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What is a set? Explain various methods to represent a set in set theory.
Define the following with the help of suitable examples.
(i) Singleton Set (ii) Finite Set
(iii) Cardinality of a Set (iv) Subset of a Set
calculation of emi %
condition for linearly independent
Assume that (X, d) is a metric space and let (x1, : : : , x n ) be a nite set of pointsof X. Elustrate , using only the de nition of open, that the set X\(x1, : : : , x n ) obtain
An unbiased die is tossed twice .Find the probability of getting a 4,5,6 on the first toss and a 1,2,3,4 on the second toss
(a) Derive the Marshalian demand functions for the following utility function: u(x 1 ,x 2 ,x 3 ) = x 1 + δ ln(x 2 ) x 1 ≥ 0, x 2 ≥ 0 Does one need to consider the is
Classification : As you know, classification (also called grouping) involves putting together things that have some characteristic in common. We can say that a child is able to c
1/(1-z)(1-z)(1-z)(1-z)
An inground pool is pooring with water. The shallow end is 3 ft deep and gradually slopes to the deepest end, which is 10 ft deep. The width of the pool is 30 ft and the length is
Ribbon is wrapped around a rectangular box that is 10 by 8 by 4 in. Using the example provided, calculate how much ribbon is needed to wrap the box. consider the amount of ribbon d
Give an example of Divisibility? If you can divide one number by another without getting a remainder, we say that the first number is divisible by the second. For instance, the
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