y=x-|(x-1)|

If log x+log y=log(x+y), then a.x=ybxy=1 c.y=(x-1)/(x) d.y=(x)/(x-1)

Find all maxima and minima of the function y = x(x-1)^2 for 0<=x<=2 Also, determine the area bounded by the curve y = x (x-1)^2 , the X-axis and the line x = 2 .

Find all maxima and minima of the function y=x(x-1)^(2) for 0<=x<=2 Also,determine the area bounded by the curve y=x(x-1)^(2) the X -axis and the line x=2 .

The solution of the differential equation (x^2+1)(dy)/(dx)+(y^2+1)=0 is a. y=2+x^2 b. y=(1+x)/(1-x) c. y=x(x-1) d. y=(1-x)/(1+x)

If graph of y=(x-1)(x-2) is then draw the graph of the following (i) y=|(x-1)(x-2)| (ii) |y|=(x-1)(x-2) (iii) y=(|x|-1)(|x|-2) (iv) |(|x|-1)(|x|-2)| (v) |y|=|(|x|-1)(|x|-2)|

Domain of the function y =(x-1)/(x+1) is:

Find the products: 2x+3y)(2x-3y)(x-1)(x+1)(x^(2)+1)(x^(4)+1)

The cosine of the angle between the curves y=3^(x-1)ln x and y=x^(x)-1 at their point of intersection on the line y=0, is

Find y(x) , if it satisfies the following differential equation (dy)/(dx)=(x-y)^2 , and given that y(1)=1 (A) -ln|(1-x+y)/(1+x-y)|=2(x-1) (B) ln|(2-y)/(2-x)=x+y-1 (C) ln|(1-x+y)/(1+x-y)|=2(x-1) (D) 1/2ln|(1-x+y)/(1+x-y)|+ln|x|=0