Determine the domain and range of the following relations:
(i) `{(1,2),(1,4),(1,6),(1,8)}`
(ii) `{(x,y), x in N, y in N and x +y=10}`
(iii) `{(x,y): x in N, x lt 5, y =3}`
(iv) `{(x,y): y= |x-1|, x in Z and |x| le 3}`

Find the domain and range of the following relation R={(x,y):x in N ,x lt 6 and y=4}

Find the domain and range of the following rellation R={(x,y):y=|x-1},x in Z and |x|<3}

Find the domain and range of each of the relations given below: (i) R={(-1,1),(1,1),(-2,4),(2,4),(3,9)} (ii) R={(x,(1)/(x)):x" is an integer",0ltxlt5} (iii) R={(x,y):x+2y=8" and "x,yinN} (iv) R={(x,y):y=|x-1|,x inZ" and "|x|le3}

Find the domain and range of the relation R given by R={(x, y)/| y=x+(6)/(x) where x, y in N and x<6 }

The domain and range of the relation R given by R = {(x, y) : y = x + (6)/(x) , where x, y in N and x lt 6 } is

Find dervatives of the following functions: (i) y=2x^(3) , (ii) y=4/x , (iii) y=3e^(x) , (iv) y=6 ln x , (v) y=5 sin x

Determine the degree of each of the following polynomials. (i) 2x-1 (ii) -10 (iii) x^(3)-9x+3x^(5) (iv) y^(3)(1-y^(4))

find the values of x,y and zfrom the following equations : (i) [{:(4,3),(x,5):}]=[{:(y,z),(1,5):}] (ii) [{:(x+y,2),(5+z,xy):}]=[{:(6,2),(5,8):}] (iii) [{:(x+y+z),(x+z),(y+z):}]=[{:(9),(5),(7):}]

Express each relation in the form of ordered pair and check whether is it a function or not? (i) f={(x,y): y=3x, x in {1,2,3}, y in {3,6,9,12}} (ii) g={(x,y): y gt x + 1 , x in {1,2}, y in {2,4,6}} (iii) h={(x,y): x+y=3,x,y in {0,1,2,3}}