If `x^(y^4)=9,(y^2)^(x^2)+x^(y^2)=t,` sum of digit in t is

If x^(2)+y^(2)=t+t^(-1),x^(4)+y^(4)=t^(2)+t^(-2)," then " yy_(1)=

If x^(2)+y^(2)=t+(1)/(t) "and" x^(4)+y^(4)=t^(2)+(1)/(t^2), "then" (dy)/(dx) is equal to

If x^(2) + y^(2) = t + (2)/(t) and x^(4) + y^(4) = t^(2) + (4)/(t^(2)) , then x^(3)y(dy)/(dx) =

If x^(2)+y^(2)=t-(1)/(t) and x^(4)+y^(4)=t^(2)+(1)/(t^(2)) , show that, x^(3)y(dy)/(dx)=1

If x^(2)+y^(2)=t+(1)/(t) and x^(4)+y^(4)=t^(2)+(1)/(t^(2)) , then the value of -x^(3)y(dy)/(dx) is -

If x^(2)+y^(2)=t-(1)/(t) and x^(4)+y^(4)=t^(2)+(1)/(t^(2)) , show that (dy)/(dx)=(1)/(x^(3)y) .

If x^(2)+y^(2)=t+(1)/(t) and x^(4)+y^(4)=t^(2)+(1)/(t^(2)) then show that (dy)/(dx)=-(y)/(x) .

Find the continuous function f where (x^(4)-4x^(2))<=f(x)<=(2x^(2)-x^(3)) such that the area bounded by y=f(x),y=x^(4)-4x^(2) then y-axis,and the line x=t, where (0<=t<=2) is k xx the area bounded by y=f(x),y=2x^(2)-x^(3),y-axis, and line x=t(where0<=t<=2).