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

Ask a homework question - tutors are online