Question
In: Statistics and Probability
F=xyi+yzj+zk. LetSbe the boundary of the cylinder 0≤z≤1,x2+y2≤1 (oriented outwards), andEthe interior. Compute∫∫S(F)·dSdirectly (S=S1+S2+S3, withS1=top,S3=bottom,S2=side. OnS1andS3you...
F=xyi+yzj+zk. LetSbe the boundary of the cylinder 0≤z≤1,x2+y2≤1 (oriented outwards), andEthe interior. Compute∫∫S(F)·dSdirectly (S=S1+S2+S3, withS1=top,S3=bottom,S2=side. OnS1andS3you can just say what dS is, but you must compute on S2.
Solutions
orchestra answered 1 year agoRelated Solutions
Let F(x, y, z) = z tan−1(y2)i + z3 ln(x2 + 8)j + zk. Find the...
Let
F(x, y,
z) = z
tan−1(y2)i
+ z3
ln(x2 + 8)j +
zk.
Find the flux of F across S, the part
of the paraboloid
x2 +
y2 + z = 28
that lies above the plane
z = 3
and is oriented upward.
S
F · dS =
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