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Write the line integral for the y sin x boundary. 2 sint-31) dt 0 (Type an exact answer.)

Write the line integral for the y sin x boundary. 2 sint-31) dt 0 (Type an exact answer.)

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=(-2y,3x), R is the region bounded by y sin x and y=0, for 0≤x≤*. Type all exall answer) b. Set up the integral over the region R xsin x SS (-1) dy dx 0 0 (Type exact answers.) Write the line integral for the y=0 boundary. R f(0) at dt 0 (Type an exact answer.) Write the line integral for the y sin x boundary. -2 sint-3t) dt 0 (Type an exact answer.)
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=(-2y,3x), R is the region bounded by y sin x and y=0, for 0≤x≤*. Type all exall answer) b. Set up the integral over the region R xsin x SS (-1) dy dx 0 0 (Type exact answers.) Write the line integral for the y=0 boundary. R f(0) at dt 0 (Type an exact answer.) Write the line integral for the y sin x boundary. -2 sint-3t) dt 0 (Type an exact answer.)
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