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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
What are directional derivatives? Explain with two or more examples..
This problem involves the question of computing change for a given coin system. A coin system is defined to be a sequence of coin values v1 (a) Let c ≥ 2 be an integer constant
One coin is tossed thrice. what will be the probability of getting neither 3 heads nor 3 tails
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
In a right triangle ABC, right angled at C, P and Q are points of the sides CA and CB respectively, which divide these sides in the ratio 2: 1. Prove that 9AQ 2 = 9AC 2 +4BC 2
Suppose A and B be two non-empty sets then every subset of A Χ B describes a relation from A to B and each relation from A to B is subset of AΧB. Normal 0 fals
Divide 6.8 × 10 5 by 2.0 × 10 2 . Write your answer in scientific notation? To divide numbers written in scienti?c notation and divide the ?rst numbers (6.8 ÷ 2.0 = 3.4); the
Decision Trees And Bayes Theory This makes an application of Bayes' Theorem to resolve typical decision problems. It is examined a lot so it is significant to clearly understan
128sinpower8=cos8-8cos6+28cos4-56cos2+35
There may be more than one independent variable which determines the value of y. The dimension of a function is determined by the number of independent variables in the
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