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Hw32-16.7-Surface-Integrals: Problem 1 Problem Value: 1 point(s). Problem Score: 67%. Attempts Remaining: 22 attempts. Help Entering...
Hw32-16.7-Surface-Integrals: Problem 1 Problem Value: 1 point(s). Problem Score: 67%. Attempts Remaining: 22 attempts. Help Entering Answers (1 point) Evaluate the surface integral 4xyz ds. Where S is the cone with parametric equations x = u cos(u), y = u sin(u), z = u and 0 <u< 4,0 4xyz ds = [” [“ aunscos()+sin(Sqrt2un2cos^2 I du du Jui Jui where 4 мммм = 3pi/2 Evaluate 4xyz ds = JJ s If you don't get this in 3 tries, you can...
Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F...
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...
M MMM M M M CUurse Aelp Hw24-15.9-Triple-Integrals-in-Spherical-Coordinates: Problem 6 Problem Value: 1 point(s). Problem Score:...
M MMM M M M CUurse Aelp Hw24-15.9-Triple-Integrals-in-Spherical-Coordinates: Problem 6 Problem Value: 1 point(s). Problem Score: 75%. Attempts Remaining: 20 attempts. Help Entering Answers (1 point) Express the the average distance from a point in a ball of radius 2 to its center as a triple integral. NOTE: When typing your answers use "rh for p. "ph" for , and "th for 0. P Average Distance E dp dd de J33- PI=0 P2=2 0 2 pi Σ 0 Σ 2pi...
MM M MM Help Entering Answers (1 point) Express the volume encloded by the torus p...
MM M MM Help Entering Answers (1 point) Express the volume encloded by the torus p = 3 sin i as a triple integral. NOTE: When typing your answers use "rh" for p, "ph" for , and "th for 0 Volume E dp dp do P JJ3 P= P2= 02 M Evaluate the integral Volume Σ If you don't get this in 3 tries, you can see a similar example (online). However, try to use this as a last resort...
first picture is all the questions that need to be answered, second is the actual numbers...
first picture is all the questions that need to be answered,
second is the actual numbers being used
17.6.25-Setup & Solve Evaluate the surface integral s Srixy.z) ds using a parametric description of the surface S f(xy.z) = 4x² + 4y?, where S is the hemisphere x² + y² +z? = 4, for z 20 Write a parametric description of the given hemisphere using u = Q and v = 0. I r(u,v) = (2 sin ucos V.2 sin usin...
Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F -yi+ z...
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) -...
z=e37.cos(4), Ir-st, y=215+t az/az= az/ay= M Dz/as= M dy/as = M Oz/dt = M Dy/at =...
z=e37.cos(4), Ir-st, y=215+t az/az= az/ay= M Dz/as= M dy/as = M Oz/dt = M Dy/at = M az/as= az/at= If you don't get this in 3 tries, you can see a similar example (online). However, try to use this as a last resort or after you have already solved the problem. There are no See Similar Examples on the Exams!
(6) Show that F(x, y) = (x+y)i + (**)is conservative. (a) Then find such that S...
(6) Show that F(x, y) = (x+y)i + (**)is conservative. (a) Then find such that S = F (potential function). (5) Use the results in part(a) to cakulae ( F. ds along C which the curve y = a* from (0,0) to (2,16). (2) Use Green's Theorem to evaluate 1. F. ds. F(1,y) =(yº+sin(26))i + (2xy2 + cos y)and C is the unit circle oriented counter clockwise (6) Evaluate the surface integral || 9. ds. F(x,y,z) = xi +++where S...
I do NOT need part a. I really need help on b,c,d,and e though! Thank you
I do NOT need part a. I really need help on b,c,d,and e though!
Thank you
2. Evaluate the line integral where C is the given curve: BE SURE THAT YOU PARAMETERIZE EACH CURVE! (a) ez dr where C is the arc of the curve z = y3 from (-1,-1) to (1,1); (b) 2,2 d_T + y2 dy where C consists of the arc of the circle x2 + y2-4 from (2,0) to (0,2) followed by the line segment from...
