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1. For a function f : Z → Z, let R be the relation on Z given by xRy iff f(x) = f(y). (a) Prove that R is an equivalence relation on Z. (b) If for every x ? Z, the equivalenc
The midpoint of the line joining (2a, 4) and (-2, 3b) is (1, 2a +1).Find the values of a & b. (Ans: a = 2, b = 2) Ans : A(2a, 4) P(1, 2a + 1) B(-2,
ABC is a triangle right angled at c. let BC=a, CA=b, AB=c and lrt p be the length of the perpendicular from C on AB. prove that cp=ab and 1/p2=1/a2+1/b2
Get the Delta H (Enthalpy) and Delta V (Volume) of the both components below and compare by ratio. You need to use clapeyron equation and also need to draw the graphs. S A LG
Vectors - The Basics Let us start this section off with a quick discussion on what is the use of vector. Vectors are utilized to present quantities that have both a magnitude
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
A poll tilts towards the sun at an 8 o angle from the vertical at it casta 22-ft shadow. The angle of elevation from the shadow to the top of the pole is 43 o . How tall is th
integral 0 to 4 integral 0 to y root of 9+ysquredxdy
Determine how many square centimeters of paper are needed to make a label on a cylindrical can 45 cm tall with a circular base having diameter of 20 cm. Leave answer in terms of π.
Inflation The inflation rate for a given period can be calculated using the following formula; Inflation = (current retail price index/retail price index in the base year)
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