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Results for this submission Entered Answer Preview 58.0416 32 V3 (1 point) Find SC F -...
(1 point) Find SCF. di where C is a circle of radius 1 in the plane...
(1 point) Find SCF. di where C is a circle of radius 1 in the plane x+y+z = 2, centered at (1, 2, -1) and oriented clockwise when viewed from the origin, if F = 3yi – xj +2(y 2) k ScF.dñ =
6. Estimates from geometric definitiions: (a) Suppose divF2z. Estimate the ux of F through a sphere of radius 0.01 centered at (b) Suppose curlF-(z + 4)it (2-ทั+ (:-3)E, estimate circulation of F...
6. Estimates from geometric definitiions: (a) Suppose divF2z. Estimate the ux of F through a sphere of radius 0.01 centered at (b) Suppose curlF-(z + 4)it (2-ทั+ (:-3)E, estimate circulation of F around a circle C of radius 0.1, centered at the origin, if C is on the ry- yz-, and rz-plane respectively oriented counter-clockwise when viewed from the positive z, positive a, and positive y-axis respectively 7. Three small squares Ci,C2, Cs each with sides 0.1, centered at the...
1. About circulation, circulation density and curl: Given curl( F) = z27-2mit cos(12 + y2) (a) Fi...
1. About circulation, circulation density and curl: Given curl( F) = z27-2mit cos(12 + y2) (a) Find the circulation density circnF (P) where P= (1,1,1) around the normal i-2- k. (b) Estimate the circulation for F around C, a circle of radius 0.01 centered at P- (1,1, 1), on the z-1 plane, oriented clockwise when viewed from the origin. (c) Find the maximum circulation density for F at P- (1,1, 1).
1. About circulation, circulation density and curl: Given curl(...
Use Stokes' Theorem to make the following circulation calculations.
Suppose \(\vec{F}=(5 x-3 y) \vec{i}+(x+4 y) \vec{j}\). Use Stokes' Theorem to make the following circulation calculations.(a) Find the circulation of \(\vec{F}\) around the circle \(C\) of radius 10 centered at the origin in the xy-plane, oriented clockwise as viewed from the positive z-axis. Circulation \(=\int_{C} \vec{F} \cdot d \vec{r}=\)(b) Find the circulation of \(\vec{F}\) around the circle \(C\) of radius 10 centered at the origin in the yz-plane, oriented clockwise as viewed from the positive \(x\)-axis. Circulation \(=\int_{C} \vec{F} \cdot...
Homework 1: Problem 33 Previous Problem Problem List Next Problem Results for this submission Entered Answer...
Homework 1: Problem 33 Previous Problem Problem List Next Problem Results for this submission Entered Answer Preview Result -56.5487 -187 incorrect The answer above is NOT correct. (1 point) Compute the flux of F = 3(2 + z)i + 25 + 3zk through the surface S given by y = 22 + z2, with 0 <y<9, x > 0, 2 > 0, oriented toward the xz-plane. flux = -18pi
Results for this submission Answer Preview Result Entered incorrect incorrect incorrect 3 of the questions remain...
Results for this submission Answer Preview Result Entered incorrect incorrect incorrect 3 of the questions remain unanswered. (1 point) Find the work done by F along different paths between (1,0, 1) and (1,1,0) You might simplify your computation by writing F vector field G + H = Vg + H, so that you have a decomposition of F into a conservative vector field and a simpler non-conservative F (ez y, xze +z cos(y) - 3z, xye2 + sin(y) + 2x)...
1 Help Entering Answers 1 point) Use Stokes' Theorem to evaluateF.dr where F(x,y,z) 6yzi 3xzj +3e...
1 Help Entering Answers 1 point) Use Stokes' Theorem to evaluateF.dr where F(x,y,z) 6yzi 3xzj +3e k and C is the circy4,z 5 oriented counterclockwise as viewed from above Since the circle is oriented counterclockwise as viewed from above the surface we attach to the circle is oriented upwards The easiest surface to attach to this curve is the disk x2 + y2 < 4, z-5. Using this surface in Stokes' Theorem evaluate the following. F-dr = where sqrt(4-xA2) sqrt(4-x^2)...
Name: Answer the questions in the spaces provided on this sheet, in handwriting. Your scans must ...
Name: Answer the questions in the spaces provided on this sheet, in handwriting. Your scans must be clear, aligned, cropped properly; pages in order and saved in a single pdf file in black and white 1. About circulation, circulation density and curl: Given curl(F) -2ryj+cos(2y')k. (a) Find the circulation density circa F(P) where P (1, 1, 1) around the normal 2i- (b) Estimate the circulation for F around C, a circle of radius 0.01 centered at P (1,1,1), on the...
Results for this submission Entered Answer Preview Result CDE incorrect The answer above is NOT c...
