I lost in this I need help please thank you 13) [6;10] Given F(x, y, z)=(-2yz,...

Question

Question

I lost in this I need help please thank you

13) [6;10] Given F(x, y, z)=(-2yz, y, 3x), and C is the curve of intersection of z = 3x² +3y2 and z=3. Sketch a representativ

Answer 1

Answer #1

F = <-292, y Bay Let wet) = // 2 w3 Cost, 3 sint, 37 Foodo dr F (oct)) r(t) dt 27 с 2T (-253 Sint is, de sint, 33 Cost) : (-3

Answer 2

Similar Homework Help Questions

I lost in this I need help please thank you 6) [8] с Use Green's Theorem...

I lost in this I need help please thank you 6) [8] с Use Green's Theorem to rewrite the integral [F.dr for the given vector field over the path C. F(x,y)=(x? In y, log; y+x’ tan-' x) and C is the boundary of the region D, bounded by the parabola x = y² and the line y=x-2. Assume positive orientation. SET UP the integral using Green's Theorem and include all bounds and variables of integration but DO NOT evaluate the...
QB(27pts)(a). Evaluate the circulation ofF(xy)-<x,y+x> on the curve r(t)=<2cost, 2sinp, foross2n (b) Evaluate J F.dr, where C is a piecewise smooth path from (1,0) to (2,1) and F- (e&#39...

QB(27pts)(a). Evaluate the circulation ofF(xy)-<x,y+x> on the curve r(t)=<2cost, 2sinp, foross2n (b) Evaluate J F.dr, where C is a piecewise smooth path from (1,0) to (2,1) and F- (e'cos x)i +(e'sinx)j [Hint: Test F for conservative (c). Use green theorem to express the line integral as a double integral and then evaluate. where C is the circle x+y-4 with counterclockwise orientation. (d(Bonus10 pts) Consider the vector field Foxyz) a. Find curl F y, ,z> F.dr where C is the curve...
Use Stokes' Theorem to evaluate the line integral $cF. dr, where F(x, y, z) = (-y+z)i...

Use Stokes' Theorem to evaluate the line integral $cF. dr, where F(x, y, z) = (-y+z)i + (x – z)j + (x – y)k. S is the surface z = V1 – 22 – y2, and C is the boundary of S with counterclockwise orientation (from above).

Use Stokes' Theorem to evaluate the line integral $cF.dr, where F(x, y, z) = xyzi +...

Use Stokes' Theorem to evaluate the line integral $cF.dr, where F(x, y, z) = xyzi + yj + zk, Sis the surface 3x + 4y + 2z = 12 in the first octant, and is the boundary of S with counterclockwise orientation (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)...
Use Stokes' Theorem to evaluate the line integral $cF. dr, where F(x, y, z) = xyzi+yj...

Use Stokes' Theorem to evaluate the line integral $cF. dr, where F(x, y, z) = xyzi+yj + zk. S is the surface 3x + 4y + 2z = 12 in the first octant, and is the boundary of S with counterclockwise orientation (from above).

Help Entering Answers 1 point) Verify that Stokes' Theorem is true for the vector field F that li...

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...
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.)
15. (1 point) Let C be the intersection curve of the surfaces z = 3x +...

15. (1 point) Let C be the intersection curve of the surfaces z = 3x + 5 and x2 + 2y2-1, oriented clockwise as seen from the origin. Let F(x, y, 2) (2z - 1)i +2xj+(-1)k. Compute F.dr (a) directly as a line integral AND (b) as a double integral by using Stokes' Theorem

I lost in this I need help please thank you 3)[4] Given f (x,y)= x’y–3x and...

I lost in this I need help please thank you 3)[4] Given f (x,y)= x’y–3x and C is the curve given by y = xº from x =1 to x = 3, then (enter a number). Do not actually do any integration. [vf.dr = с What theorem did you use?