MATH 2D Study Guide - Midterm Guide: Unit Disk, Gradient Descent, Tangent Space

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

Document Summary

**this is in no way indicative of the actual exam!!! These problems are just to test yourself with some problems that didn"t come out of the book. I"m just using miscellaneous exams from other universities. A few of them are strange or di cult. They"re intended mainly as thinking exercises - to think in di erent perspectives. *your best study materials are homeworks, quizzes, and hamid"s practice problems! (a) what is d. Here, f is a di erentiable function of 3 variables. F (2, 3) =< 4, 1 >, f (2, 3) = 7. Hint: it may help to rewrite this problem as a limit to the origin by translating the variables x, y. 1: suppose for some function f (x, y) we have that fx = Let x = r cos , y = r sin . Calculate f / r and f / . (a) sketch the surface x2 + (y 1)2 = z2.