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6. Let S CR be the tetrahedron having vertices (0,0,0), (0, 1, 1), (1, 2, 3),...
Let S CR be the tetrahedron having vertices (0,0,0), (0,1,1), (1, 2, 3), and (-1,0,1). Let...
Let S CR be the tetrahedron having vertices (0,0,0), (0,1,1), (1, 2, 3), and (-1,0,1). Let f: R3 R be the function defined by f(x,y, x) = x - 2y + 3z. Using the change of variables theorem, rewrite Ssf as an integral over a 3-rectangle, then use Fubini's theorem to evaluate the integral
Let S CR be the tetrahedron having vertices (0,0,0), (0,1,1), (1,2,3), and (-1,0,1). Let f :...
Let S CR be the tetrahedron having vertices (0,0,0), (0,1,1), (1,2,3), and (-1,0,1). Let f : R3 +R be the function defined by f(x, y, z) = 1 - 2y + 3z. Using the change of variables theorem, rewrite Is f as an integral over a 3-rectangle, then use Fubini's theorem to evaluate the integral
Let S CR be the tetrahedron having vertices (0,0,0), (0,1,1), (1,2,3), and (-1,0,1). Let f: R3...
Let S CR be the tetrahedron having vertices (0,0,0), (0,1,1), (1,2,3), and (-1,0,1). Let f: R3 → R be the function defined by f(x, y, z) = 1 - 2y + 32. Using the change of variables theorem, rewrite Ss f as an integral over a 3-rectangle, then use Fubini's theorem to evaluate the integral (8 points).
Don't give the same solution. Let S CR be the tetrahedron having vertices (0,0,0), (0,1,1), (1,2,3),...
Don't give the same solution.
Let S CR be the tetrahedron having vertices (0,0,0), (0,1,1), (1,2,3), and (-1,0,1). Let f: R3 +R be the function defined by f(x, y, z) = 2 - 2y + 3z. Using the change of variables theorem, rewrite Js f as an integral over a 3-rectangle, then use Fubini's theorem to evaluate the integral
Let S ⊆ be the tetrahedron having vertices (0, 0, 0), (0, 1, 1), (1, 2,...
Let S ⊆
be the tetrahedron having vertices (0, 0, 0), (0, 1, 1), (1, 2,
3), and (−1, 0, 1).
Let f :
→
be the function defined by f(x, y, x) = x − 2y + 3z.
Using the change of variables theorem,
rewrite
as an integral over a 3-rectangle, then use Fubini’s theorem to
evaluate the integral.
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4. Let F(x, y, z)=(y,x,z2). Let S be the surface of the tetrahedron with the vertices...
4. Let F(x, y, z)=(y,x,z2). Let S be the surface of the tetrahedron with the vertices (0,0,0), (2,0,0), (0,2,0), and (0,0,2). Use the divergence theorem to evaluate SS F.dS. (13 points)
(3) Verify the Divergence Theorem for F(x, y, z)-(zy, yz, xz) and the solid tetrahedron with vertices (0,0,0), (1,0,0), (0, 2,0), and (0, 0,1 (3) Verify the Divergence Theorem for F(x, y, z)...
(3) Verify the Divergence Theorem for F(x, y, z)-(zy, yz, xz) and the solid tetrahedron with vertices (0,0,0), (1,0,0), (0, 2,0), and (0, 0,1
(3) Verify the Divergence Theorem for F(x, y, z)-(zy, yz, xz) and the solid tetrahedron with vertices (0,0,0), (1,0,0), (0, 2,0), and (0, 0,1
2. Let S be the interior of the triangle with vertices (0,0,0), (1,0,0) and (0,1,0). a)...
2. Let S be the interior of the triangle with vertices (0,0,0), (1,0,0) and (0,1,0). a) Given F(x, y, z)=(x+1)i +(y+1)] +(2+1)k, calculate the flux of through S without using an integral b) F(x, y, z) = (z+1)7 +(y+1) 7+(x+1)k , set up an iterated integral in dx dy or dy dx to calculate the flux of F through S. You do not need to evaluate your integral
e. 1 Puestion 16 Let E be the solid tetrahedron with vertices (1,1,0), (1,0,4), (0,1,4), (1,1,4)....
e. 1 Puestion 16 Let E be the solid tetrahedron with vertices (1,1,0), (1,0,4), (0,1,4), (1,1,4). Let D Hot yet answered be the projection of E onto xy-plane. If I dV = / f(x,y) dĄ, then f(x, y) = Marked out of 3.00 Flag question Select one: O a. 3 + 3x + 3y b. 1 + 5x + 5y c. 1 + 6x + 6y d. None of these e. 2 + 2x + 2y O f. 4 +...
