is the Use Stokes' theorem to evaluate ſc(1+y)z dx + (1+z)x dy+(1 + x)y dz, where...
Use Stokes' Theorem to evaluate fe(x+y)dx + (2x – 3)dy +(y +z)dz over the boundary of the triangle with vertices (2,0,0), (0,3,0), (0,0,6) traversed in the counter clockwise direction.
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
6. (1 point) Use Stokes' Theorem to find the line integral /2y dx + dy + (4-3x) dz, where C is the boundary of the triangle with vertices (0,0,0), (1,3,-2), and -2,4,5), oriented counterclockwise as viewed from the point (1, 0, 0) 6. (1 point) Use Stokes' Theorem to find the line integral /2y dx + dy + (4-3x) dz, where C is the boundary of the triangle with vertices (0,0,0), (1,3,-2), and -2,4,5), oriented counterclockwise as viewed from the...
Let Ě = < 2x + y², 8y + z2, 6z + x2 >. Use Stokes' Theorem to evaluate so F. dri where C is the triangle with vertices (1,0,0), (0,1,0), and (0,0,1), 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)...
(1 point) Use Stokes' Theorem to evaluate / (2xyi + zj+ 3yk) dr where C is the intersection of the plane x z 8 and the cylinder x2 y9oriented counterclockwise as viewed from above. Since the ellipse is oriented counterclockwise as viewed from above the surface we attach is oriented upwards curl(2xyi+zj +3yk)- 2,0,-2x The easiest surface to attach to this curve is the interior of the cylinder that lies on the plane x + z-8. Using this surface in...
Use Stokes' Theorem to evaluate sta curl F. ds. F(x, y, z) = xyzi + xyj + x2yzk, S consists of the top and four sides (but not the bottom of the cube with vertices (+3, +3, +3), oriented outward. Need Help? Read It Watch It Talk to a Tutor Submit Answer 33. [-/2.5 Points] DETAILS SCALC8 16.8.018. MY NOTES ASK YOUR Evaluate le (y + 5 sin(x)) dx + (z2 + 3 cos(y)) dy + x3 dz where C...
1. Use Green's theorem to evaluate the integral $ xy dx - x^2 y^3 dy, where C is the triangle with vertices (0,0), (1,0) y (1,2)
Use Stokes' Theorem to evaluate les F. dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = (x + y2)i + (y + z2)j + (z + x2)k, C is the triangle with vertices (3, 0, 0), (0, 3,0), and (0, 0, 3). Need Help? Read it Watch It Master It Talk to a Tutor
...HELPPPP....Use Green’s theorem to evaluate Z C (−y + √3 x 2 )dx + (x 3 − ln (y 2 ))dy where C is the rectangle with vertices (0, 0), (1, 0), (0, 2), and (1, 2). 4. Use Green's theorem to evaluate vertices (0,0), (1,0), (0, 2), and (1,2). Sc(-y + V 22)dx + (z? – In (y?))dy where C is the rectangle with