3 Use Green's Theorei in the plahe ro evaluare where C is a pesirively oriented curve around the ...
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=
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. 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
Use Green's Theorem to evaluate the line integral along the given positively oriented curve I = Sc (2y + 7eV*)dx + (3x + cos(y2))dy, where the curve C is the boundary of the region enclosed by the parabolas y = 9x2 and x = y2
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Use Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise. $(9x+ ex) dy- (4y + sinh x) dx, where C is the boundary of the square with vertices (2, 0), (5, 0), (5, 3), and (2, 3). $(9x+ ey?) ay- (4y+ + sinhx) dx = 0 (Type an exact answer.) Use Green's Theorem to evaluate the following line integral. i dy - g dx, where (19)...
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2. Use Green's Theorem to evaluate ScF.Tds, where C is the the circle of center (0,0) and radius 2 in the xy plane, oriented counter-clockwise, and F(x, y) = (x3, x). (Please give a numerical answer here. The integral is very easy.)
(1 point) Use Green's Theorem to evaluate the line integral along the given postively oriented curve. 1 = [ (2y + 7eva)dx + (3x + cos(y?))dy C is the boundary of the region enclosed by the parabolas y = 7c and x = yº
Use Green's Theorem to evaluate the line integral along the given positively oriented curve. 4 sin(y) dx + 4x cos(y) dy C is the ellipse x2 + xy + y2 = 49 Ic
Use Green's Theorem to evaluate the line integral along the given positively oriented curve. (3y + 7eVT) dx + (10x + 7 cos(y2)) dy C is the boundary of the region enclosed by the parabolas y = x2 and x = y2 Need Help? Read It Watch It Master It Talk to a Tutor
10. Use Green's theorem to find f dr where 1 F(x,y) -2,23, อี่+ry2 and C is the circle 2,2 +Y'2 4 oriented counterclockwise.
10. Use Green's theorem to find f dr where 1 F(x,y) -2,23, อี่+ry2 and C is the circle 2,2 +Y'2 4 oriented counterclockwise.