4. Recall the basic formulas x = r cos 0, y = r sin 0 and the chain rule: dy dy / de dx dx / de Use these to find a general formula for the slope of the tangent line of the limacon in the previous problem in terms of 0. Find the slope of the tangent line at the points where 0 = 0 and at 0 = 1/2, and sketch those tangent lines carefully on your graph. 5. Repeat Problem 4 for the cardiod which you sketched on the previous page at the points where 0 = 0 and 0 = T