Find `(dy)/(dx)," if "x= a(theta+ sin theta), y= a(1- cos theta)`.

If x and y are connected parametrically by the equations, without eliminating the parameter, Find (dy)/(dx) . x= a(theta-sin theta), y= a (1+ cos theta) .

Find (dy)/(dx), " if "x= a cos theta, y= a sin theta .

If x and y are connected parametrically by the equations given in Exercises 1 to 10, without eliminating the parameter, Find (dy)/(dx) . x= a (cos theta+ theta sin theta), y= a (sin theta-theta cos theta) .

Find (dy)/(dx) if x=cos theta - cos 2 theta and" "y = sin theta - sin 2theta

If x and y are connected parametrically by the equations given in Exercises 1 to 10, without eliminating the parameter, Find (dy)/(dx) . x= cos theta-cos 2theta, y= sin theta-sin 2theta .

Find (dy)/(dx) if x=3 cos theta- 2cos^(3)theta,y=3 sin theta -2sin^(3) theta.

If x and y are connected parametrically by the equations given in Exercises 1 to 10, without eliminating the parameter, Find (dy)/(dx) . x= a cos theta, y= b cos theta .

If x=a(theta+sintheta), y=a(1+costheta) " then " (dy)/(dx) is

If x= a (theta+ sin theta), y =a ( 1- cos theta) then prove that at theta = (pi)/(2), y'' = (1)/(a) .