Find `dy/dx` when `x = a(theta-sintheta),y=a(1+costheta)`.

Find (dy)/(dx) when x=a(theta-sintheta),y=b(1-costheta) .

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

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

Find dy/dx when x^ y =1

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 when x=a (theta + sin theta), y = a(1 + cos theta)

Find dy/dx when x^y = y^x

Find (d^2y)/(dx^2) at theta = pi/2 when: x = a (theta-sintheta),y=a(1+costheta)

Find (dy)/(dx)ifx=a(theta-sintheta) and y=a(1-costheta)dot