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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!)
If cos?+sin? = √2 cos?, prove that cos? - sin? = √2 sin ?. Ans: Cos? + Sin? = √2 Cos? ⇒ ( Cos? + Sin?) 2 = 2Cos 2 ? ⇒ Cos 2 ? + Sin 2 ?+2Cos? Sin? = 2Cos 2 ? ⇒
RANDOM VARIABLE A variable which assumes different numerical values as a result of random experiments or random occurrences is known as a random variable. The rainfal
find the normalised differential of the following {1,x,x^3}
Inverse Tangent : Following is the definition of the inverse tangent. y = tan -1 x ⇔ tan y = x for -∏/2 ≤ y ≤ ?/2 Again, we have a limi
Recently I had an insight regarding the difference between squares of sequential whole numbers and the sum of those two whole numbers. I quickly realized the following: x + (x+1)
Q. Find a common factor of the numerator and denominator? Ans. There's only one key step to simplifying (or reducing) fractions: find a common factor of the numerator and
find the equation of locus of point which lies on bisectors of angles between the coordinate axes
To help Himalya herbal launch a successful marketing campaign in the UK
DEVELOPING ESTIMATION SKILLS : A study was done with some Class 3 and Class 4 children of five village schools to gauge how well they had understood the standard algorithms. The
how do we figure it out here is an example 3,4,6,9,_,_,_,_,_,. please help
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