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Union and Intersection - Set theory
B ∩ C indicates the intersection of B and C. it is the set having all those elements that belong to both B and C
If B = {5, 8, 11, 20, 25} and
C = {1, 3, 5, 7, 9, 11, 13}
Then B ∩ C = {5, 11}
B U C = {1, 3, 5, 7, 8, 9, 11, 13, 20 25}
prove that every non-trivial ingetral solution (x,y,z)of the diophantine equation Xsquare +Ysquare=Zsquare satisfies gcd(x,y)=gcd(x,z)=gcd(y,z)
Carmen bought 3 pounds of bananas for $1.08. June paid for her purchase of bananas. If they paid the same price per pound, how many pounds did June buy?
y=3x+logp
Time Series and Analysis It is the statistical or mathematical analysis on past data arranged in a periodic sequence. Decision making and planning in an organization includes
A boy standing in the middle of a field, observes a flying bird in the north at an angle of elevation fo 30 degree. and after 2 min, he observes the same bird in the south at an an
What is a truth table? Distinguish between Tautology & Contradiction?
What are Natural Numbers and Whole Numbers? Natural numbers are the numbers that you "naturally" use for counting: 1, 2, 3, 4, ... The set of whole numbers is the set of
Find the third vertex of a triangle if its two vertices are (-1, 4) and (5, 2) and mid point of one side is (0, 3).
In triangle ABC if angle B = 90 degrees what is the value Tan A/2 in terms of its sided? Solution) tanA=c/b let tan(A/2)=x 2x/(1-x 2 )=c/b,solve for x
The Distributive Law : If you were asked to mentally multiply 37 with 9, how would you proceed? 1 would do it as follows - 37 is 30 + 7, 30 x 9 = 270, 7 x 9 = 63, so 270 + 63, th
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