5. By referring to the discussion in Sec. 14 related to Fig. 19 there, find a domain in the z plane whose image under the transformation w = z² is the square domain in the w plane bounded by the lines u = 1, u = 2, v = 1, and v = = 2. (See Fig. 2, Appendix 2.)

MORISO Exam 1 MAT180-SP2025 Name: Abigail ofcrivan Each problem is worth 4 points. Partial credit will be assigned where earned. Please make sure to answer all questions completely and thoroughly for full credit. This exam is open notes/book/homework (no internet resources otherwise), but you should still offer clear explanation and/or show work on necessary problems. Students should complete this exam on their own. It is due by Wednesday. February 12th at 11:00am. Students who are absent from class, must scan and email their exams. Late exams are not accepted without prior approval. Students found to be using unapproved resources or working with other people will receive a 0. 1.) Rewrite the following statement in TWO different ways: Every positive real number has a multiplicative inverse (i.e. reciprocal). (Note: Simply changing the term "multiplicative inverse" to "reciprocal" will not count.) 2) Write the negation for each of the following statements. a.) Rory plays basketball and…

2. Use Broyden's method to solve the nonlinear system x² + y²+sin(x + y) x+y+cos(xy) = a = = 5 where a is the number formed by the first two digits of your SUID. Try at least two different starting points (or more, if needed to find a solution). Report the outcome of running the method for each starting point. Was the root you found always the same?