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a) Using Karnaugh map, show
X': A'BC'D'+ ABC'D'+ A'BCD'+ ABCD' (b) If R is an equivalence relation on set A, prove that R-1 is also an equivalence relation.
(c) Explain Konigsberg's 7 bridges problem and Euler's solution to it.
Define symmetric, asymmetric and antisymmetric relations. Ans: Symmetric Relation A relation R illustrated on a set A is said to be a symmetric relation if for any x,
Alan had 6 books. He read 1/3 of books last week. How many books did Alan read last week?
for all real numbers x, x 0
reflection
write in factor form 9x3+9x5
Telescoping Series It's now time to look at the telescoping series. In this section we are going to look at a series that is termed a telescoping series. The name in this c
the length of three pieces of ropes are 140cm,150cm and 200cm.what is the greatest possible length to measure the given pieces of a rope?
A man buys rs50 shares of a company paying 12% of dividendat premium ofof rs10 find market value of 320 shares and profit%
In arithmetic, we deal with numbers. In contrast to this, in algebra, we deal with symbols. These symbols are often represented by lower case alphabets. One of th
1. A drainage system overflows into a river causing pollution when the rainfall falling in an hour exceeds 50 mm. During any given year, the maximum hourly rainfall follows an expo
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