Find `(dy)/(dx)` if `x=a(theta-sintheta)` and `y=a(1-costheta)` .

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(theta-sin theta), y= a (1+ cos theta) .

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

Find (dy)/(dx) if x-y= pi

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

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

Find (dy)/(dx) : x=2 cos theta- cos^(2) theta and y=2 sin theta- sin 2theta Show that (dy)/(dx)= -1 " when " theta = (pi)/(2)

Find (dy)/(dx) : x=a sin^(2) theta cos theta, y= 2b cos^(2) theta (-sin theta)