Find the flux integral SSs curl(Ē).d5, where F(x, y, z) = [2 cos(ny)+22 +22, 22 cos(z7/2)...
Find the flux integral SSs curl(Ē).d5, where F(x, y, z) = [2 cos(ny)+22 +22, 22 cos(z7/2) – sin(ny)e24, 222]T and S is the surface parametrized by F(s, t) = [(1 – 51/3) cos(t) – 4s, (1 – 51/3) sin(t), 5s]T with 0 <t< 27,0 < s < 1 and oriented so that the normal vectors point to the outside of the thorn.
Hw32-16.7-Surface-Integrals: Problem 1 Problem Value: 1 point(s). Problem Score: 67%. Attempts Remaining: 22 attempts. Help Entering Answers (1 point) Evaluate the surface integral 4xyz ds. Where S is the cone with parametric equations x = u cos(u), y = u sin(u), z = u and 0 <u< 4,0 4xyz ds = [” [“ aunscos()+sin(Sqrt2un2cos^2 I du du Jui Jui where 4 мммм = 3pi/2 Evaluate 4xyz ds = JJ s If you don't get this in 3 tries, you can...
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...
M MMM M M M CUurse Aelp Hw24-15.9-Triple-Integrals-in-Spherical-Coordinates: Problem 6 Problem Value: 1 point(s). Problem Score: 75%. Attempts Remaining: 20 attempts. Help Entering Answers (1 point) Express the the average distance from a point in a ball of radius 2 to its center as a triple integral. NOTE: When typing your answers use "rh for p. "ph" for , and "th for 0. P Average Distance E dp dd de J33- PI=0 P2=2 0 2 pi Σ 0 Σ 2pi...
MM M MM Help Entering Answers (1 point) Express the volume encloded by the torus p = 3 sin i as a triple integral. NOTE: When typing your answers use "rh" for p, "ph" for , and "th for 0 Volume E dp dp do P JJ3 P= P2= 02 M Evaluate the integral Volume Σ If you don't get this in 3 tries, you can see a similar example (online). However, try to use this as a last resort...
first picture is all the questions that need to be answered,
second is the actual numbers being used
17.6.25-Setup & Solve Evaluate the surface integral s Srixy.z) ds using a parametric description of the surface S f(xy.z) = 4x² + 4y?, where S is the hemisphere x² + y² +z? = 4, for z 20 Write a parametric description of the given hemisphere using u = Q and v = 0. I r(u,v) = (2 sin ucos V.2 sin usin...
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) -...
z=e37.cos(4), Ir-st, y=215+t az/az= az/ay= M Dz/as= M dy/as = M Oz/dt = M Dy/at = M az/as= az/at= If you don't get this in 3 tries, you can see a similar example (online). However, try to use this as a last resort or after you have already solved the problem. There are no See Similar Examples on the Exams!
(6) Show that F(x, y) = (x+y)i + (**)is conservative. (a) Then find such that S = F (potential function). (5) Use the results in part(a) to cakulae ( F. ds along C which the curve y = a* from (0,0) to (2,16). (2) Use Green's Theorem to evaluate 1. F. ds. F(1,y) =(yº+sin(26))i + (2xy2 + cos y)and C is the unit circle oriented counter clockwise (6) Evaluate the surface integral || 9. ds. F(x,y,z) = xi +++where S...
I do NOT need part a. I really need help on b,c,d,and e though!
Thank you
2. Evaluate the line integral where C is the given curve: BE SURE THAT YOU PARAMETERIZE EACH CURVE! (a) ez dr where C is the arc of the curve z = y3 from (-1,-1) to (1,1); (b) 2,2 d_T + y2 dy where C consists of the arc of the circle x2 + y2-4 from (2,0) to (0,2) followed by the line segment from...
Find the flux integral SSs curl(Ē).d5, where F(x, y, z) = [2 cos(ny)+22 +22, 22 cos(z7/2) – sin(ny)e24, 222]T and S is the surface parametrized by F(s, t) = [(1 – 51/3) cos(t) – 4s, (1 – 51/3) sin(t), 5s]T with 0 <t< 27,0 < s < 1 and oriented so that the normal vectors point to the outside of the thorn.
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