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Please solve this as detail as possible
Surface integral and line integral must be used
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Verify Stokes's Theorem by evaluating F-T ds = For as a line integral and as a...
Verify Stokes's Theorem by evaluating F-T ds = For as a line integral and as a double integral F(x, y, z) - (-y+z)i + (x - 2)j + (x - y)k S: Z - 16 - x2 - y220 line integral double Integral I Need Help? Read it Watch Talk to a Tutor
Verify that the line integral and the surface integral of Stokes Theorem are equal far the following vector field, surface S, and closed curve C. Assume that C has counterlockwise orientation and S h...
Verify that the line integral and the surface integral of Stokes Theorem are equal far the following vector field, surface S, and closed curve C. Assume that C has counterlockwise orientation and S has a consistentorientation F = 〈y,-x, 11), s is the upper half of the sphere x2 + y2 +22-1 and C is the circle x2 + y2-1 in the xy-plane Construct the line integral of Stokes' Theorem using the parameterization r(t)= 〈cost, sint, O. for 0 sts2r...
Verify Stokes' Theorem by evaluating the line integral and the double surface integral. Assume that the...
Verify Stokes' Theorem by evaluating the line integral and the double surface integral. Assume that the surface has an upward orientation. (a) F(x, y, z)= x’i + y²j+z?k; o is the portion of the cone below the plane z=l. (b) 7 (x, y, z)=(z - y){ +(z+x) ș- (x + y)k; o is the portion of the paraboloid z=9-r? - y2 above the xy-plane. [0, 187]
solve problem 6 it is not a double integral, it is 1 integral In Convert to...
solve problem 6
it is not a double integral, it is 1 integral
In Convert to cylindrical coordinates ſyddy Set up the integral) 1b. Convert to spherical coordinates JJ Jy daddy (Set up the integral) 2. Une cylindrical coordinates to determine the volume of the solid in the 1" octant enclosed by the coordinate planes, the cylinder + 16 and the plane (Set up - do not solve) 3. Use spherical coordinates to determine the volume of the solid that...
F-dr = 47 for a vector function F = (2x -y)i A line integral is evaluated as yzz -y?zk acting on the curved surface...
F-dr = 47 for a vector function F = (2x -y)i A line integral is evaluated as yzz -y?zk acting on the curved surface S, where S is the upper half of the sphere x2+y2+ 22 = 22 and c is its boundary with counter-clockwise direction viewed from the top, as shown in Figure 3.2 below. Use Stokes' theorem by evaluating the double integral to verify the given value of line integral. Satu kamiran garis dinilai sebagaiF.dr = 4r untuk...
Q5and 6 please. as much detail as possible please i need to learn how go solve these
q5and 6 please. as much detail as possible please i need to
learn how go solve these
(3) Evaluate the double integral where D is the region in the lower half-plane lying between the circles 2+y2-1 and (4) Evaluate the iterated integral sinda dy. (5) In the ry-plane, let D be the region bounded by the graphs of z ty 3, 0, and 0. Find f(x,y) such that z f(x,y) defines a plane in R3 and y (6) Consider the...
Verify the Divergence Theorem by evaluating I SF F. Nds as a surface Integral and as...
Verify the Divergence Theorem by evaluating I SF F. Nds as a surface Integral and as a triple Integral. F(x, y, z) = 2xi – 2yj + z2k S: cube bounded by the planes x = 0, x = a, y = 0, y = a, 2 = 0, z = a
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...
Evaluate the line integral - dr by evaluating the surface integral in Stokes Theorem with an...
Evaluate the line integral - dr by evaluating the surface integral in Stokes Theorem with an appropriate choice of metal Close counterdeckwite orientation when viewed from above С F-6²-82-x².7² -2²) C is the boundary of the square Ix 13. lys 13 in the plane 2 #0 Rewrite the given in integral as a | as a surface integral fro-SSO ds C 5 Evaluate the integral $r..-Type an exact answer
I'll ask again, Please DON'T use the divergence theroem, I cant do the surface integral. (7) Let V be the re...
