4. (20 pts) Consider a converging lens with a focal length of 4cm. A real object is placed in front of the lens 6cm from the lens. (a) Calculate the image position. (I want to know how far from the lens the image is located and on what side it is located.) (5 points) (b) What is the lateral magnification in this case? (5 points) (c) Is the image real or virtual? Is it erect of inverted? Justify your answers. (5 points) (d) In the space below (or on the other side of this page if you need more space) draw a real size principle ray diagram for this case. (Assume the object height is 1 cm.) Be sure to use one of each type of principle ray. In addition, be sure to correctly show the positions of the object, the focal point(s), lens, and the image. (5 points)