A) Suppose you were stranded on a desert island with only a convex lens and a mirror. Describe how you could use each of these tools to signal for help.

To signal for help using the convex lens, I would focus the sunlight onto a specific area, such as dry leaves or paper, to create a small, intense beam of light. By moving the lens back and forth to manipulate the direction of the focused light, I could create a flashing signal that would be more easily detected by passing ships or planes.

To use the mirror to signal for help, I would angle the mirror towards the direction of any potential rescuers and reflect the sunlight towards them using the reflective surface. By tilting the mirror back and forth, I could create flashes of light that would catch the attention of passing vessels or aircraft. Additionally, I could use the mirror to create Morse code signals by flashing short and long bursts of light to spell out SOS or other distress signals.