Let `A = {1,2,3}`. For `x,y in A`, Let `xRy` If and only if `x gt y`. Write down R as a subset of `AxxA`.

Let A={1,2,3} , For x, y inA , let xRy if and only if xgty . Write down R as a subset of AxxA .

If y=sin x , then write down the value of (d^(3)y)/(dx^(3)) at x=0 .

Find x and y if (x+3,5)=(6,2x+y)

Find x and y if (7,y+3)=(x,2y)

Let f{(x,(x^2)/(1+x^2):x in R} be a function from R into R.Determine the range of f.

Let R be relation in N defined by (x,y) in RhArrx+2y=8 . Express R and R^(-1) as sets of ordered pairs.

Let A={1,2,3,4,5,6}.Define a realtion R from to A by R={(x,y):y=x+1} .Depicit this relation using an arrow diagram.

Let A={1,2,3} and B={2,4,6,8} . Consider the rule f:A to B,f(x)=2x,AA x in R . Find the domain, codomain and range of f.

y= tan^-1x rArr tan y = x Differentiate w.r. to x

Let f(x)={(4x-5,xge2),(1-x,x 3):} be two functions from R to R. Find (gof)(10)