Math_200_December_2006 - 1. [17] Consider the surface given...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
1 .[ 17 ] Consider the surface given by: z 3 xyz 2 4 x 0. (a) Find expressions for z x , z y as functions of x , y , z . (b) Evaluate z x , z y at 1, 1, 2 . (c) Measurements are made with errors, so that x 1 0.03 and y 1 0.02. Find the corresponding maximum error in measuring z . (d) A particle moves over the surface along the path whose projection in the xy plane is given in terms of the angle as x 1 cos , y sin from the point A : x 2, y 0 to the point B : x 1, y 1. Find dz d at points A and B . ANSWERS ( a ) z x z y ( b ) z x z y ( c ) Max Error : ( d ): dz d
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2 .[ 15 ] A hiker is walking on a mountain with height above the z 0 plane given by z f x , y 6 xy 2 . The positive x axis points east and the positive y axis points north, and the hiker starts from the point P
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/23/2011 for the course MATH 100,200,30 taught by Professor Dr.alejandrocortas during the Winter '10 term at The University of British Columbia.

Page1 / 7

Math_200_December_2006 - 1. [17] Consider the surface given...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online