[" Do it : "],[" (i) "(x+3)(x+3)]

Find the following products using appropriate identities: (i)\ (x+3)\ (x+3)\ \ \ \ \ \ \ \ (i i)\ (x - 3)(x+5)

Find the following products using appropriate identities: (i) (x+3)" "(x+3) (i i)" "(x 3)(x+5)

Simplify : 3x (4x - 5) + 3 and find its value for (i) x = 3 , (ii) x = (1)/(2) (i) Put x =3, we have (ii) Put x = (1)/(2)

If 3x + (1)/(3x) = 3 , find : (i) 9x^(2) + (1)/(9x^2)

Prove that the following functions do not have maxima or minima: (i) f(x)=ex (ii) g(x)=log x (iii) h(x)=x^(3)+x^(2)+x+1

Find the values of x and y from the following : (i) (3x -7)+2iy=-5y+(5+ x)i (ii) 2x i+12= 3y-6i (iii) z=x+iy and i(z+2)+1=0 (iv) ((1+i)x-2i)/(3+i)+((2-3i)y+i)/(3-i)=i (v) (3x-2iy)(2+i)^(2)=10(1+i)

Find the values of x and y from the following : (i) (3x -7)+2iy=-5y+(5+ x)i (ii) 2x i+12= 3y-6i (iii) z=x+iy and i(z+2)+1=0 (iv) ((1+i)x-2i)/(3+i)+((2-3i)y+i)/(3-i)=i (v) (3x-2iy)(2+i)^(2)=10(1+i)

which of the following limit do not exist lim_(x rarr1)(x^(3)+x-2)/(x^(3)-x^(2)-x+1)

I= int ( x^2 + 1) /( root( 3) ( x^(3) + 3x + 1) )d x .