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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
In triangle ABC, cosecA(sinB.sinC+cosB.sinC) is equal to..?
six men and Eight boys can finish a piece of work in 14 days while eight men and twelve boys can do it in 10 days. Find the time taken by 1man alone and that by 1boy alone to fin
using the formula sin A =under root 1+ cos2A /2 . find value of 30 degree, it is being given that cos 60 degree =1/2.
We will be looking at solutions to the differential equation, in this section ay′′ + by′ + cy = 0 Wherein roots of the characteristic equation, ar 2 + br + c = 0 Those
A painting was purchased 11 years ago for $26900. It has just been sold for $78000. Calculate the flat rate of appreciation p.a.
Arc Length for Parametric Equations L = ∫ β α √ ((dx/dt) 2 + (dy/dt) 2 ) dt Note: that we could have utilized the second formula for ds above is we had supposed inste
Example of Circles - Common Polar Coordinate Graphs Example: Graph r = 7, r = 4 cos θ, and r = -7 sin θ on similar axis system. Solution The very first one is a circle
can anyone solve this assigment: D=lsqrt(3x-5) sqrt(2x)l =3 l -1 1 l
Estimate the Slope of a Line? The slope of a line is a measure of how steep it is. It is defined as y 2 - y 1 /x 2 -x 1 Where (x 1 , y 1 ) and (x 2 , y 2 ) are any two p
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