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).

Candice uses the function f(t)=t+100−−−−−−√ to model the number of students in her after-school program. the variable t represents days and f(t) represents the number of students. how many days does it take for there to be 15 students in her program? a. 225 days b. 125 days c. 325 days d. 115 days