Visitors at a science museum are invited to sit in a chair to the right of a full-length diverging lens (f1 = -2.94 m) and observe a friend sitting in a second chair, 1.90 m to the left of the lens. The visitor then presses a button and a converging lens (f2 = 3.64 m) rises from the floor to a position 1.56 m to the right of the diverging lens, allowing the visitor to view the friend through both lenses at once. Be sure to include the algebraic signs (+ or ?) with your answers.

(a) Find the magnification of the friend when viewed through the diverging lens only.

(b) Find the overall magnification of the friend when viewed through both lenses.