give an example of the divergence theorem and the greens theorem

Expert Solution

Colby Messinger answered 2 years ago

proof of the general stokes theorem using the greens and divergence theorem that is understandable by...

proof of the general stokes theorem using the greens and divergence theorem that is understandable by a calculus student

Explain Greens theorem, divergence form usung words and pictures. Then explain what the fundamental theorem of...

Explain Greens theorem, divergence form usung words and pictures. Then explain what the fundamental theorem of calculus and the fundamental theorem of line integrals have in common.

Example 10.5: Verify the divergence theorem for the vector ﬁeld F = 2xzi + yzj +z2k...

Example 10.5: Verify the divergence theorem for the vector ﬁeld F = 2xzi + yzj +z2k and V is the volume enclosed by the upper hemisphere x2 + y2 + z2 = a2, z ≥ 0

Use the Divergence Theorem to evaluate ∫∫ ? ∙ ?? where ? = ??2 ?⃑+ (??2...

Use the Divergence Theorem to evaluate ∫∫ ? ∙ ?? where ? = ??2 ?⃑+ (??2 − 3?4 )?⃑+ (?3 + ?2 )? and S is the surface of the sphere of radius 4 with ? ≤ 0 and ? ≤ 0 . would spherical coordinates work?

Verify that the Divergence Theorem is true for the vector field F on the region E....

Verify that the Divergence Theorem is true for the vector field F on the region E. Give the flux. F(x, y, z) = xyi + yzj + zxk, E is the solid cylinder x2 + y2 ≤ 144, 0 ≤ z ≤ 4.

Use the Divergence Theorem to calculate the surface integral S F · dS; that is, calculate...

Use the Divergence Theorem to calculate the surface integral S F · dS; that is, calculate the flux of F across S. F(x, y, z) = x4i − x3z2j + 4xy2zk, S is the surface of the solid bounded by the cylinder x2 + y2 = 1 and the planes z = x + 8 and z = 0

Verify the divergence theorem for the vector ﬁeld F = 2xzi + yzj +z2k and V...

Verify the divergence theorem for the vector ﬁeld F = 2xzi + yzj +z2k and V is the volume enclosed by the upper hemisphere x2 + y2 + z2 = a2, z ≥ 0

Verify the Divergence Theorem for the vector field F(x, y, z) = < y, x ,...

Verify the Divergence Theorem for the vector field F(x, y, z) = < y, x , z^2 > on the region E bounded by the planes y + z = 2, z = 0 and the cylinder x^2 + y^2 = 1. By Surface Integral: By Triple Integral:

Give an example of a problem when you may need to use the central limit theorem...

Give an example of a problem when you may need to use the central limit theorem to compute thr cjances of an event and why

Use the extended divergence theorem to compute the total flux of the vector field F(x, y,...

Use the extended divergence theorem to compute the total flux of the vector field F(x, y, z) = −3x2 + 3xz − y, 2y3 − 6y, 9x2 + 4z2 − 3x outward from the region F that lies inside the sphere x2 + y2 + z2 = 25 and outside the solid cylinder x2 + y2 = 4 with top at z = 1 and bottom at z = −1.

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