Consider the graphs of the equations y = -x2 + 1 and y = (x + 1)2 / 2.

a) On your paper, find all points of intersection of these two graphs and state them as ordered pairs. No need to type anything here.

b) Of the two points you found in part a, now look just at the point with the larger x-coordinate. On your paper, showing work, find a unit tangent vector to each curve at that point of intersection. No need to type anything here.

c) Rounding to the nearest hundredth of a degree, find the angle (0 90) between the curves at the point of intersection from part b. Show work on paper, and type only your final answer (angle value) here.