PHYS 116A Midterm: Physics 116A UCSC ph116fin_11
Document Summary
During the exam, you may refer to the textbook, the class handouts, or your own personal notes. In answering the questions, it is not su cient to simply write the nal result. You must provide the intermediate steps needed to arrive at the solution in order to get full credit. You may quote results that have been derived in the textbook, homework solutions and class handouts (but if you do so, please cite explicitly the source of any such quotations). The exam consists of six problems with a total of 20 parts. Each part is worth ten points, for a total of 200 points: the inverse hyperbolic tangent can be de ned via the following integral: arctanh x x. 1 x2t2 (a) derive the power series expansion for arctanh x about x = 0. Does this power series converges if x = r or if x = r? (c) evaluate the integral:
