I have a question that I am working on and am having difficulties knowing how to approach it. It looks like this:

The following parametric equations trace out a loop.

x = 6 - (5/2)t^2

y = (-5/6)t^3+5t+1

A)Find the t values at which the curve intersects itself:

t= +/- ______

b) What is the total area inside the loop?