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(20 points) Let and let C' be any simple closed curve in a plane oriented counterclockwise. Pleas...
5. (a) [6] Let C be a simple closed curve given by the intersection between the cylinder 2y2 1 an...
5. (a) [6] Let C be a simple closed curve given by the intersection between the cylinder 2y2 1 and the surface:-10 + 0.4xy, and F = 《2xz-2y, 2y2+ 2x, x2 + y2 + z?) is a given vector field. Find the circulation F dr
5. (a) [6] Let C be a simple closed curve given by the intersection between the cylinder 2y2 1 and the surface:-10 + 0.4xy, and F = 《2xz-2y, 2y2+ 2x, x2 + y2 + z?)...
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)
Suppose is a closed curve in the plane and that -Y dr + 2? + y2...
Suppose is a closed curve in the plane and that -Y dr + 2? + y2 2 dy = 671 z? + y2 How many self-intersection points must have, at least? By "self-intersection point", I mean a point where the curve intersects itself other than its endpoints. For example, a simple closed curve has zero self-intersection points, and a figure 8 has one self-intersection point. Hint: If a curve has self-intersection points, then it can be divided up into a...
(7.5 points) Let C be the oriented closed space curve traced out by the parametrization r(t)...
(7.5 points) Let C be the oriented closed space curve traced out by the parametrization r(t) = (cost, sint, sin 2t), 0<t<27 and let v be the vector field in space defined by v(x, y, z) = (et - yº, ey + r), e) (a) Show that C lies on the cylinder x2 + y2 = 1 and the surface z = 2cy. (b) This implies that C can be seen as the boundary of the surface S which is...
15. Let F(z,y)- F dr where C is any positively-oriented Jordan curve that encloses the origin Evaluate 15. Let F(z,y)- F dr where C is any positively-oriented Jordan curve that encloses the o...
15. Let F(z,y)- F dr where C is any positively-oriented Jordan curve that encloses the origin Evaluate
15. Let F(z,y)- F dr where C is any positively-oriented Jordan curve that encloses the origin Evaluate
9. [15 Points) Let C be the boundary of the triangle with vertices (1, 1), (2,...
9. [15 Points) Let C be the boundary of the triangle with vertices (1, 1), (2, 3) and (2, 1), oriented positively i.e. counterclockwise). Let F be the vector field F(1, y) = (e* + y²)i + (ry + cos y)j. Compute the line integral F. dr. 10. (15 Points) Let S be the portion of the paraboloid z = 1-rº-ythat lies on and above the plane z = 0. S is oriented by the normal directed upwards. If F...
Let f be meromorphic functionin G and g be holomorphic function.let gamma be a simple -closed curve,positively oriented and G- contractible which does not pass through zeros or poles of f.find the int...
Let f be meromorphic
functionin G and g be holomorphic function.let gamma be a simple
-closed curve,positively oriented and G- contractible which does
not pass through zeros or poles of f.find the integral of
gf’/f over gamma intermediate of the zeros of f,and function
g
4:11 AM Mon May 20 mid2-prac.pdf Done 5. (Extra credit) Let f be a meromorphic function in G and g be a holomorphic function. Let γ be a simple-closed curve, positively oriented and G-contractible which...
Multivariable Calculus Image Provided Let C be an oriented curve in R3; f = f(x,y,z) a function a...
Multivariable Calculus
Image Provided
Let C be an oriented curve in R3; f =
f(x,y,z) a function and F a vector
field. Which of the following is true?
The Answer Key (without solution) is telling me the answer
is D....
I really beg you.. could you please explain the reasons
behind why your answer(s) are true and others are false?
While exam is soon, I am really having hard time understanding the
concept--fundamentals behind it.
I will promise to sincerely...
Use Stokes' theorem to find the circulation of the vector field F around any smooth, simple closed curve C, where: (Sy 7sin() 5) Use Stokes' theorem to find the circulation of the vector...
