Radius of Curvature

A convex mirror in a store has a radius of curvature of 0.55 m. If a customer is 10 m from the mirror, where is the customer's image in the mirror? What is the magnification of the image of the image? What is the orientation of the image?

A concave mirror has a focal length of 40 cm. Determine the object position for which the resulting image is upright and 4 times the size of the object.

An object is placed at a distance of 30 cm from a concave lens of focal length 15 cm, h$_I$ = 2 cm. Determine the position of the image, the linear magnification, and h$_0$.

The image of a tree on a 35 mm color slide is 1.8 mm high. It is to be projected onto a screen 3.0 m from the slide and is to appear 493 mm high. What focal length is needed?