Which of the following statements is true? a. a convex lens is thicker in the middle and refracts light inward. b. a convex lens is thinner in the middle and refracts light inward. c. a convex lens is thicker in the middle and refracts light outward. d. a convex lens is thinner in the middle and refracts light outward.

Which best represents the law of conservation of mass ?

Asmall object with mass 0.200 kg swings back and forth on the lower end of a light rope that is 3.00 m long. the upper end of the rope is attached to the ceiling. as the object swings through its lowest position, where the rope is vertical, the speed of the object is 5.80 m/s. at this point in the motion, what is the tension in the rope? (use g = 9.80 m/s2.)

Suppose that f : rn → rm and that a ∈ k, where k is a connected subset of rn . suppose further that for each x ∈ k there exists a δx > 0 such that f(x) = f(y) for all y ∈ bδx (x). prove that f is constant on k; that is, f(x) = f(a) for all x ∈ k