Use Stokes' theorem to find the circulation of the vector field F around any smooth, simple closed curve C, where: (Sy 7sin() 5)
Use Stokes' theorem to find the circulation of the vector field F around any smooth, simple closed curve C, where: (Sy 7sin() 5)
calc hw- pls help!! (: -/5 POINTS MY NOTES Use Stokes' theorem to evaluate | vxř....
calc hw- pls help!! (:
-/5 POINTS MY NOTES Use Stokes' theorem to evaluate | vxř. ñ ds where F = 9y?z, 6xz, 7x?y2 and S is the paraboloid z = x2 + y2 inside the cylinder x2 + y2 = 1, oriented upward. Submit Answer -/5 POINTS MY NOTES Use Stokes' theorem to compute the circulation F. dr where F = (6xyz, 3y-z, 2yz) and C is the boundary of the portion of the plane 2x + 3y +...
5. (a) [6] Let C be a simple closed curve given by the intersection between the cylinder 2y2 1 and the surface:-10 + 0.4xy, and F = 《2xz-2y, 2y2+ 2x, x2 + y2 + z?) is a given vector field. Find the circulation F dr
5. (a) [6] Let C be a simple closed curve given by the intersection between the cylinder 2y2 1 and the surface:-10 + 0.4xy, and F = 《2xz-2y, 2y2+ 2x, x2 + y2 + z?)...
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)
Suppose is a closed curve in the plane and that -Y dr + 2? + y2 2 dy = 671 z? + y2 How many self-intersection points must have, at least? By "self-intersection point", I mean a point where the curve intersects itself other than its endpoints. For example, a simple closed curve has zero self-intersection points, and a figure 8 has one self-intersection point. Hint: If a curve has self-intersection points, then it can be divided up into a...
(7.5 points) Let C be the oriented closed space curve traced out by the parametrization r(t) = (cost, sint, sin 2t), 0<t<27 and let v be the vector field in space defined by v(x, y, z) = (et - yº, ey + r), e) (a) Show that C lies on the cylinder x2 + y2 = 1 and the surface z = 2cy. (b) This implies that C can be seen as the boundary of the surface S which is...
15. Let F(z,y)- F dr where C is any positively-oriented Jordan curve that encloses the origin Evaluate
15. Let F(z,y)- F dr where C is any positively-oriented Jordan curve that encloses the origin Evaluate
9. [15 Points) Let C be the boundary of the triangle with vertices (1, 1), (2, 3) and (2, 1), oriented positively i.e. counterclockwise). Let F be the vector field F(1, y) = (e* + y²)i + (ry + cos y)j. Compute the line integral F. dr. 10. (15 Points) Let S be the portion of the paraboloid z = 1-rº-ythat lies on and above the plane z = 0. S is oriented by the normal directed upwards. If F...
Let f be meromorphic
functionin G and g be holomorphic function.let gamma be a simple
-closed curve,positively oriented and G- contractible which does
not pass through zeros or poles of f.find the integral of
gf’/f over gamma intermediate of the zeros of f,and function
g
4:11 AM Mon May 20 mid2-prac.pdf Done 5. (Extra credit) Let f be a meromorphic function in G and g be a holomorphic function. Let γ be a simple-closed curve, positively oriented and G-contractible which...
Multivariable Calculus
Image Provided
Let C be an oriented curve in R3; f =
f(x,y,z) a function and F a vector
field. Which of the following is true?
The Answer Key (without solution) is telling me the answer
is D....
I really beg you.. could you please explain the reasons
behind why your answer(s) are true and others are false?
While exam is soon, I am really having hard time understanding the
concept--fundamentals behind it.
I will promise to sincerely...
Use Stokes' theorem to find the circulation of the vector field F around any smooth, simple closed curve C, where: (Sy 7sin() 5)
Use Stokes' theorem to find the circulation of the vector field F around any smooth, simple closed curve C, where: (Sy 7sin() 5)
calc hw- pls help!! (:
-/5 POINTS MY NOTES Use Stokes' theorem to evaluate | vxř. ñ ds where F = 9y?z, 6xz, 7x?y2 and S is the paraboloid z = x2 + y2 inside the cylinder x2 + y2 = 1, oriented upward. Submit Answer -/5 POINTS MY NOTES Use Stokes' theorem to compute the circulation F. dr where F = (6xyz, 3y-z, 2yz) and C is the boundary of the portion of the plane 2x + 3y +...
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