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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!)
The product on multiplying - 4bc with 2a is - 8abc. That is, a term with minus sign multiplied with a term having a positive term gives a product which has a minus sign. On the
Find the present value of an ordinary annuity which has payments of 2300 per year for 15 years at 6% compounded annually
3/5 of the soda purchased at the football game was cola. What percentage of the soda purchased was cola? Change the fraction to a decimal through dividing the numerator through
Example of Multiplying Decimals: Example: 0.45 x 10 = 4.5. Same, while multiplying a decimal through 100, 1000, and 10,000, move the decimal point to the right the similar
The height of a parallelogram measures 5 meters more than its base. If the area of the parallelogram is 36 m 2 , what is the height in meters? Let x = the measure of the base a
Example of Integration by Parts - Integration techniques Some problems could need us to do integration by parts many times and there is a short hand technique that will permit
Q. Define histogram? Ans. A histogram is a bar graph that gives the frequency of each value. Here are a few examples to illustrate the usefulness of this method of data r
calculate the shortest distance between A and B 40degrees west and 50 degrees east respectively laying along 57 degrees north
show that all primes except 2, are of the form 4n-1 or 4n+1.
sin(2x+x)=sin2x.cosx+cos2x.sinx =2sinxcosx.cosx+(-2sin^2x)sinx =2sinxcos^2+sinx-2sin^3x =sinx(2cos^2x+1)-2sin^3x =sinx(2-2sin^2x+1)-2sin^3
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