MATH 2D Final: MATH 2D Final Exam 2

• School: UC-Irvine
• Department: Mathematics
• Course: MATH 2D
• Professor: All

Document Summary

Instructions: this is it, your nal hurdle to freedom!!! You have 120 min- utes to take this exam, for a total of 100 points. This is a closed book and closed notes exam and calculators and/or portable electronic devices are not allowed. Remember that you are not only graded on your nal answer, but also on your work. If you need to continue your work on the back of the page, clearly indicate so, or else your work will be discarded. 3: (10 points) show that u(x, y) = ln(x2 + y2) solves laplace"s equa- tion uxx + uyy = 0. Math 2d make up final: (10 points) the two sub-parts of this problem are independent of each other (a) (5 points) suppose that for all t, u(t) is a unit vector. Hint: ku(t)k2 = u(t) u(t). (b) (5 points) suppose u is a unit vector.