This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: ) = h z,x,y i . Compute the line integral R C F .d r (for whichever orientation you like). 5. Let F ( x,y,z ) = h xz,yz,xy i . Let S be the part of the sphere x 2 + y 2 + z 2 = 4 that is inside the cylinder x 2 + y 2 = 1 and above the xyplane. Compute ZZ S Curl F .d S . 1 2 Formulae These are included only to jog your memory  you are supposed to know what they mean. (a) SA = ZZ R s 1 + f x 2 + f y 2 dA. (b) Z C F .d r = Z C P dx + Q dy = ZZ R Q xP y dA. (c) f = f x , f y , f z . Div F = M x + N y + P z . Curl F = i j k x y z M N P . (d) ZZ S Curl F .d S = Z C F .d r ....
View
Full
Document
This note was uploaded on 12/15/2011 for the course MAC 2313 taught by Professor Keeran during the Spring '08 term at University of Florida.
 Spring '08
 Keeran
 Calculus, Geometry

Click to edit the document details