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Consider the following region R and the vector field F. a. Compute the two-dimensional curl of the vector field. b. Evaluate both integrals in Green's Theorem and check for consistency. F = (-3y,3x); R is the triangle with vertices (0,0), (2,0), and (0,2). a. The two-dimensional curl is (Type an exact answer.) b. Select the correct choice below and fill in the answer box(es) to complete your choice. (Type an exact answer.) OA. The integrals are consistent because they both evaluate to OB. The integrals are not consistent. The double integral evaluates to but the line integral evaluates to

Consider the following region R and the vector field F. a. Compute the two-dimensional curl of the vector field. b. Evaluate both integrals in Green's Theorem and check for consistency. F = (-3y,3x); R is the triangle with vertices (0,0), (2,0), and (0,2). a. The two-dimensional curl is (Type an exact answer.) b. Select the correct choice below and fill in the answer box(es) to complete your choice. (Type an exact answer.) OA. The integrals are consistent because they both evaluate to OB. The integrals are not consistent. The double integral evaluates to but the line integral evaluates to

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following region R and the vector field F. a. Compute the two-dimensional curl of the vector field. b. Evaluate both integrals in Green's Theorem and check for consistency. F = (-3y,3x): R is the triangle with vertices (0,0). (2,0), and (0,2). a. The two-dimensional curl is (Type an exact answer.) b. Select the correct choice below and fill in the answer box(es) to complete your choice. (Type an exact answer.) OA. The integrals are consistent because they both evaluate to OB. The integrals are not consistent. The double integral evaluates to but the line integral evaluates to
Transcribed Image Text:Consider the following region R and the vector field F. a. Compute the two-dimensional curl of the vector field. b. Evaluate both integrals in Green's Theorem and check for consistency. F = (-3y,3x): R is the triangle with vertices (0,0). (2,0), and (0,2). a. The two-dimensional curl is (Type an exact answer.) b. Select the correct choice below and fill in the answer box(es) to complete your choice. (Type an exact answer.) OA. The integrals are consistent because they both evaluate to OB. The integrals are not consistent. The double integral evaluates to but the line integral evaluates to
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