Use Green's Theorem to evaluate the line integral along the given positively oriented curve. (3y +...
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
Use Green's Theorem to evaluate the line integral ang the given positively oriented curve (3y+5eVX d(Bx5 cos(y2) dy x2 and x y2 C is the boundary of the region enclosed by the parabolas y Use Green's Theorem to evaluate the line integral ang the given positively oriented curve (3y+5eVX d(Bx5 cos(y2) dy x2 and x y2 C is the boundary of the region enclosed by the parabolas y
(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
MA261-calculasIII a) Use Green's Theorem to evaluate the line integral -4x'ydx + 4xy-dy along the Q5. (10+10+5=25 points) positively oriented curve C which is the boundary of the region enclosed by upper half of the circle x2 + y2 = 9 and x-axis. b) Evaluate Scą - 4xydx + 4xy?dy where G is only upper half of the circle x² + y2 = 9. c) If P = 0, Q = x in part (a), find $ xdy without taking...
4.Use Green's Theorem to evaluate the line integral. ∫C 2xydx + (x + y)dy C: boundary of the region lying between the graphs of y = 0 and y = 1 - x2_______ 5.Use Green's Theorem to evaluate the line integral. ∫C ex cos(2y) dx - 2ex sin(2y) dy C: x2 + y2 = a2 _______
Q5. (10+10+5=25 points) a) Use Green's Theorem to evaluate the line integral $. 3x2ydx - 3xy’dy along the negatively oriented curve C which is the boundary of the region enclosed by upper half of the circle x2 + y2 = 4 and x-axis. b) Evaluate Sc, 3x” ydx – 3xy?dy where C1 is only upper half of the circle x2 + y2 = 4. c) If P = 0, Q = x in part (a), find $ xdy without taking...
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).
could u please solve them all Thanks :) (15 points) Evaluate the given integral along positively oriented curve 2 and y2 where C is the boundary of the region enclosed by the parabolas y # (Hint: Use Green Theorem). (15 points) Let F = (6fpi + (2x3jj + .k be given. (a) Evaluate f F-dr along the plane curve y = 12 fronn (0.0.0) to (2,4,0). b) Evaluate, curl(F), div(F) and div(curl(F)) (15 points) Evaluate the given integral along positively...
Use Green's Theorem to evaluate the line integral. (x - 97) dx + (x + y) dy C: boundary of the region lying between the graphs of x2 + y2 = 1 and x2 + y2 = 81 x-9