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1. (2 marks) Use Green's theorem in a plane to evaluate the line integral f [le*...
Use Green's Theorem to evaluate the line integral.
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 _______
MA261-calculasIII a) Use Green's Theorem to evaluate the line integral -4x'ydx + 4xy-dy along the Q5....
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...
Q5. (10+10+5=25 points) a) Use Green's Theorem to evaluate the line integral $. 3x2ydx - 3xy’dy...
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...
Use Green's Theorem to evaluate the line integral ſc 543 dx – 5x3 dywhere C is...
Use Green's Theorem to evaluate the line integral ſc 543 dx – 5x3 dywhere C is the positively oriented circle 22 + y2 = 16. Enter the integral including limits of integration that you find after applying Green's Theorem. Also, enter the value you find after evaluating the integral.
Use Green's theorem to evaluate the line integral S. (sin(22) – 5y) dx + (72 –...
Use Green's theorem to evaluate the line integral S. (sin(22) – 5y) dx + (72 – y cos y) dy, where C is the the counter clockwise oriented closed curve consisting of the upper half of the circle (x – 5)2 + (y – 4)2 = 9 and the line segment between (2, 4) and (8,4).
Q1. Evaluate the line integral f (x2 + y2)dx + 2xydy by two methods a) directly,...
Q1. Evaluate the line integral f (x2 + y2)dx + 2xydy by two methods a) directly, b) using Green's Theorem, where C consists of the arc of the parabola y = x2 from (0,0) to (2,4) and the line segments from (2,4) to (0,4) and from (0,4) to (0,0). [Answer: 0] Q2. Use Green's Theorem to evaluate the line integral $. F. dr or the work done by the force field F(x, y) = (3y - 4x)i +(4x - y)j...
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. (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
Use Green's theorem to evaluate line integral F.dr, where F(x, y) = (y2 – x2)i +...
Use Green's theorem to evaluate line integral F.dr, where F(x, y) = (y2 – x2)i + (x2 + y2)j, and C is a triangle bounded by y = 0, x = 6, and y = x, oriented counterclockwise.
please answer all 3 questions, I need help. thank you Use Green's Theorem to evaluate the...
please answer all 3 questions, I need help. thank you
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)...
Use Green's Theorem to evaluate the line integral along the given positively oriented curve I =...
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
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...
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...
Use Green's Theorem to evaluate the line integral ſc 543 dx – 5x3 dywhere C is the positively oriented circle 22 + y2 = 16. Enter the integral including limits of integration that you find after applying Green's Theorem. Also, enter the value you find after evaluating the integral.
Use Green's theorem to evaluate the line integral S. (sin(22) – 5y) dx + (72 – y cos y) dy, where C is the the counter clockwise oriented closed curve consisting of the upper half of the circle (x – 5)2 + (y – 4)2 = 9 and the line segment between (2, 4) and (8,4).
Q1. Evaluate the line integral f (x2 + y2)dx + 2xydy by two methods a) directly, b) using Green's Theorem, where C consists of the arc of the parabola y = x2 from (0,0) to (2,4) and the line segments from (2,4) to (0,4) and from (0,4) to (0,0). [Answer: 0] Q2. Use Green's Theorem to evaluate the line integral $. F. dr or the work done by the force field F(x, y) = (3y - 4x)i +(4x - y)j...
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
Use Green's theorem to evaluate line integral F.dr, where F(x, y) = (y2 – x2)i + (x2 + y2)j, and C is a triangle bounded by y = 0, x = 6, and y = x, oriented counterclockwise.
please answer all 3 questions, I need help. thank you
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)...
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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