Suggested: verify that x3+y3+z3-3xyz=1/2(x+y+z) (x-y)2+(y-z)2+(z-x)2 - 3x/2-5y/3=-2 x/3+y/2=13/6 by substitution method - if x+iy=a+ib/a-ib prove that x^2+y^2=1 - 10/x+y+2/x-y=4 15/x+y-5/x-y=-2 - find the evolute of the ellipse x^2/a^2+y^2/b^2=1 - if z(x+y)=x2+y2 show that (∂z∂x−∂z∂y)2=4(1−∂z∂x−∂z∂y) - find the area of ellipse x^2/a^2+y^2/b^2=1 - x/2+2y/3=-1 and x-y/3=3 - if y=sin^-1x show that (1-x^2)y2-xy1=0 - discuss the maxima and minima of f(x y)=x^3y^2(1-x-y) - u=x^2 tan^-1(y/x)-y^2 tan^-1(x/y) - y=(x-1)(x-2)(x-3) - 2/x+3/y=13 5/x-4/y=-2 - find the volume of ellipsoid x^2/a^2+y^2/b^2+z^2/c^2=1 - 12)y=(x Browse related:
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