MATH 21A Study Guide - Midterm Guide: Unit Disk, Unit Circle, Constant Function
Document Summary
Answers which are illeg- ible for the grader cannot be given credit: show your work. Except for problems 1-2, we need to see details of your computation: no notes, books, calculators, computers, or other electronic aids can be allowed, you have 90 minutes time to complete your work. Mark for each of the 20 questions the correct letter. F f (x, y) and g(x, y) = f (x2, y2) have the same critical points. If a function f (x, y) = ax + by has a critical point, then f (x, y) = 0 for all (x, y). Given 2 arbitrary points in the plane, there is a function f (x, y) which has these points as critical points and no other critical points. If (x0, y0) is the maximum of f (x, y) on the disc x2 +y2 1 then x2.
