Recent content by truongson243

Homework Statement For every x over ℝ, find min, max of following expression Homework Equations y=8x4/(x2+1)2+4x/(x2+1)+1 The Attempt at a Solution I've graphed it but it's really complex. How can I find that points? Thank you so much :)

Thank you so much but it's only a circle in case the term of xy is equal to zero. In this case, when I change the coordinate into which Ox' is incline 45° to Ox (horizontal), the new coefficients of general equation in new coordinate are A', C' (B' = 0 in the new coor. so that there is no...

Given the general equation of conic section: Ax2+Bxy+Cy2+Dx+Ey+F=0 How can we find the type of conic section from the above equation? I've used method of rotating coodinate around the origin (from Oxy to Ox'y', Ox' makes an angle θ to Ox, counterclockwise) such that the symmetry axes of the...