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Calculate the total effect of the wind (W(x, y) = (y cos(xy), x cos(xy))) across the square with vertices (1,1),(-1,1),(-1,-1),(1,-1). Theorem 5.6.1. Green's Theorem. For a simple, closed region D inside a curve C parameterized so that D is on the left of C and a vector field F = (M(x, y), N(z,y)) whose derivatives are continuous in the region *F(z(1), y(t)) - ( ) dz dy dt dt fF.dr-f 7= = * M(z(1), y(t)) dz + N(z(1), y(1)) dy (² - CON = dz dy. dr - dt ƏM dy PLEASE SETUP THE CALCULATION USING 2 ways/ doing both sides/ Use the same GREENS THEOREM JUST DO THE OTHER forms of the equation Highly appreciate your help thankyou

Calculate the total effect of the wind (W(x, y) = (y cos(xy), x cos(xy))) across the square with vertices (1,1),(-1,1),(-1,-1),(1,-1). Theorem 5.6.1. Green's Theorem. For a simple, closed region D inside a curve C parameterized so that D is on the left of C and a vector field F = (M(x, y), N(z,y)) whose derivatives are continuous in the region *F(z(1), y(t)) - ( ) dz dy dt dt fF.dr-f 7= = * M(z(1), y(t)) dz + N(z(1), y(1)) dy (² - CON = dz dy. dr - dt ƏM dy PLEASE SETUP THE CALCULATION USING 2 ways/ doing both sides/ Use the same GREENS THEOREM JUST DO THE OTHER forms of the equation Highly appreciate your help thankyou

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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PLEASE setup multiple ways with the equations i provided one parametrized version and the other just partial derivatives 

Calculate the total effect of the wind (W(x, y) = (y cos(xy), x cos(xy))) across the square with vertices (1,1),(-1,1),(-1,-1), (1,-1). Theorem 5.6.1. Green's Theorem. For a simple, closed region D inside a curve C parameterized so that D is on the left of C and a vector field F = (M(x, y), N(x, y)) whose derivatives are continuous in the region F(z (1), y(1)). - f. F. dr = da dy 7 dt - -1 (3-4) = M(z(1), y(1)) dr + N(2(1), y(1)) dy dz dy. PLEASE SETUP THE CALCULATION USING 2 ways/ doing both sides/ Use the same GREENS THEOREM JUST DO THE OTHER forms of the equation Highly appreciate your help thankyou
Transcribed Image Text:Calculate the total effect of the wind (W(x, y) = (y cos(xy), x cos(xy))) across the square with vertices (1,1),(-1,1),(-1,-1), (1,-1). Theorem 5.6.1. Green's Theorem. For a simple, closed region D inside a curve C parameterized so that D is on the left of C and a vector field F = (M(x, y), N(x, y)) whose derivatives are continuous in the region F(z (1), y(1)). - f. F. dr = da dy 7 dt - -1 (3-4) = M(z(1), y(1)) dr + N(2(1), y(1)) dy dz dy. PLEASE SETUP THE CALCULATION USING 2 ways/ doing both sides/ Use the same GREENS THEOREM JUST DO THE OTHER forms of the equation Highly appreciate your help thankyou
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