This preview shows pages 1–6. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: (b) (6 points) an iterated integral in spherical coordinates. 6. Let F ( x, y ) = ( ye xy + y ) i + ( xe xy + x ) j . (a) (7 points) Determine whether F is conservative. If so, Fnd f so that F = f . If not, state that F is not conservative. (b) (7 points) Let C be the perimeter of the triangle with vertices (1 , 2), (3 , 7), (2 ,1), oriented counterclockwise. Evaluate H C F d r . 7. (12 points) Evaluate I C ln(1 + y ) dx + 3 + 1 1 + y x dy where C is the boundary of the triangle with vertices (0 , 0), (4 , 0) and (0 , 4), oriented counterclockwise. 8. (12 points) Evaluate RR Q F n dS . The vector Feld F = ( yx ) i + ( zy ) j + ( yx ) k . The solid Q is the cube bounded by the planes x = 1, y = 1 and z = 1....
View
Full
Document
This note was uploaded on 11/07/2010 for the course MATH 265 taught by Professor Gregorac during the Spring '08 term at Iowa State.
 Spring '08
 Gregorac
 Math, Calculus

Click to edit the document details