Find the upward flux of F=−yi+xj+12kF=−yi+xj+12k across the part of the spherical surface GG dete...

Question

Question

Find the upward flux of F=−yi+xj+12kF=−yi+xj+12k across the part of the spherical surface GG determined by

z=f(x,y)=12−x2−y2‾‾‾‾‾‾‾‾‾‾‾‾√,0≤x2+y2≤5 Find the upward flux of F =-yi + xj + 12k across the part of the spherical surface G determined by 30 pi

math calculus

Answer 1

Answer #1

Answer 2

Similar Homework Help Questions

13. Evaluate Is F.dš that is, find the flux of the field across the surface. F(x,y,z)=-4z...

13. Evaluate Is F.dš that is, find the flux of the field across the surface. F(x,y,z)=-4z ī + y) – 3x K , S is the hemisphere z = 14 – x2 - y2; ñ points upward.
Evaluate the surface integral F.ds for the given vector field F and the oriented surface S....

Evaluate the surface integral 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) = yi - xj + Szk, S is the hemisphere x2 + y2 + z2 = 4, z 20, oriented downward -8751 x
please just the final answer for both Evaluate the surface Integral || 5. ds for the...

please just the final answer for both Evaluate the surface Integral || 5. ds for the given vector fleld 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) = yi - xj + Szk, S is the hemisphere x2 + y2 + y2 = 4, 220, oriented downward 26.677 X Evaluate the surface integral llo F.ds for the given vector field F...

(a) Find the flux of the vector field F=yi-xjtk across the surface σ which is 4. x2 +y2 and below z the portion of z 4 and is oriented by the outward normal. _t7г (b) Use Stokes' Theorem to ev...

(a) Find the flux of the vector field F=yi-xjtk across the surface σ which is 4. x2 +y2 and below z the portion of z 4 and is oriented by the outward normal. _t7г (b) Use Stokes' Theorem to evaluate the line integral of J F.dr of F--уз ì_x3 j+(x+z)k where C is the clockwise path along the triangle with vertices (0,0,0). (1.0,0)and (1.i.o) aong the thiangle with(i) t) (a) Find the flux of the vector field F=yi-xjtk across the...
Find the upward flux of F vector=<x,y,z> across: a. x^2+y^2+z^2=1, z0 and b. z=1-x^2-y^2, z0. Please...

Find the upward flux of F vector=<x,y,z> across: a. x^2+y^2+z^2=1, z0 and b. z=1-x^2-y^2, z0. Please be detail thanks. We were unable to transcribe this imageWe were unable to transcribe this imageZ S FIND THE UPWARD FLUX OF SX,Y,Z) ACROSS: a. pol + y2 + z = 1, z>0 AND b. ž= 1-x2-, z>O
Find the flux of the field F(x,y,z)=z² i +xj - 3z k outward through the surface...

Find the flux of the field F(x,y,z)=z² i +xj - 3z k outward through the surface cut from the parabolic cylinder z=1-yby the planes x = 0, x=2, and z=0. The flux is (Simplify your answer.)

In Exercises 31-36, find the flux of the field F across the portion of the sphere...

In Exercises 31-36, find the flux of the field F across the portion of the sphere x2y z2= a2 in the first octant in the direction away from the origin 33. F(x, y, z) yi - xj k
Find the upward flux of F vector=<x,y,z> across: a. x^2+y^2+z^2=1, z0 and b. z=1-x^2-y^2, z0. Please...

Find the upward flux of F vector=<x,y,z> across: a. x^2+y^2+z^2=1, z0 and b. z=1-x^2-y^2, z0. Please be detail thanks. We were unable to transcribe this imageWe were unable to transcribe this imageZ S FIND THE UPWARD FLUX OF SX,Y,Z) ACROSS: a. pol + y2 + z = 1, z>0 AND b. ž= 1-x2-, z>O
Evaluate the surface integral ∫∫S F·ds for the given vector field F and the oriented surface S.

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) = xyl + yzj + zxk S is the part of the paraboloid z = 2 = x2 - y2 that lies above the square 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, and has upward orientation_______

6-Let F(x, y,z) = yi - xj+zx°y?k. Evaluate (V x F) dS where S is the surfacex2232 = 1, z < 0 oriented by the upward-...

6-Let F(x, y,z) = yi - xj+zx°y?k. Evaluate (V x F) dS where S is the surfacex2232 = 1, z < 0 oriented by the upward- pointing unit normal. 6-Let F(x, y,z) = yi - xj+zx°y?k. Evaluate (V x F) dS where S is the surfacex2232 = 1, z