I'll ask again, Please DON'T use the divergence
theroem, I cant do the surface integral.
(7) Let V be the region in R3 enclosed by the surfaces ++22,0 and1. Let S denote the closed surface of V and let n denote the outward unit normal. Calculate the flux of the vector field Fx, y, z)(2 - 2)j 22k out of V and verify Gauss' Divergence Theorem holds for this case. That is, calculate the flux directly as a surface integral...
Verify Stokes's Theorem by evaluating F-T ds = For as a line integral and as a double integral F(x, y, z) - (-y+z)i + (x - 2)j + (x - y)k S: Z - 16 - x2 - y220 line integral double Integral I Need Help? Read it Watch Talk to a Tutor
Verify that the line integral and the surface integral of Stokes Theorem are equal far the following vector field, surface S, and closed curve C. Assume that C has counterlockwise orientation and S has a consistentorientation F = 〈y,-x, 11), s is the upper half of the sphere x2 + y2 +22-1 and C is the circle x2 + y2-1 in the xy-plane Construct the line integral of Stokes' Theorem using the parameterization r(t)= 〈cost, sint, O. for 0 sts2r...
Verify Stokes' Theorem by evaluating the line integral and the double surface integral. Assume that the surface has an upward orientation. (a) F(x, y, z)= x’i + y²j+z?k; o is the portion of the cone below the plane z=l. (b) 7 (x, y, z)=(z - y){ +(z+x) ș- (x + y)k; o is the portion of the paraboloid z=9-r? - y2 above the xy-plane. [0, 187]
solve problem 6
it is not a double integral, it is 1 integral
In Convert to cylindrical coordinates ſyddy Set up the integral) 1b. Convert to spherical coordinates JJ Jy daddy (Set up the integral) 2. Une cylindrical coordinates to determine the volume of the solid in the 1" octant enclosed by the coordinate planes, the cylinder + 16 and the plane (Set up - do not solve) 3. Use spherical coordinates to determine the volume of the solid that...
F-dr = 47 for a vector function F = (2x -y)i A line integral is evaluated as yzz -y?zk acting on the curved surface S, where S is the upper half of the sphere x2+y2+ 22 = 22 and c is its boundary with counter-clockwise direction viewed from the top, as shown in Figure 3.2 below. Use Stokes' theorem by evaluating the double integral to verify the given value of line integral. Satu kamiran garis dinilai sebagaiF.dr = 4r untuk...
q5and 6 please. as much detail as possible please i need to
learn how go solve these
(3) Evaluate the double integral where D is the region in the lower half-plane lying between the circles 2+y2-1 and (4) Evaluate the iterated integral sinda dy. (5) In the ry-plane, let D be the region bounded by the graphs of z ty 3, 0, and 0. Find f(x,y) such that z f(x,y) defines a plane in R3 and y (6) Consider the...
Verify the Divergence Theorem by evaluating I SF F. Nds as a surface Integral and as a triple Integral. F(x, y, z) = 2xi – 2yj + z2k S: cube bounded by the planes x = 0, x = a, y = 0, y = a, 2 = 0, z = a
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...
Evaluate the line integral - dr by evaluating the surface integral in Stokes Theorem with an appropriate choice of metal Close counterdeckwite orientation when viewed from above С F-6²-82-x².7² -2²) C is the boundary of the square Ix 13. lys 13 in the plane 2 #0 Rewrite the given in integral as a | as a surface integral fro-SSO ds C 5 Evaluate the integral $r..-Type an exact answer
I'll ask again, Please DON'T use the divergence
theroem, I cant do the surface integral.
(7) Let V be the region in R3 enclosed by the surfaces ++22,0 and1. Let S denote the closed surface of V and let n denote the outward unit normal. Calculate the flux of the vector field Fx, y, z)(2 - 2)j 22k out of V and verify Gauss' Divergence Theorem holds for this case. That is, calculate the flux directly as a surface integral...
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