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).

Danny draws a transversal, t, on two parallel lines ab and cd, as shown below: he makes the following table to prove that the alternate interior angles are equal: which is the missing justification? (6 points) corresponding angles formed by a transversal on parallel lines are supplementary. corresponding angles formed by a transversal on parallel lines are congruent. co-interior angles formed by a transversal on parallel lines are congruent. co-exterior angles formed by a transversal on parallel lines are congruent.

Arrange these numbers from least to greatest 3/5 5/7 2/9

Fiona races bmx around a circular dirt course. if the radius of the course is 70 meters, what is the total distance fiona covers in two laps of the race? a. about 30,772 meters b. about 15,386 meters c. about 879.2 meters d. about 439.6 meters e. about 219.8 meters23 points hurry