verify Stokes' thm.Assume that the surface S is oriented upward F = 2zi - 3xj +...

verify Stokes' thm.Assume that the surface S is oriented upward F = 2zi - 3xj + 4yk ; S that portion of the paraboloid z =16 - x²- y² for z>=0. My primary is how to convert dS into dA

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milcah answered 1 year ago

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Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed...

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Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed...

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1A) Let S be the upward oriented surface of the box [-pi,pi]x[0,pi]x[0,pi]without the face xy plane....

1A) Let S be the upward oriented surface of the box [-pi,pi]x[0,pi]x[0,pi]without the face xy plane. That is, in the standard view, the box has a front and back, a left and right face, a top face, but no bottom face. Let F(x,y,z)=< ycos(z),zcos(x),xcos(y) >. Find the flux of curl F across S directly, without using stokes theorem. 1B) Let S be the upward oriented surface of the box [-pi,pi]x[0,pi]x[0,pi]without the face xy plane. That is, in the standard view, the box...

Evaluate the surface integral S F · dS for the given vector field F and the...

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) = xy i + yz j + zx k S is the part of the paraboloid z = 6 − x2 − y2 that lies above the square 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, and has...

Evaluate the surface integral S F · dS for the given vector field F and...

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Evaluate the surface integral S F · dS for the given vector field F and...

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Evaluate the surface integral S F · dS for the given vector field F and the...

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Evaluate the surface integral S F · dS for the given vector field F and...

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For the function f(x)=x4-4x3 , find the following: local minima and/or maxima (verify) inflection point(s) (verify)

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