Please explain clearly. Thank you.
Please explain clearly. Thank you. The path C is defined as the counter clockwise along the...
The curve cis defined as the conter clockwise manner a long the sides of the triangle with vertices at (0,o), (1,0), (1, 2) Use bree's Theoren to evaluate B (2x+y) dx +(sx-2y) dy!
Green's Theorem )dy - (4y2 ex)dx Evaluate Y Here, y is the path along the boundary of the square from (0,0) to (0,1) to (1,1) to (1,0) to (0,0) State Green's Theorem in its entirety. Sketch the curve, y. Indicate the given orientation on the curve. Explain in detail how all the conditions of the hypothesis of the theorem are satisfied. Use Green's Theorem to evaluate the given integral. Simplify your answer completely. Green's Theorem )dy - (4y2 ex)dx Evaluate...
1. Use Green's theorem to evaluate the integral $ xy dx - x^2 y^3 dy, where C is the triangle with vertices (0,0), (1,0) y (1,2)
please solve all thank you so much :) Let C be the curve consisting of line segments from (0, 0) to (3, 3) to (0, 3) and back to (0,0). Use Green's theorem to find the value of [ xy dx + xy dx + y2 + 3 dy. Use Green's theorem to evaluate line integral fc2x e2x sin(2y) dx + 2x cos(2) dy, where is ellipse 16(x - 3)2 + 9(y – 5)2 = 144 oriented counterclockwise. Use Green's...
...HELPPPP....Use Green’s theorem to evaluate Z C (−y + √3 x 2 )dx + (x 3 − ln (y 2 ))dy where C is the rectangle with vertices (0, 0), (1, 0), (0, 2), and (1, 2). 4. Use Green's theorem to evaluate vertices (0,0), (1,0), (0, 2), and (1,2). Sc(-y + V 22)dx + (z? – In (y?))dy where C is the rectangle with
integrals below are equivalent. According to Green's theorem, the two x4 dx+xy dy= y-0 dA Question 9: Calculate both sides of where D is the triangle with vertices at (0,0), (0,1), and (1,0). Note the integral on the left side is around the boundary and you will need three separate integrals. integrals below are equivalent. According to Green's theorem, the two x4 dx+xy dy= y-0 dA Question 9: Calculate both sides of where D is the triangle with vertices at...
Please explain as you solve, thank you! (#1,2 & 4) an arbillal equation is continuous il nu xo would, for small enough pos This establishes Equation 3. EXERCISES In Exercises 1 to 4, use Green's theorem to compute the value of the line integral y dx + xédy, where y is the indicated closed path. 1. The circle given by g(t) = (cost, sin t), 0 < t < 211 2. The square with corners at (+1, 1), traced counterclock-...
9. Green's Theorenm a. Green's Theorem: ap Fdx+Fzdy- b. Let C be the path from (0,0) to (1,1) along the graph of y-x3 and from (1,1) to (0,0) along the graph of y x. Draw a sketch of C. Theorerm to compute ф F-ds where Fay3 dx + (x343xy?) dy and C is the path that you drew in 11a. 9. Green's Theorenm a. Green's Theorem: ap Fdx+Fzdy- b. Let C be the path from (0,0) to (1,1) along the...
#3 Consider the vector field F- Mi+ Nj Pk defined by: F- ysinzi+sinjry cos z k. Compute the line integral ScF dr over a unit circle. Compute the line integral ysin z dr+ r sin z dy + ry cos zdz (0,0,0) #3 Use Green's Theorem to evaluate the line integral along the given positively orientated curve C. e2*t d e" dy, C is the triangle with vertices (0,0), (1,0), and (1,1) #3 Consider the vector field F- Mi+ Nj...
5. Let F (y”, 2xy + €35, 3yes-). Find the curl V F. Is the vector field F conservative? If so, find a potential function, and use the Fundamental Theorem of Line Integrals (FTLI) to evaluate the vector line integral ScF. dr along any path from (0,0,0) to (1,1,1). 6. Compute the Curl x F = Q. - P, of the vector field F = (x4, xy), and use Green's theorem to evaluate the circulation (flow, work) $ex* dx +...