This problem shows that infinite sets behave differ- ently than the finite ones considered in the previous problem. (i) find a function f: z-> z that is injective, but not surjective. (ii) find a function g: zz that is surjective, but not injective. - (iii) find a proper subset s of z (that is, s is not z itself) and a bijective function h: sz.

Apinhole camera is made out of a light-tight box with a piece of film attached to one side and pinhole on the opposite side. the optimum diameter d(in millimeters) of the pinhole can be modeled by d=1.9[ (5.5 x 10^-4) l) ] ^1/2, where l is the length of the camera box (in millimeters). what is the optimum diameter for a pinhole camera if the camera box has a length of 10 centimeters

If two angles of a triangle have equal measures and the third angle measures 90°, what are the angle measures of the triangle? a. 60°, 60°, 60° b. 45°, 90°, 90° c. 30°, 30°, 90° d. 45°, 45°, 90°

Write as a product: ac^2–ad+c^3–cd–bc^2+bd