Please show all work and formulas

Problem 5: The Cornea As a Simple Lens. The cornea behaves as a thin lens of focal length approximately fox= 1.80-cm, although this varies a bit. The material of which it is made has an index of refraction of nor -1.38, and its front surface is convex, with a radius of curvature of R/mi=5.00 - mm. (a) If this focal length is in air, what is the radius of curvature of the back side of the cornea? (b) The closest distance at which a typical person can focus on an object (called the near point) is about dorar = 25.0.cm, although this varies considerably with age. Where would the cornea focus the image of an hos, =8.00 . mm tall object at the near point? (c) What is the height of the image in part (b)? Is this image real or virtual? Is it erect or inverted? (Note: The results obtained here are not strictly accurate because, on one side, the comea has a fluid with a refractive index different from that of air.) (a) R back = (1.9. 10 ? ) m (b) d = 19.4 mm (c) Mag=-7.8. 10 2 hima=-0.6 mm