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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
Q. Define Degrees and Radians? Ans. Just as your height can be measured in meters or feet and your weight can be measured in pounds or kilograms, angles can be measured in
Domain of a Vector Function There is a Vector function of a single variable in R 2 and R 3 have the form, r → (t) = {f (t), g(t)} r → (t) = {f (t) , g(t), h(t)} co
A spherical holding tank whose radius to the outer surface is 10 feet is constructed of steel 1 inch thick. How many cubic feet of steel is require to construct the holding tank? R
Find out the number of ways in which 5 prizes can be distributed among 5 students such that (a) Each student may get a prize. (b) There is no restriction to the number o
Write a proff given angle MJL congruent with angle KJL
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Illustration: Find the solution to the subsequent IVP. ty' + 2y = t 2 - t + 1, y(1) = ½ Solution : Initially divide via the t to find the differential equation in
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Solve for x. 21x+6
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