{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

2220hw10

# 2220hw10 - Math 2220 Problem Set 10 Spring 2010 Section 6.1...

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

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 2220 Problem Set 10 Spring 2010 Section 6.1 : 2. Calculate the integral of the function f ( x,y,z ) = xyz over the curve c ( t ) = ( t, 2 t, 3 t ), ≤ t ≤ 2. 4. Calculate the integral of f ( x,y,z ) = 3 x + xy + z 3 over the curve c ( t ) = (cos 4 t, sin4 t, 3 t ), ≤ t ≤ 2 π . 8. Calculate integraltext C F · d s for the vector field F ( x,y,z ) = ( x,y,- z ) where C is the curve c ( t ) = ( t, 3 t 2 , 2 t 3 ),- 1 ≤ t ≤ 1. 18. Evaluate integraltext C ( x 2- y ) dx +( x- y 2 ) dy where C is the line segment from (1 , 1) to (3 , 5). 22. Calculate integraltext C z dx + xdy + y dz where C is the curve obtained by intersecting the surfaces z = x 2 and x 2 + y 2 = 4, and C is oriented counterclockwise when viewed from above. 28. Let F be the radial vector field F = x i + y j + z k . Show that integraltext C F · d s = 0 whenever C is a curve c ( t ) = ( x ( t ) ,y ( t ) ,z ( t )) that lies on the sphere x 2 + y 2 + z 2 = c 2 . Hint: Differentiate [ x ( t )] 2 + [ y ( t )] 2 + [...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online