please answer will give rating thank you :) Let F =< 5x + 2, 2y + z, 10x + 10y > be a vector field in R3. Evaluate the following surface integral directly: XFX)DA Il vaš Š = [] E. (ru xro D S Where S is the part of the plane 5x + 2y + z = 10 in the first octant (with upward orientation).
Let Ě =< 2x + 2,3y+z, 6x + 6y > be a vector field in R3. Evaluate the following surface integral directly: xdA || i-dš= $ 8. (XFL) S Where S is the part of the plane 2x + 3y + z = 6 in the first octant (with upward orientation). SHOW ALL OF YOUR WORK!
1. Let F(x,y,z) =< 32, 5x, – 2y >. Use Stokes's Theorem to evaluate the integral Scurl F.ds, where S is the part of the paraboloid z = x² + y2 that lies below the plane z = 4 with upward- pointing normal vector.
Let S be the surface of the 'liptic paraboloid z = 4 - 22 - y2 above the plane z = 0, and with upward orientation. Let F =< yetan(z), -xcos > be a vector field in R3. 9 + Use Stoke's Theorem to compute: Sf curlĒ. ds. S
Let F(x,y,z) = <7x, 5y, 2z > be a vector field. Find the flux of F through surface S. Surface S is that portion of 3x + 5y + 72 = 9 in the first octant. Answer: Finish attempt
(1 point) Let S be the part of the plane z 4 y which lies in the first octant, oriented upward. Evaluate the flux integral of the vector field F 2i + j + 3k across the surface S (with N being the unit upward vector normal to the plane). B.I 48 C. I 72 E. 1 24 (1 point) Let S be the part of the plane z 4 y which lies in the first octant, oriented upward. Evaluate...
Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = xzey i − xzey j + z k S is the part of the plane x + y + z = 7 in the first octant and has upward orientation.
Let S be the surface of the box given by {(x, y, z) – 2 <<<0, -1<y<2, 0<z<3} with outward orientation. Let Ę =< -æln(yz), yln(yz), –22 > be a vector field in R3. Using the Divergence Theorem, compute the flux of F across S. That is, use the Divergence Theorem to compute SS F. ds S
Let S be the surface of the box given by {(x, y, z)| – 2 < x < 0, -1 <y < 2, 0 Sz<3} with outward orientation. - Let F =< – xln(yz), yln(yz), –22 > be a vector field in R3. Using the Divergence Theorem, compute the flux of F across S. That is, use the Divergence Theorem to compute SSF. ds S
use divergence theorem Let S be the surface of the box given by {(x, y, z)| – 1 < x < 2, 05y<3, -2 << < 0} with outward orientation. Let F =< xln(xy), –2y, –zln(xy) > be a vector field in R3. Using the Divergence Theorem, compute the flux of F across S. That is, use the Divergence Theorem to compute SSĒ.ds S