Evaluate the integral ∮CF⋅dr for F=(5x2y)i+(2x2−5xy2)j on the
curve C consisting of the x-axis from x=0 to x=3, the arc of the
circle x2+y2=9
up to the line y=x, and the
line y=xdown to the origin. ∮CF⋅dr=
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Evaluate the integral ∮CF⋅dr for F=(5x2y)i+(2x2−5xy2)j on the curve C consisting of the x-axis fr...
Evaluate line integral ( F. dr where C is any positively oriented simple closed curve that...
Evaluate line integral ( F. dr where C is any positively oriented simple closed curve that encloses the origin by using a circle of radius r, and r is small enough so that the circle lies entirely inside C given F(x, y) = ? 1)_ 2xyi +(y2 – xº)j Ans (x² + y²)
Use Stokes' Theorem to evaluate the line integral $cF. dr, where F(x, y, z) = (-y+z)i...
Use Stokes' Theorem to evaluate the line integral $cF. dr, where F(x, y, z) = (-y+z)i + (x – z)j + (x – y)k. S is the surface z = V1 – 22 – y2, and C is the boundary of S with counterclockwise orientation (from above).
Evaluate the line integral. fr de x² dx + y²dy, where C is the arc of...
Evaluate the line integral. fr de x² dx + y²dy, where C is the arc of the circle x2 + y2 = 4 from (2,0) to (0,2) followed by the line segment from (0, 2) to (4,3).
Use Stoke's Theorem to evaluate ∫CF⋅dr∫CF⋅dr where F=〈e−6x−1yz,e−1y+1xz,e−5z〉F=〈e−6x−1yz,e−1y+1xz,e−5z〉 and CC is the circle x2+y2=9x2+y2=9 on the...
Use Stoke's Theorem to evaluate ∫CF⋅dr∫CF⋅dr where
F=〈e−6x−1yz,e−1y+1xz,e−5z〉F=〈e−6x−1yz,e−1y+1xz,e−5z〉
and CC is the circle x2+y2=9x2+y2=9 on the plane z=6z=6 having
traversed counterclockwise orientation when viewed from above.
The line integral equals
Main Menu Contents Grades Course Contents » ... » PROBLEM SET 12 » stokestheorem-2 Use Stoke's Theorem to evaluate Sc F. dr where F = (e-63 – lyz, e-ly + 1xz, e -52) and C is the circle x2 + y2 = 9 on the plane z= 6 having traversed...
Evaluate the line integral f F dr for the vector field F(x, y, z) curve C...
Evaluate the line integral f F dr for the vector field F(x, y, z) curve C parametrised by Vf (x, y, z) along the with tE [0, 2 r() -(Vt sin(2πt), t cos (2πi), ?) ,
Evaluate the line integral f F dr for the vector field F(x, y, z) curve C parametrised by Vf (x, y, z) along the with tE [0, 2 r() -(Vt sin(2πt), t cos (2πi), ?) ,
1. Evaluate the line integral S3x2yz ds, C: x = t, y = t?, z =...
1. Evaluate the line integral S3x2yz ds, C: x = t, y = t?, z = t3,0 st 51. 2. Evaluate the line integral Scyz dx - xz dy + xy dz , C: x = e', y = e3t, z = e-4,0 st 51. 3. Evaluate SF. dr if F(x,y) = x?i + xyj and r(t) = 2 costi + 2 sin tj, 0 st St. 4. Determine whether F(x,y) = xi + yj is a conservative vector field....
I 8. [6 points) Evaluate the line integral, dr where F(x, y) = 2xy i +...
I 8. [6 points) Evaluate the line integral, dr where F(x, y) = 2xy i + (x2 - y2); and C is where is the are of the parabola y = z from (1,1) to (2,4). (Hint: You may view C as =2 y=?,ists 2.)
2. Evaluate the line integral where C is the given curve: BE SURE THAT YOU PARAMETERIZE EACH CURV...
please be clear as possible. thanks
2. Evaluate the line integral where C is the given curve: BE SURE THAT YOU PARAMETERIZE EACH CURVE! (a) e dr where C is the are of the curve r y' from (-1,-1) to (1, 1): (b) dr dy where C conusists of the arc of the circle 2+ 4 from (2.0) to (0.2) followed by the line segment from (0.2) to (4,3) (c) y': ds where C is the line segment from (3,...
How do I prove that the vector line integral of F over the curve C not...
