Could you explain how to find the answer to this question?
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...
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!
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...
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) -...
(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...
1. (2 points) Find F dF if curl(F) 3 in the region defined by the 4 curves and C4 Ci F . d7 where F(x,y,z)-Wi +pz? + Vi> and C consists of the arc of the 2. (2 points) Evaluate curve y = sin(x) from (0,0) to (π, 0) and the line segment from (π,0) to (0,0). 4 3 3. (2 points) Evaluate F di where F.y,(ry, 2:,3) and C is the curve of intersection of 5 and y29. going...
can you please give me a detailed explained answer.
I'm struggling with this topic.
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(b) Consider a conical surface S described by r(u, u) = u cos uz + u sin uit (1-u) k with an (i) Sketch the surface in the coordinate system defined by the axes i, j, k and the origin. (ii) Find OuT x o,r (ii) Evaluate the fluxJs F ds where the vector field F ri +...