234-slemrod-08faex02

234-slemrod-08faex02 - Math 234 M Slemrod Exam 2 NAME...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

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

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

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

View Full DocumentRight Arrow Icon
Background image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 234 M. Slemrod Exam 2 November 20, 2008 NAME: TA’s NAME: Closed book, no notes, calculators, books, electronic devices of any kind (e.g. MP players). ' SHOW ALL YOUR WORK! Math 234 Page 1 1. Compute the volume of region D that lies inside the cardoid 7” 2 2 + sin (9, outside the circle 7“ = 2, above the xy—plane, and below the plane 2 = 4. Hint: Useful formula 1 $1112 6 = 5(1 — cos 20) Answer: (33 pts) Math 234 Page 2 2. Use integration to find the volume of the tetrahedron in the first octant (x Z O, y 2 0, 2 Z O) bounded by the coordinate planes passing through (1, 0,0), (0, 2, 0), (0, 0, 3). Answer: (33 pts) Math 234 , Page 3 3. Use Lagrange multipliers to find the largest product Cf three positive numbers :13, y, z satisfying :1: + y + 22 : 20. Answer: (34 pts) ...
View Full Document

This note was uploaded on 09/15/2009 for the course MATH 234 taught by Professor Dickey during the Fall '08 term at University of Wisconsin.

Page1 / 4

234-slemrod-08faex02 - Math 234 M Slemrod Exam 2 NAME...

This preview shows document pages 1 - 4. Sign up to view the full document.

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