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The concave mirror with a focal length of 10 cm is placed in front of a pen, with the pen located at the center.

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The concave mirror with a focal length of 10 cm is placed in front of a pen, with the pen located at the center. The concave mirror is to the left of the pen. A converging lens has a focal length of 32 cm and is positioned 85 cm to the right of the pen. Both the mirror and the lens centers are in the same plane. Two images of the pen are formed by the lens. The first image is solely due to the lens, while the second image is formed after reflecting off the mirror and then reaching the lens. a. Determine the locations of the two images by drawing rays from the pen. b. Calculate and interpret whether the two images are real or virtual, and whether they are inverted or upright.

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