hw8ans - O to P is orthogonal to the plane. 15.1 (24) 0...

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

View Full Document Right Arrow Icon
Math 20C Prof. Fitzsimmons Answers to even-numbered exercises from sections 14.8, 15.1 § 14.8 (16) x = y = z = 25, and the maximum volume is 15 , 625 cm 3 . (26) Use Lagrange multipliers with f ( x, y, z ) = x 2 + y 2 + z 2 and g ( x, y, z ) = ax + by + cz - d . The closest point is P = d a 2 + b 2 + c 2 · h a, b, c i . The distance from this point P to the origin O is d/ a 2 + b 2 + c 2 . Notice that the vector pointing from
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: O to P is orthogonal to the plane. 15.1 (24) 0 (28) e 2-1 2 e 6-1 3 = e 8-e 6-e 2 + 1 6 . (38) ( e 2-1) (1- 2 / 2) (44) The given integral is equal to R 1 ln(1 + y ) dy , which is equal to 2 ln 2-1....
View Full Document

This note was uploaded on 07/04/2010 for the course PHYS PHYS 2B taught by Professor Sinha during the Spring '09 term at UCSD.

Ask a homework question - tutors are online