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...

Question

Question

15. Let F(z,y)- F dr where C is any positively-oriented Jordan curve that encloses the origin Evaluate

Answer 1

Answer #1

Consider the vector field F(x,y) Find the partial derivative of N with respect to x as, ax CX x +y) xty +2 v Find the partia

Answer 2

Similar Homework Help Questions

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)
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...

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...
Problem (4) Let f(z) denote the function e a f(z) 1 - z Compute f (z) dz where y is any contour that encloses the origi...

Problem (4) Let f(z) denote the function e a f(z) 1 - z Compute f (z) dz where y is any contour that encloses the origin but does not enclose the point z =1 Problem (4) Let f(z) denote the function e a f(z) 1 - z Compute f (z) dz where y is any contour that encloses the origin but does not enclose the point z =1

Let F = ( – 4y, 1x2, 322). Evaluate so . dr Where C is the...

Let F = ( – 4y, 1x2, 322). Evaluate so . dr Where C is the intersection of the plane 9x + 4y +z = 2 and the cylinder a2 + y2 = 9, positively oriented as seen from above. Assume the conditions of Stoke's Theorm have been met. answer = 7
(a) Use Stokes' Theorem to evaluate F. dr where F(x, y, z) - x2yi +1x3j+xyk and C is the curve of...

(a) Use Stokes' Theorem to evaluate F. dr where F(x, y, z) - x2yi +1x3j+xyk and C is the curve of intersection of the hyperbolic paraboloid z - y2 - x2 and the cylinder x2 + y2 - 1 oriented counterclockwise as 3 viewed from above (b) Graph both the hyperbolic paraboloid and the cylinder with domains chosen so that you can see the curve C and the surface 1.0 1.0 0.5 у0,5 0.0 0,0 1.0 1.0 0.5 0.5 0.0...
Let F(-2y, 4.x2, 1422). Evaluate F. dr Where C is the intersection of the plane 2x...

Let F(-2y, 4.x2, 1422). Evaluate F. dr Where C is the intersection of the plane 2x + 1ly + z = 5 and the cylinder x2 + y2 conditions of Stoke's Theorm have been met. = 9, positively oriented as seen from above. Assume the answer = 7T

Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as...

Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = yzi + 3xzj + exyk, C is the circle x2 + y2 = 16, z = 8.
Use Stoke's Theorem to evaluate ScF. dr, where F(x, y, z) = -xzzi + y2zj +...

Use Stoke's Theorem to evaluate ScF. dr, where F(x, y, z) = -xzzi + y2zj + zºk and C is the curve of intersection of the planez = 1 – X – Y and the cylinder x2 + y2 = 1, oriented counterclockwise as viewed from above.
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...

(20 points) Let and let C' be any simple closed curve in a plane oriented counterclockwise. Pleas...

(20 points) Let and let C' be any simple closed curve in a plane oriented counterclockwise. Please show that the only two possible values for F. dr is 0 or-2π. (Hint) The domain of the vector field does not include the origin. Hence, the origin is seen as a hole. Consider 1) Curve C does not encompass the origin. 2) Curve C does encompass the origin. In this case, use an auxiliary curve that encompasses the origin and is encompassed...