Consider the following region R and the vector field F. a. Compute the two-dimensional divergence of the vector field. b. Evaluate both integrals in Green's Theorem and check for consistency. = (2xy,4x² - y²); R = {(x,y): 0 ≤ y ≤x(3-x)} a. The two-dimensional divergence is. (Type an exact answer.)

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Consider the following region R and the vector field F.
a. Compute the two-dimensional divergence of the vector field.
b. Evaluate both integrals in Green's Theorem and check for consistency.
F = (2xy,4x² - y²); R = {(x,y): 0 ≤ y ≤x(3-x)}
a. The two-dimensional divergence is
(Type an exact answer.)
Transcribed Image Text:Consider the following region R and the vector field F. a. Compute the two-dimensional divergence of the vector field. b. Evaluate both integrals in Green's Theorem and check for consistency. F = (2xy,4x² - y²); R = {(x,y): 0 ≤ y ≤x(3-x)} a. The two-dimensional divergence is (Type an exact answer.)
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