Results for this submission Entered Answer Preview Result CDE incorrect The answer above is NOT correct. (1 point) Which of the following transformations are linear? Select all of the linear transformations. There may be more than one correct answer. Be sure you can justify your answers. A. T(f(t))(2 from P to R B. T(f(t)) f(-t)from Ps to Ps C. T(z + iy)-9z-iy from C to C 6 E. T(f(t)) f(t)dt from Ps to R F. T(f(t)) 3(f()) +5f(t) from Coo...
(1 point) Consider the vector field F(x, y, z) = (2z + 3y)i + (2z +...
(1 point) Consider the vector field F(x, y, z) = (2z + 3y)i + (2z + 3x)j + (2y + 2x)k. a) Find a function f such that F = Vf and f(0,0,0) = 0. f(x, y, z) = b) Suppose C is any curve from (0,0,0) to (1,1,1). Use part a) to compute the line integral / F. dr. (1 point) Verify that F = V and evaluate the line integral of F over the given path: F =...
(1 point) Find SCF. di where C is a circle of radius 1 in the plane x+y+z = 2, centered at (1, 2, -1) and oriented clockwise when viewed from the origin, if F = 3yi – xj +2(y 2) k ScF.dñ =
6. Estimates from geometric definitiions: (a) Suppose divF2z. Estimate the ux of F through a sphere of radius 0.01 centered at (b) Suppose curlF-(z + 4)it (2-ทั+ (:-3)E, estimate circulation of F around a circle C of radius 0.1, centered at the origin, if C is on the ry- yz-, and rz-plane respectively oriented counter-clockwise when viewed from the positive z, positive a, and positive y-axis respectively 7. Three small squares Ci,C2, Cs each with sides 0.1, centered at the...
1. About circulation, circulation density and curl: Given curl( F) = z27-2mit cos(12 + y2) (a) Find the circulation density circnF (P) where P= (1,1,1) around the normal i-2- k. (b) Estimate the circulation for F around C, a circle of radius 0.01 centered at P- (1,1, 1), on the z-1 plane, oriented clockwise when viewed from the origin. (c) Find the maximum circulation density for F at P- (1,1, 1).
1. About circulation, circulation density and curl: Given curl(...
Homework 1: Problem 33 Previous Problem Problem List Next Problem Results for this submission Entered Answer Preview Result -56.5487 -187 incorrect The answer above is NOT correct. (1 point) Compute the flux of F = 3(2 + z)i + 25 + 3zk through the surface S given by y = 22 + z2, with 0 <y<9, x > 0, 2 > 0, oriented toward the xz-plane. flux = -18pi
Results for this submission Answer Preview Result Entered incorrect incorrect incorrect 3 of the questions remain unanswered. (1 point) Find the work done by F along different paths between (1,0, 1) and (1,1,0) You might simplify your computation by writing F vector field G + H = Vg + H, so that you have a decomposition of F into a conservative vector field and a simpler non-conservative F (ez y, xze +z cos(y) - 3z, xye2 + sin(y) + 2x)...
1 Help Entering Answers 1 point) Use Stokes' Theorem to evaluateF.dr where F(x,y,z) 6yzi 3xzj +3e k and C is the circy4,z 5 oriented counterclockwise as viewed from above Since the circle is oriented counterclockwise as viewed from above the surface we attach to the circle is oriented upwards The easiest surface to attach to this curve is the disk x2 + y2 < 4, z-5. Using this surface in Stokes' Theorem evaluate the following. F-dr = where sqrt(4-xA2) sqrt(4-x^2)...
Name: Answer the questions in the spaces provided on this sheet, in handwriting. Your scans must be clear, aligned, cropped properly; pages in order and saved in a single pdf file in black and white 1. About circulation, circulation density and curl: Given curl(F) -2ryj+cos(2y')k. (a) Find the circulation density circa F(P) where P (1, 1, 1) around the normal 2i- (b) Estimate the circulation for F around C, a circle of radius 0.01 centered at P (1,1,1), on the...
Results for this submission Entered Answer Preview Result CDE incorrect The answer above is NOT correct. (1 point) Which of the following transformations are linear? Select all of the linear transformations. There may be more than one correct answer. Be sure you can justify your answers. A. T(f(t))(2 from P to R B. T(f(t)) f(-t)from Ps to Ps C. T(z + iy)-9z-iy from C to C 6 E. T(f(t)) f(t)dt from Ps to R F. T(f(t)) 3(f()) +5f(t) from Coo...
(1 point) Consider the vector field F(x, y, z) = (2z + 3y)i + (2z + 3x)j + (2y + 2x)k. a) Find a function f such that F = Vf and f(0,0,0) = 0. f(x, y, z) = b) Suppose C is any curve from (0,0,0) to (1,1,1). Use part a) to compute the line integral / F. dr. (1 point) Verify that F = V and evaluate the line integral of F over the given path: F =...
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