Find`y_2` in each of the following cases:
`x=e^t,y=sint` at `t=pi/2`

Find y_2 in each of the following cases: x=t,y=t^2

Find y_2 in each of the following cases: y=t^2+t^3 , x=t-t^4

Find y_2 in each of the following cases: x=a(t+1/t) , y=a(t-1/t)

Find the equation of the tangent line to the following curves : x=cost, y=sint" at "t=(pi)/(4).

Form the defferentialequation by eliminating the arbitrary constants in each of the following cases. y = A e^t + Be^(2t)

Find dy/dx of the following x=a(t-sint) , y=a(1-cost)

Find the derivative of y w.r.t x in each of the following: sin^2y + cos xy = pi

Find the equation of the normal at the specified point to each of the following curves x= a( 2 cos t+ cos 2t), y= a (2 sin t- sin 2t) at t=(pi)/(2)

Find dy/dx for the following. x=a(t-sint),y=a(1+cost) .