200pj3 - in your estimate. 2. Find a three dimensional unit...

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

View Full Document Right Arrow Icon
Math 200 Fall, 2006 Project #3 Instructions: Use your knowledge of Maple commands to obtain your solutions. Include explanations of how you obtain your answers, and illustrate your work with graphs whenever appropriate. Try to answer questions in a clear, direct, and eFcient way. 1. Consider the function f ( x, y ) = ln( x - 3 y ). (a) Find the equation of the tangent plane of f ( x, y ) at the point (7 , 2). (b) Make a Maple plot showing the graph of f ( x, y ) and the tangent plane at (7 , 2). (c) Use the linear approximation to estimate f (6 . 9 , 2 . 06). Compute the absolute error
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: in your estimate. 2. Find a three dimensional unit vector that is normal to the graph of z = x 2-y 2 + cos(sin( x )) at the point ( , 1 , 2 ). 3. Consider the level surface xyz = 6 at the point (1 , 2 , 3). (a) Find the equation for the tangent plane. (b) Find the parametric equation for the normal line. (c) Make a Maple plot showing the level surface, the tangent plane, and the normal line. Choose the domain and the viewpoint so that you get a good view of all three objects....
View Full Document

This note was uploaded on 03/28/2011 for the course APSC 254 taught by Professor Stephen during the Spring '11 term at The University of British Columbia.

Ask a homework question - tutors are online