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![Now in polar coordinates c. Note the asis] yaraso, Zar sino, *=-3? 2 ss Ear (oxf). I ndodo LESS (2-4) v drdo O Y 1 = -7(9) (](http://img.homeworklib.com/questions/1a232980-240a-11eb-a547-fd7025238d21.png?x-oss-process=image/resize,w_560)
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4. Use Stokes' Theorem to evaluate Fodr where F =x' i -4:+ xy k and Cis...
4. Use Stokes' Theorem to evaluate F dr. F(x,y,z)-(3z,4x, 2y); C is the circle x2 +...
4. Use Stokes' Theorem to evaluate F dr. F(x,y,z)-(3z,4x, 2y); C is the circle x2 + y2 4 in the xy-plane with a counterclockwise orientation looking down the positive z-axis. az az F dr-JI, (curl F) n ds and VGy, 1) Hint: use ax' dy
Use Stokes' Theorem to evaluate F. dr where Cis oriented counterclockwise as viewed from above. F(x,...
Use Stokes' Theorem to evaluate F. dr where Cis oriented counterclockwise as viewed from above. F(x, y, z) - xy + 27 + 6yk, C is the curve of intersection of the plane X + 2-1 and the cylinder + 9.
8. (10 points) Use Stokes' Theorem to evaluate where (..) - (awy, 3) and C is...
8. (10 points) Use Stokes' Theorem to evaluate where (..) - (awy, 3) and C is the triangle with vertices (1,0,0), (0,1,0), and (0,0,1). You may orient either clockwise or counterclockwise (when looking down the positive z-axis), but you must indicate which orientation you used
Use Stokes Theorem to evaluate ØFodi for a vector field, с 3 7=(3+ E = (x+4z,...
Use Stokes Theorem to evaluate ØFodi for a vector field, с 3 7=(3+ E = (x+4z, -xy, y² where is the intersection of the cylinder 3 x2 + y2 = 4 and plane y + z = 3 oriented counter clockwise as shown in Figure 1. y+z=3 Figure 1
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...
. Problem #8: Use Stokes' Theorem to evaluate | F• dr where F = (x +...
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Problem #8: Use Stokes' Theorem to evaluate | F• dr where F = (x + 52)i + (6x + y)j + (7y - -)k and C is the curve of intersection of the plane x + 3y += = 12 with the coordinate planes. (Assume that C is oriented counterclockwise as viewed from above.) Problem #8: Just Save Submit Problem #8 for Grading Attempt #1 Attempt #2 Attempt #3 Attempt #4 Attempt #5 Problem #8 Your Answer: Your Mark:...
10. Stokes' Theorem and Surfac e Integrals of Vector Fields a. Stokes' Theorem: F-dr= b. Let S be th ky-plane. Draw a sketch of curve C in the xy-plane. et be the surface of the paraboloi...
10. Stokes' Theorem and Surfac e Integrals of Vector Fields a. Stokes' Theorem: F-dr= b. Let S be th ky-plane. Draw a sketch of curve C in the xy-plane. et be the surface of the paraboloid z 4-x-y and Cis the trace of S in the c Let Fox.y.z) <2z, x, y>, Compute the curl (F) d. Find a parametrization of the surface S: G(u,v)- Compute N(u,v) F-dr Use Stokes' Theorem to compute , e.
10. Stokes' Theorem and Surfac...
Problem #8: Use Stokes' Theorem to evaluate F. dr where F = (x + 5z) i...
Problem #8: Use Stokes' Theorem to evaluate F. dr where F = (x + 5z) i + (6x + y)j + (9y – =) k and C is the curve of JC intersection of the plane x + 2y += = 8 with the coordinate planes. (Assume that C is oriented counterclockwise as viewed from above.) Problem #8:
Use Stokes' Theorem to evaluate fF.dr where F = (x +92) i + (1x + y)j...
Use Stokes' Theorem to evaluate fF.dr where F = (x +92) i + (1x + y)j + (2y = z)k and C is the curve of intersection of the plane x + 3y +z = 12 with the coordinate planes. (Assume that C is oriented counterclockwise as viewed from above.)
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)...
4. Use Stokes' Theorem to evaluate F dr. F(x,y,z)-(3z,4x, 2y); C is the circle x2 + y2 4 in the xy-plane with a counterclockwise orientation looking down the positive z-axis. az az F dr-JI, (curl F) n ds and VGy, 1) Hint: use ax' dy
Use Stokes' Theorem to evaluate F. dr where Cis oriented counterclockwise as viewed from above. F(x, y, z) - xy + 27 + 6yk, C is the curve of intersection of the plane X + 2-1 and the cylinder + 9.
8. (10 points) Use Stokes' Theorem to evaluate where (..) - (awy, 3) and C is the triangle with vertices (1,0,0), (0,1,0), and (0,0,1). You may orient either clockwise or counterclockwise (when looking down the positive z-axis), but you must indicate which orientation you used
Use Stokes Theorem to evaluate ØFodi for a vector field, с 3 7=(3+ E = (x+4z, -xy, y² where is the intersection of the cylinder 3 x2 + y2 = 4 and plane y + z = 3 oriented counter clockwise as shown in Figure 1. y+z=3 Figure 1
.
Problem #8: Use Stokes' Theorem to evaluate | F• dr where F = (x + 52)i + (6x + y)j + (7y - -)k and C is the curve of intersection of the plane x + 3y += = 12 with the coordinate planes. (Assume that C is oriented counterclockwise as viewed from above.) Problem #8: Just Save Submit Problem #8 for Grading Attempt #1 Attempt #2 Attempt #3 Attempt #4 Attempt #5 Problem #8 Your Answer: Your Mark:...
10. Stokes' Theorem and Surfac e Integrals of Vector Fields a. Stokes' Theorem: F-dr= b. Let S be th ky-plane. Draw a sketch of curve C in the xy-plane. et be the surface of the paraboloid z 4-x-y and Cis the trace of S in the c Let Fox.y.z) <2z, x, y>, Compute the curl (F) d. Find a parametrization of the surface S: G(u,v)- Compute N(u,v) F-dr Use Stokes' Theorem to compute , e.
10. Stokes' Theorem and Surfac...
Problem #8: Use Stokes' Theorem to evaluate F. dr where F = (x + 5z) i + (6x + y)j + (9y – =) k and C is the curve of JC intersection of the plane x + 2y += = 8 with the coordinate planes. (Assume that C is oriented counterclockwise as viewed from above.) Problem #8:
Use Stokes' Theorem to evaluate fF.dr where F = (x +92) i + (1x + y)j + (2y = z)k and C is the curve of intersection of the plane x + 3y +z = 12 with the coordinate planes. (Assume that C is oriented counterclockwise as viewed from above.)
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)...
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