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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
Consider the Van der Pol oscillator x′′- µ(1 - x 2 )x′ + x = 0 (a) Write this equation as a system of first order equations (b) Taking µ = 2, use MatLab's routine ode45 to
the figure is a rectangle with angle y=60. Find angle x
Q. How to Collecting and interpreting data? Ans. Collecting and interpreting data is the most important job of a statistician. There are many types of studies and differe
Draw a flowchart for accumulated principal at the end of 5 years by taking into account compound interest?
Tom has five times as many marbles as Jim. together they have 42 marbles. how many marbles does each has?
What is Chain Based Index Numbers?
advantages oh north west corner rule
what all can be the table contents for my maths project on shares and dividend
Average cost function : Now let's turn our attention to the average cost function. If C ( x ) is the cost function for some of the item then the average cost function is,
Evaluate following sin 2 ?/3 and sin (-2 ?/3) Solution: The first evaluation in this part uses the angle 2 ?/3. It is not on our unit circle above, though notice that 2 ?/
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