A function is reprersented parametrically by the equations `x=(1+t)/(t^3); y=3/(2t^2)+2/tdotT h e nt h ev a l u eof|(dy)/(dx)-x((dy)/(dx))^3|` is__________

A function is represented parametrically by the equations x=(1+t)/(t^3);\ \ y=3/(2t^2)+2/t then (dy)/(dx)-xdot((dy)/(dx))^3 has the value equal to 2 (b) 0 (c) -1 (d) -2

if x=(1+ln t)/(t^(2)) and y=(3+2ln t)/(t) then show that y(dy)/(dx)=2x((dy)/(dx))^(2)+1

x=2+t^(3),y=3t^(2) ,then the value (dy)/(dx)

If a curve is represented parametrically by the equation x=f(t) and y=g(t)" then prove that "(d^(2)y)/(dx^(2))=-[(g'(t))/(f'(t))]^(3)((d^(2)x)/(dy^(2)))

If a curve is represented parametrically by the equation x=f(t) and y=g(t)" then prove that "(d^(2)y)/(dx^(2))=-[(g'(t))/(f'(t))]^(3)((d^(2)x)/(dy^(2)))

If x = 2t^3 and y = 3t^2 , then value of (dy)/(dx) is

if x=(1+t)/(t^(3)),y=(3)/(2t^(2))+(2)/(t) satisfies f(x)*{(dy)/(dx)}^(3)=1+(dy)/(dx) then f(x) is:

If a curve is represented parametrically by the equations x=4t^(3)+3 and y=4+3t^(4) and (d^(2)x)/(dy^(2))/((dx)/(dy))^(n) is constant then the value of n, is

A curve parametrically given by x=t+t^(3)" and "y=t^(2)," where "t in R." For what vlaue(s) of t is "(dy)/(dx)=(1)/(2) ?

A curve parametrically given by x=t+t^(3)" and "y=t^(2)," where "t in R." For what vlaue(s) of t is "(dy)/(dx)=(1)/(2) ?