quiz10 - point If it is impossible to tell if there is a...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Name: Quiz 10 7 November 2005 Write the best answer to each question in the box provided. Show your work. 1. Compute the partial derivatives f x , f y , f xx , f yy , and f xy if f ( x, y ) = x 2 + 5 xy + e 2 x +3 y f x = f y = f xx = f yy = f xy = 2. Find all the critical points for the function f ( x, y ) = x 3 3 - xy + y 2 2 + 43. (Hint: f x ( x, y ) = x 2 - y and f y ( x, y ) = y - x ). 3. Suppose that we have the following table of values for the points (1 , 1), (1 , 2), and (1 , 3). Classify the points as locations of a relative maximum, a relative minimum, or a saddle
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: point. If it is impossible to tell if there is a saddle point or extremum at the point using the test in 9.3, then write “I cannot tell”. ( a, b ) f xx ( a, b ) f yy ( a, b ) f xy ( a, b ) (1,1) 1 2-2 (1,2)-3-5 1 (1,3) 2 8 4 (1 , 1) : (1 , 2) : (1 , 3) :...
View Full Document

This note was uploaded on 02/18/2012 for the course MATH 119 taught by Professor Wilde during the Fall '08 term at BYU.

Ask a homework question - tutors are online