Parametric Problem

[Mauserketi]

Circle A is fixed at center (1,0) with a radius 1. Circle B, also with radius 1, rotates at one revolution per (2*PI) seconds. Circle B is always connected to circle A at a single point. If at t=0, circle B is centered at (3,0) and point P (point p is on the edge of circle B) is at (4,0), what is the equation for P's path? (It should be a heart).

X=_________

Y=_________

[Tartaglia]

Try x = 1 +2cost+Cos2t

y = 2sint+Sin2t