exact value
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F ⃗=(18z+6y+cos^2 (x^2 )) i ⃗+(sin^2 (y)+5z) j ⃗+(e^(z^2 )+12y)k ⃗
Let C be the circle of radius 7 in the plane x + y + z = 24, centered at (8, 8, 8) and oriented counterclockwise when viewed from the origin.
Find the exact value of c · d
© BrainMass Inc. brainmass.com December 24, 2021, 8:32 pm ad1c9bdddfhttps://brainmass.com/physics/flux-flux-density/exact-value-flux-integral-287182
SOLUTION This solution is FREE courtesy of BrainMass!
Let C be the circle of radius 7 in the plane x + y + z = 24, centered at (8, 8, 8) and oriented counterclockwise when viewed from the origin.
Find the exact value of c · d
Using Stock's theorem,
Unit normal vector to the surface x + y + z = 24 is given by
Then
Where A is the area of the circle which is bounded by plane x + y + z = 24.
Thus =
© BrainMass Inc. brainmass.com December 24, 2021, 8:32 pm ad1c9bdddf>https://brainmass.com/physics/flux-flux-density/exact-value-flux-integral-287182