1. The curvature of a function y (x) is defined by rho = y 00 (x) 1 + [y 0 (x)]2 3 2 . (a) Find the curvature rho for the relation sin (π x) + ey = (2 − x) 3 at the point (1, 0). (b) Evaluate the equation of the circle of curvature of this relation at the point (1, 0).

An art teacher made a copy of a small painting. to make the painting easier to see the teacher enlarged the area of the painting by 49%. let y respresent the area of the original painting. the expression below is one way to resperesnt the area of the new painting.find two equivalent expressions that would give the area of the new painting y+0.49y