Use Green's theorem to evaluate the line integral Sc xay dx + 2xy?dx where C is...
: Use Green's Theorem to evaluate the following integral f ev? dx + (10x + 8) dy Where C is the triangle with vertices (0,0), (10,0), and (5,8) (in the positive direction).
Use Green's Theorem to evaluate the line integral 2xy dx + (2x + y) dy с where C is the circle centered at the origin with radius 1. Start by sketching the region of integration, D.
Use Green's Theorem to calculate the line integral f. 2xy dx + 2(x+y) dy, where C is the unit circle centered at the origin and it is counter-clockwise oriented. $c 2xy dx + 2(x + y) dy =
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)
12. (5 Points) Use Green's Theorem to evaluate the line integral dr +(7x + cos(y?)) dy, +5y where C is the path around the triangle with vertices (0,0), (4,0), (0,6), oriented counterclockwise. 12. (5 Points) Use Green's Theorem to evaluate the line integral dr +(7x + cos(y?)) dy, +5y where C is the path around the triangle with vertices (0,0), (4,0), (0,6), oriented counterclockwise.
Problem #3: Use Green's Theorem to evaluate the following integral er dx + (3x + 9) dy Where C is the triangle with vertices (0,0), (12,0), and (6,8) (in the positive direction).
Problem. Use Green's Theorem, to evaluate the line integral, 5. Pdr + Qdy = 1] (e. - SP) da, 1. (=x+ + e* In y)dx + (x + y + ) dy, where C is the triangle with the vertices (1,1), (2.1), and (2, 2), and the positive (counter- clockwise) orientation. (10 points)
Use Green's Theorem to evaluate the line integral. 3xe' dx + el dy C: boundary of the region lying between the squares with vertices (2, 2), (2, 2), (-2,-2), (2,-2) and (5, 5), (-5,5),(-5,-5), (5,-5)
10. Use Green's Theorem to evaluate the line integral along the positively oriented closed curve C in the xy-plane. $ 5xydx +4xdy , where C is the triangle with vertices (0,0), (5,4), and (0, 4).
Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise. ∮C 6 ln(6+y) dx−(xy/6+y) dy, where C is the triangle with vertices (0,0), (6,0), and (0,12) ∮C 6 ln(6+y) dx−(xy/6+y)dy=