Can you please do numbers 3,5,6,7,8,9,10 and show all the steps please the answers are there it's just I'm having a hard time doing it

SNC 2D Mirror Equation Questions based on the geometry of the rays theoretically reflecting from a curved mirror, the mirror equation is derived to be: 1 + do -1 d d. = distance to object di = distance to image f = focal length the conventions for this equation include: all distances are measured from the vertex of a curved mirror . distances of real objects and images are positive object heights and image heights are positive when measured upward from the principal axis, and negative when measured downward magnification equation. the -ve sign is added to agree with the sign convention used above M = 1 ho do Practice: Concowe 1. Determine the image distance in each of the following. a) A converging mirror has a focal length of 15 cm. An object is placed (i) 40 cm, and (ii) 10 cm convex from the mirror. (24 cm, - 30 cm) b) A diverging mirror has a focal length of -20 cm. An object is placed (i) 10 cm, and (ii) 30 cm from the mirror. (-6.7 cm, -12 cm) 2. A candle 3.0 cm high is placed 30 cm from a converging mirror with a focal length of 20 cm. Using the mirror and magnification equations, determine the image position and its height. From these results, provide the image characteristics (S.A.L. T.) (d= 60 cm: h. =-6.0 cm) X 3. A converging mirror has a focal length of 20 cm. Where should an object be placed so that its virtual image will be twice as tall as the object? (10 cm ) 4 . A woman looks at herself in a magnifying converging mirror whose focal length is 20 cm. If her face is 10 cm from the mirror, a) at what distance from the mirror is her image? (-20 cm) b) what is the magnification of her face? (+2 ) 5. A 2.0 cm high candle is placed 15 cm in front of a concave mirror with a focal length of 30 cm. How far "behind" the mirror does the candle appear, and how large is it? (-30 cm, 4 cm) -7 6. A trucker sees the image of a car passing her truck in her diverging rear-view mirror, whose focal length is -60 cm. If the car is 1.5 m high and 6.0 m away, what is the size and location of the image? (13.5 cm, 54 cm) 7. A spherical, polished metallic ball is used as a diverging mirror (f= -20 cm) over a birdbath. A bird, 25 cm tall, standing 50 cm away, looks directly at the mirror. What are the size and position of the bird's image? (7.2 cm, - 14 cm) 3. When standing 2.0 m in front of an amusement park mirror, you notice that your image is three times taller. What is the radius of curvature of the mirror? (6.0 m) 9. A child looks at his reflection in a spherical Christmas tree ornament 8.0 cm in diameter, and sees that the image of his face is reduced by one-half. How far is his face from the ornament? (2.0 cm) 10. A converging mirror has a focal length of 15 cm. Where would you place an object in order to (do = 7.5 cm) produce an erect virtual image twice as tall as the object? Equation Questions.doc