Polar curve & parametrized curve

Try to write hand-written and hand-draw the graphs.

1.

1. Graph the polar curve r = 4 + 8 cos(@) and find the area inside the inner loop.2. Graph the polar flower r = 5 cos(30) and find the area of one of the petals of the flower.3. Let r = 3 and r = 6 + 6 sin(0) be two given polar curves. (a) Graph the polar curves on the same plane and shade the region inside the limacon and outside the circle.(b) Give the formula involving one or more integrals that represents the area of the shaded region in part (a)4. For the parametric curve given by x(t) = 5 + 4 cos(t), y(t) = -7 + 3sin(t), 0