Review 4

# Review 4 - IV Find the work done by force F x y z =< y z...

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MA 242 REVIEW 4 I. Find the mass of the surface 4 - z = ( x 2 + y 2 ) 1 / 2 above z=0 where the density is the distance to the z-axis. II. Find the ﬂux through the part of the surface y + z = 2 that is inside y = x 2 and above z=0 of a ﬂuid with velocity F ( x, y, z ) = < z, z, z > The orientation is up. . III. Find the ﬂux of the ﬂuid with velocity F ( x, y, z ) = < y, x, e z > through the part of surface x 2 + y 2 = 4 that is above z=0 and below y+z=2. The orientation is out of the cylinder.
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Unformatted text preview: IV. Find the work done by force F ( x, y, z ) = < y, z, x > along the path R ( t ) = < t, t 2 , t > from (0,0,0) to (2,4,2) V. Find the work done going counterclocwise around the closed curve that is a triangle bounded by x=0, x=y and y=2 through force F ( x, y ) = < xy, e y 2 > VI. Find ± C y 2 dx + (2 xy + z + 1) dy + ( y + 2 z ) dz from (1,1,1) to (3,2,1). 1...
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## This note was uploaded on 06/11/2010 for the course MA 242 taught by Professor Bliss during the Spring '08 term at N.C. State.

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