How do I prove that the vector line integral of F over the curve
C not depend on the value of R?
R, 9) = - 2 + y2 x2 + y2 and CR is the circle of radius R centered at the origin. 7
(4) Evaluate the line integral F dr where C is the epicycloid with parametrization given by r(t) 5 cos t - gradient of...
(4) Evaluate the line integral F dr where C is the epicycloid with parametrization given by r(t) 5 cos t - gradient of the function f(x, y) = 3 sin(ry) + cos(y2) cos 5t and y(t) = 5 sin t - sin 5t for 0 < t < 2« and F is the (5) EvaluateF dr where F(x, y) with counterclockwise orientation (2y, xy2and C is the ellipse 4r2 9y2 36 _ F dr where F(r, y) = (x2 -...
Evaluate line integral ( F. dr where C is any positively oriented simple closed curve that encloses the origin by using a circle of radius r, and r is small enough so that the circle lies entirely inside C given F(x, y) = ? 1)_ 2xyi +(y2 – xº)j Ans (x² + y²)
Use Stokes' Theorem to evaluate the line integral $cF. dr, where F(x, y, z) = (-y+z)i + (x – z)j + (x – y)k. S is the surface z = V1 – 22 – y2, and C is the boundary of S with counterclockwise orientation (from above).
Evaluate the line integral. fr de x² dx + y²dy, where C is the arc of the circle x2 + y2 = 4 from (2,0) to (0,2) followed by the line segment from (0, 2) to (4,3).
Use Stoke's Theorem to evaluate ∫CF⋅dr∫CF⋅dr where
F=〈e−6x−1yz,e−1y+1xz,e−5z〉F=〈e−6x−1yz,e−1y+1xz,e−5z〉
and CC is the circle x2+y2=9x2+y2=9 on the plane z=6z=6 having
traversed counterclockwise orientation when viewed from above.
The line integral equals
Main Menu Contents Grades Course Contents » ... » PROBLEM SET 12 » stokestheorem-2 Use Stoke's Theorem to evaluate Sc F. dr where F = (e-63 – lyz, e-ly + 1xz, e -52) and C is the circle x2 + y2 = 9 on the plane z= 6 having traversed...
Evaluate the line integral f F dr for the vector field F(x, y, z) curve C parametrised by Vf (x, y, z) along the with tE [0, 2 r() -(Vt sin(2πt), t cos (2πi), ?) ,
Evaluate the line integral f F dr for the vector field F(x, y, z) curve C parametrised by Vf (x, y, z) along the with tE [0, 2 r() -(Vt sin(2πt), t cos (2πi), ?) ,
1. Evaluate the line integral S3x2yz ds, C: x = t, y = t?, z = t3,0 st 51. 2. Evaluate the line integral Scyz dx - xz dy + xy dz , C: x = e', y = e3t, z = e-4,0 st 51. 3. Evaluate SF. dr if F(x,y) = x?i + xyj and r(t) = 2 costi + 2 sin tj, 0 st St. 4. Determine whether F(x,y) = xi + yj is a conservative vector field....
I 8. [6 points) Evaluate the line integral, dr where F(x, y) = 2xy i + (x2 - y2); and C is where is the are of the parabola y = z from (1,1) to (2,4). (Hint: You may view C as =2 y=?,ists 2.)
please be clear as possible. thanks
2. Evaluate the line integral where C is the given curve: BE SURE THAT YOU PARAMETERIZE EACH CURVE! (a) e dr where C is the are of the curve r y' from (-1,-1) to (1, 1): (b) dr dy where C conusists of the arc of the circle 2+ 4 from (2.0) to (0.2) followed by the line segment from (0.2) to (4,3) (c) y': ds where C is the line segment from (3,...
How do I prove that the vector line integral of F over the curve
C not depend on the value of R?
R, 9) = - 2 + y2 x2 + y2 and CR is the circle of radius R centered at the origin. 7
(4) Evaluate the line integral F dr where C is the epicycloid with parametrization given by r(t) 5 cos t - gradient of the function f(x, y) = 3 sin(ry) + cos(y2) cos 5t and y(t) = 5 sin t - sin 5t for 0 < t < 2« and F is the (5) EvaluateF dr where F(x, y) with counterclockwise orientation (2y, xy2and C is the ellipse 4r2 9y2 36 _ F dr where F(r, y) = (x2 -...
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