Please answer and include equations to each problem

Light, Refraction and Lenses ZINGER: An inverted image is magnified by 2 when the object is placed 22 cm in front of a converging lens. Determine the image distance and the focal length of the lens. 7. A diverging lens has a focal length of -12.8 cm. An object is placed 34.5 cm from the lens's surface. Determine the image distance. 8. Determine the focal length of a diverging lens that produces an image that is 12.9 cm from the lens (and on the object's side) when the object is 32.4 cm from the lens. 9. A 2.85-cm diameter coin is placed a distance of 31.4 cm from a diverging lens that has a focal length of -11.6 cm. Determine the image distance and the diameter of the image. 10. The focal point is located 20.0 cm from a diverging lens. An object is placed 12.0 cm from the lens. Determine the image distance. The Physics Classroom, 2020 Page 16