hi guys
i hope u ar fine?
i need help to solve these problem please

a) Find the slope of the tangent of the graph of r=sin 2x at x =pi/3 .
b) Find the points at which the tangent of r=1+sin x is parallel to the x-axis.
c) Find the point on r=cos x at which the value of r is maximum, and show that the tangent
at this point is perpendicular to the line joining the given point with the Pole.
d) Find the area inside both circles r=2 sin x , and r=2cos x.
e) Find the area inside the cardioid r=1- sin x , and outside the circle r= sin x .


Sketch the graph of the following Polar Functions:

1- r= 1/(1+cos x)
2- r=1+2sin x
3- r=2+ sin x