Cal 3 questions. Please Help!! I will rate! 2. (4 points) Verify Stokes Theorem for F...
Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F = 3yd-2ǐ + 2xk and the surface S the part of the paraboloid z = 20-x2-y2 that lies above the plane z = 4, oriented upwards. To verify Stokes' Theorem we will compute the expression on each side. First computel curl F dS curl F- curl F. dS- EEdy di where curl F dS- Now compute F dr The boundary curve C of the...
Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F = 2yzi + 3yj + xk and the surface S the part of the paraboloid Z-5-x2-y2 that lies above the plane z 1, oriented upwards. / curl F diS To verify Stokes' Theorem we will compute the expression on each side. First compute curl F <0.3+2%-22> curl F - ds - where y1 curl F ds- Now compute /F dr The boundary curve C...
Help Entering Answers 1 point) Verify that Stokes' Theorem is true for the vector field F that lies above the plane z1, oriented upwards. 2yzi 3yj +xk and the surface S the part of the paraboloid z 5-x2-y To verify Stokes' Theorem we will compute the expression on each side. First computecurl F dS curl F0,3+2y,-2 Edy dx curl F dS- where x2 = curl F ds- Now compute F.dr The boundary curve C of the surface S can be...
Verify that Stokes' Theorem is true for the vector field Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F -yi+ zj + xkand the surface S the hemisphere x2 + y2 + z2-25, y > 0oriented in the direction of the positive y- axis To verify Stokes' Theorem we will compute the expression on each side. First compute curl F dS curl F The surface S can be parametrized by S(s, t) -...
Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F = yzi - yj + xk and the surface S the part of the paraboloid z= 4 a2 ythat lies above the plane z = 3, oriented upwards. curl FdS To verify Stokes' Theorem we will compute the expression on each side. First compute S curl F = Σ <0,y-1,-z> curl F.dS Σ dy dπ (y-1)-2y)+z where 3 -sqrt(9-x^2) Σ 3 sqrt(9-x^2) curl F...
Verify Stokes' Theorem for the given vector field and surface, oriented with a downward-pointing normal. F = 〈ey-z, 0, 0), the square with vertices (6, 0, 6), (6, 6, 6), (0, 6, 6), and (O, O, 6) F·dS = aS curl(F) = curl(F) . dS = Verify Stokes' Theorem for the given vector field and surface, oriented with a downward-pointing normal. F = 〈ey-z, 0, 0), the square with vertices (6, 0, 6), (6, 6, 6), (0, 6, 6), and...
please answer the following questions. if you can't answer all the questions, please answer one question per exercise. thank you. Section 13.8 Exercise3 Use Stokes' theorem to compute Ts curl F. dS, a) where F(r,y.z) (ry,,y+ 2) and S is the part of the elliptic paraboloid-(r2+ 4y2)+3 above the plane :- 2, oriented upwards. b) where F(z, y, z)-|y,-z-vy and s is the part of the part of the upper henni phere r2 +r + 5,#2 o inside of the...
17.2 Stokes Theorem: Problem 2 Previous Problem Problem List Next Problem (1 point) Verify Stokes' Theorem for the given vector field and surface, oriented with an upward-pointing normal: F (ell,0,0), the square with vertices (8,0, 4), (8,8,4),(0,8,4), and (0,0,4). ScFids 8(e^(4) -en-4) SIs curl(F). ds 8(e^(4) -e^-4) 17.2 Stokes Theorem: Problem 1 Previous Problem Problem List Next Problem (1 point) Let F =< 2xy, x, y+z > Compute the flux of curl(F) through the surface z = 61 upward-pointing normal....
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...
help with #2 (2) Verify Stokes' theorem for where s is the portion of the surface of the cone z = VF+7 : 0 2, with normal n pointing z upward" (2) Verify Stokes' theorem for where s is the portion of the surface of the cone z = VF+7 : 0 2, with normal n pointing z upward"