PLEASE SHOW AND EXPLAIN ALL STEPS - MUCH APPRECIATED. :)
PLEASE SHOW AND EXPLAIN ALL STEPS - MUCH APPRECIATED. :) (25 pts) Let F(x, y, z)...
2. [25 pts) Let F(x, y, z) = x+i+ xyj + xzk be a vector field in space. Let S be the open surface z= 25 – x2 - y2, which is the upper hemisphere (or dome) of radius 5. Calculate the flux integral F.NDS
2. [25 pts] Let F(x, y, z) = x?i + xyj + xzk be a vector field in space. Let S be the open surface z = 25 – x2 - y2, which is the upper hemisphere (or dome) of radius 5. Calculate the flux integral ŞI F.NdS S
[25 pts) Let F(x, y, z) = x?i + xyj + zzk be a vector field in space. Let S be the open surface 2 = 25 -x2 - y2, which is the upper hemisphere (or dome) of radius 5. Calculate the flux integral ] F.N ds S
good evening. i need help with this calculus question. i will thumbs up your answer. [25 pts Let Fr, y, z) = r’i+ryj+rzk be a vector field in space. Let S be the open surface 2= 25 – 22 – y, which is the upper hemisphere (or dome) of radius 5. Calculate the flux integral SJ // vna
PLEASE SHOW ALL WORK NEATLY! THANK YOU! (10 pts) Let F(x, y, z) = (x + y, y - 1, e), and let S be the part of the surface z = 9. 22 - y2 above the plane z=5, with downward orientation. Evaluate the flux of F across S by computing the surface integral IsF. ds.
PLEASE SHOW AND EXPLAIN ALL STEPS FOR ALL 3 PARTS......I'M LOST......THANKS SO MUCH!! r 1 Given the vector field in space F(x, y, z) = xi + yj + zk or more conveniently, (x2 + y2 + 22)3/2 F(r) =3 = f where r = xi + yj + zk and r = = 1|r1| Vr2 + y2 + x2 (instead of p) (a) (10 pts) Find the divergence of F, that is, V.F. =V (b) (10 pts) Directly evaluate...
Consider the vector field F(x, y, z) -(z,2x, 3y) and the surface z- /9 - x2 -y2 (an upper hemisphere of radius 3). (a) Compute the flux of the curl of F across the surface (with upward pointing unit normal vector N). That is, compute actually do the surface integral here. V x F dS. Note: I want you to b) Use Stokes' theorem to compute the integral from part (a) as a circulation integral (c) Use Green's theorem (ie...
Please explain all steps. Thanks! 1. (25 pts) Let F(x, y, z) = (2xy + 25)i + (4.r?y3 + 2yz?)j + (5.624 + 3y222)k and let C be the curve given parametrically by r(t) = (3t+1)i + tºj + 5tk for 0 <t<1. Evaluate the line integral (Fd
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
(23 pts) Let F(x, y, z) = ?x + y, x + y, x2 + y2?, S be the top hemisphere of the unit sphere oriented upward, and C the unit circle in the xy-plane with positive orientation. (a) Compute div(F) and curl(F). (b) Is F conservative? Briefly explain. (c) Use Stokes’ Theorem to compute ? F · dr by converting it to a surface integral. (The integral is easy if C you set it up correctly) 4. (23 pts)...