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a) Let V = f1, 2, :::, 7g and define R on V by xRy iff x - y is a multiple of 3. You should know by now that R is an equivalence relation on V . Suppose that this is so. Explain the partition of V induced by R.
b) Let A = {1, 2, 3, 4} and define R on P(A) -{Ø} by xRy iff x ∩y ≠Ø. Is R an equivalence relation? Describe
A comparison of the wearing out quality of two types of tyres was obtained by road testing. Samples of 100 tyres were collected. The miles traveled until wear out were recorded and
Joe walked 2 1/2 miles to school, 1/3 mile to work, and 1 1/4 miles to his friend's house. How several miles did Joe walk altogether? To find out the total distance walked, add
5a^2b^2-5ab(6)
Consider x € R. Then the magnitude of x is known as it's absolute value and in general, shown by |x| and is explained as Since the symbol always shows the nonnegative
explain the characteristics of statistics
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Order to solve Mathematical Operations: Example: Solve the following equation: (4 - 2) + (3 x 4) - (10 ÷ 5) - 6 = ____________ Solution: a. Perform ma
Monotonic, Upper bound and lower bound Given any sequence {a n } we have the following terminology: 1. We call or denote the sequence increasing if a n n+1 for every n.
x+2y^2=63 and 4x+y^2=0; Find the area of the regions enclosed by the lines and curves.
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