x=e^(t)(sin t+cos t),y=e^(t)(sin t-cos t)

If x=ae^(t)(sin t+cos t) and y=ae^(t)(sin t-cos t),quad prove that (dy)/(dx)=(x+y)/(x-y)

For the curve x = e^(t) cos t, y = e^(t) sin t the tangent line is parallel to x-axis when t is equal to

x=sin t, y= cos 2t.

Find dy/dx at t = pi/4 when x e^(-t) (sin t + cos t ) and y = e^-t (sin t - cost)

The angle made by the tangent with the + ve direction of X-axis to x=e^(t)cos t, y = e^(t)sin t at t=(pi)/(4) is ……….

The tangent to the curve given by x = e^(t) cos t y = e^(t) " sin t at t " = (pi)/(4) makes with x-axis an angle of

The tangent to the curve given by : x=e^(t)cos t, y=e^(t) sin t at t=(pi)/(4) makes with x-axis an angle :

7. x=a(cos t+t sin t),y=a(sin t-t cos t) find dy/dx

If w(x,y,z) =x^(2) + y^(2)+ z^(2), x=e^(t), y=e^(t) sin t and z=e^(t) cos t , find (dw)/(dt) .

If x = e^(t) sin t and y = e^(t) cos t, t is a parameter , then the value of (d^(2) x)/( dy^(2)) + (d^(2) y)/(dx^(2)) at t = 0 , is :