(1 point) Use Green's theorem to evaluate where C is the rectangle with vertices (0,0). (3,0) (3,2) and (0, 2) O A. I- 12 B. 1-24 O C. I- 48 E. I96 (1 point) Use Green's theorem to evalu...
Problem 13. (1 point) Use Green's theorem to evaluate [4(-y +y)dx +4(x + 2xy)] dy. where C is the rectangle with vertices (0, 0), (5, 0) (5, 2) and (0, 2). A.1-20 B. I 160 DEI 40
Problem 13. (1 point) Use Green's theorem to evaluate [4(-y +y)dx +4(x + 2xy)] dy. where C is the rectangle with vertices (0, 0), (5, 0) (5, 2) and (0, 2). A.1-20 B. I 160 DEI 40
2. (8 pts) Use Green's Theorem to evaluate fcln(1 + y) dx - triangle with vertices (0,0), (2,0) and (0,4). 17, dy, where C is the
...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
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.
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 provide explanations.
(a) (7 points) Use the Green's Theorem to evaluate the line integral y dr+ry dy, where 2 C is the positively oriented triangle with vertices (0,0), (2,0) and (2,6) (b) (7 points) Let F(x, y) = (2xsin(y) + y2) i(x2 cos(y) +2ry)j. Find the scalar function f such that Vf F. equation of the tangent plane to the surface r(u, v) (u+v)i+3u2j+ (c) (7 points) Find an (u- v) k at the point (ro, yo, 20) (2,...
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 line integral Sc xay dx + 2xy?dx where C is the triangle with vertices 10,0), 12, 2), and 12,8).
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=
Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise. ху 7 In(7 + y) dx - dy, where C is the triangle with vertices (0,0), (4,0), and (0,8) fe 7+ y ху f 7 ln(7 + y) dx – dy = 7+y