4. Evaluate the surface integral [[ f dS where, = xz and E is the boundary of the region D in R3 inside the cylinder a2 + y? = 1 between the (a) f(x,y, z) planes z = 0 and z = x + 2. (b) f(x,y, z) = x² and E is the boundary of the region D in R³ inside the cone 2² planes z = 1 and z = 2. = x2 + y? and between the

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4. Evaluate the surface integral fS f dS where,
Σ
(a) f(x, y, z) = xz and E is the boundary of the region D in R³ inside the cylinder x2 + y?
planes z = 0 and z = x + 2.
= 1 between the
(b) f(x,y, z) = x² and E is the boundary of the region D in R³ inside the cone z2 = x² + y² and between the
planes z = 1 and z = 2.
Transcribed Image Text:4. Evaluate the surface integral fS f dS where, Σ (a) f(x, y, z) = xz and E is the boundary of the region D in R³ inside the cylinder x2 + y? planes z = 0 and z = x + 2. = 1 between the (b) f(x,y, z) = x² and E is the boundary of the region D in R³ inside the cone z2 = x² + y² and between the planes z = 1 and z = 2.
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