You may use the back of each sheet for additional space. There are 5 multiple choice questions each worth 10 points graded for partial credit on a scale of 0-4-7-10. There are 5 free-response questions each worth 15 points. Please write legibly so that the proper credit may be given. You must show all work, an unsupported answer will receive little or no credit. These questions will be graded for partial credit so be careful to show all work legibly. A correct answer with no work will receive little or no credit. 1 e (cid:3) (cid:5) (cid:7) (cid:3) (cid:5) (cid:7) i z e. 2 e (cid:3) (cid:5) (cid:7: 0, none of these. 1: the solution ( , ) to a certain wave equation is known to be given by u x t u x t (cid:8) n. L t (cid:3) (cid:5) (cid:7) (cid:3) (cid:5) (cid:7) sin (cid:2) (cid:4) (cid:6)