This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: x 2) + 8( y 1) = 0 which simpliFes to 8 y = 16 4 x or y = x 2 + 2. The level curve is an ellipse whose intersects are ( 8 , 0) and (0 , 2). The gradient vector is perpendicular to the tangent line at (2 , 1) and it points to the outside of the ellipse. 2. (5 points) Find all the second partial derivatives of the function u ( s, t ) = es sin t . Solution. The rst partial derivatives are the following u s = es sin t and u t = es cos t The second partial derivatives are u ss = es sin t, u tt = es sin t, u st = u ts = es cos t...
View
Full
Document
This note was uploaded on 04/29/2008 for the course MATH 20C taught by Professor Helton during the Fall '08 term at UCSD.
 Fall '08
 Helton
 Math

Click to edit the document details