the set X\(x1, : : : , xn) obtained by removing every xi from X is open in X. (Sketch a picture to get some intuition!)
evaluate the expression and write the result in the form a + bi. I^37
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
ARITHMETIC PROGRESSIONS: One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories Examp
Example of addition of Signed Numbers: Example: (-2) + 3 + 4 = 0 - 2 + 3 + 4 Solution: Thus: (-2) + 3 + 4 = 5 Example: 10 + (-5) + 8 + (-7)
The calculation of two complementary angles are in the ratio of 7:8. Determine the measure of the smallest angle. a. 84° b. 42° c. 48° d. 96° b. Two angles are compl
Determine or find out if the following series is convergent or divergent. Solution In this example the function we'll use is, f (x) = 1 / (x ln x) This function is
marks frequency 0-9 8 10-19 10 20-29 14 30-39 28 40-49 46 50-59 25 60-69 17 70-79 9 80-89 2 90-99 1 (
Sam's age is 1 less than double Shari's age. The sum of their ages is 104. How old is Shari? Let x = Shari's age and let y = Sam's age. Because Sam's age is 1 less than twice S
if 1/x+2, 1/x+3, 1/x+5 are in AP find x Ans 1/x+2,1/x+3, 1/x+5 are in AP find x. 1/x+3 - 1/x+2 = 1/x+5-1/x+3 => 1/x 2 +5x+6 = 2/ x 2 +8x +15 => On solving we get x
What is Modulo Arithmetic and what is an easy way to remember it?
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