Problem 3: The Thin Lens Formula The goal of this problem is to derive the \"thin lens formula\" which relates the location of an image, formed by a lens, to the location of the object and the focal length of the lens. {a) Reproduce the left-hand portion Fig. 133, including rays and angles just to the right of the spherical surface. Now, add to the right-hand side of vour sketch a near mirror image of the left-hand portion that vou already sketched, which shows the path of light rays through a second nearby spherical surface. Indicate the new angles o, f'. 7. Elt {inside the lens), and EI:_ {outside the lens), analogous to the angles already introduced