A highway has an exit ramp that begins at the origin of a coordinate system and follows the curve

to the point (4, 1) (see figure). Then it follows a circular path whose curvature is that given by the curve at (4, 1). What is the radius of the circular arc? Explain why the curve and the circular are should have the same curvature at (4, 1).

Transcribed Image Text:

y = 1 15/2 327