Mathematics 317T2 Assignment10

Mathematics 317T2 Assignment10 - - C C R d d dxdy y M x N r...

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

View Full Document Right Arrow Icon
Mathematics 317 Assignment #10: due Wednesday, April 7, 2010 1. Verify Green’s theorem when j i F x y + = 2 and C is the circle . 1 2 2 = + y x 2. Verify Green’s theorem when j i F ) ( ) ( 3 3 2 2 y x y x + + - = and R is the rectangular region given by . 3 1 , 2 1 y x 3. Let C be a simple closed curve interior to a simple closed curve C and let R be the region between these two curves. Let . ) , ( ) , ( j i F y x N y x M + = Show that . ∫∫ - =
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: - C C R d d dxdy y M x N r F r F 4. Calculate the area of the ellipse 1 2 2 2 2 = + b y a x by means of the formula -= C ydx xdy A ). ( 2 1 5. BONUS QUESTION: Suppose ) , , ( = C d z y x r F for all closed curves C in three dimensions. Prove or disprove that F ( x , y , z ) must be a constant vector....
View Full Document

Ask a homework question - tutors are online