Please write neatly! 22. Let S denote the plane 2x +y+ 3z = 6 in the...
Please write neatly!
22. Let S denote the plane 2x +y+ 3z = 6 in the first octant with the upward normal, and C denote its triangular boundary. Use Stokes' Theorem to evaluate the line integral F dr where F = <2z - x, x +y +z, 2y-x>.
22. Let S denote the plane 2x +y+ 3z = 6 in the first octant with the upward normal, and C denote its triangular boundary. Use Stokes' Theorem to evaluate the line...
Let S CR be the tetrahedron having vertices (0,0,0), (0,1,1), (1, 2, 3), and (-1,0,1). Let f: R3 R be the function defined by f(x,y, x) = x - 2y + 3z. Using the change of variables theorem, rewrite Ssf as an integral over a 3-rectangle, then use Fubini's theorem to evaluate the integral
Let S CR be the tetrahedron having vertices (0,0,0), (0,1,1), (1,2,3), and (-1,0,1). Let f : R3 +R be the function defined by f(x, y, z) = 1 - 2y + 3z. Using the change of variables theorem, rewrite Is f as an integral over a 3-rectangle, then use Fubini's theorem to evaluate the integral
Let S CR be the tetrahedron having vertices (0,0,0), (0,1,1), (1,2,3), and (-1,0,1). Let f: R3 → R be the function defined by f(x, y, z) = 1 - 2y + 32. Using the change of variables theorem, rewrite Ss f as an integral over a 3-rectangle, then use Fubini's theorem to evaluate the integral (8 points).
Don't give the same solution.
Let S CR be the tetrahedron having vertices (0,0,0), (0,1,1), (1,2,3), and (-1,0,1). Let f: R3 +R be the function defined by f(x, y, z) = 2 - 2y + 3z. Using the change of variables theorem, rewrite Js f as an integral over a 3-rectangle, then use Fubini's theorem to evaluate the integral
Let S ⊆
be the tetrahedron having vertices (0, 0, 0), (0, 1, 1), (1, 2,
3), and (−1, 0, 1).
Let f :
→
be the function defined by f(x, y, x) = x − 2y + 3z.
Using the change of variables theorem,
rewrite
as an integral over a 3-rectangle, then use Fubini’s theorem to
evaluate the integral.
We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image}
4. Let F(x, y, z)=(y,x,z2). Let S be the surface of the tetrahedron with the vertices (0,0,0), (2,0,0), (0,2,0), and (0,0,2). Use the divergence theorem to evaluate SS F.dS. (13 points)
(3) Verify the Divergence Theorem for F(x, y, z)-(zy, yz, xz) and the solid tetrahedron with vertices (0,0,0), (1,0,0), (0, 2,0), and (0, 0,1
(3) Verify the Divergence Theorem for F(x, y, z)-(zy, yz, xz) and the solid tetrahedron with vertices (0,0,0), (1,0,0), (0, 2,0), and (0, 0,1
2. Let S be the interior of the triangle with vertices (0,0,0), (1,0,0) and (0,1,0). a) Given F(x, y, z)=(x+1)i +(y+1)] +(2+1)k, calculate the flux of through S without using an integral b) F(x, y, z) = (z+1)7 +(y+1) 7+(x+1)k , set up an iterated integral in dx dy or dy dx to calculate the flux of F through S. You do not need to evaluate your integral
e. 1 Puestion 16 Let E be the solid tetrahedron with vertices (1,1,0), (1,0,4), (0,1,4), (1,1,4). Let D Hot yet answered be the projection of E onto xy-plane. If I dV = / f(x,y) dĄ, then f(x, y) = Marked out of 3.00 Flag question Select one: O a. 3 + 3x + 3y b. 1 + 5x + 5y c. 1 + 6x + 6y d. None of these e. 2 + 2x + 2y O f. 4 +...
Please write neatly!
22. Let S denote the plane 2x +y+ 3z = 6 in the first octant with the upward normal, and C denote its triangular boundary. Use Stokes' Theorem to evaluate the line integral F dr where F = <2z - x, x +y +z, 2y-x>.
22. Let S denote the plane 2x +y+ 3z = 6 in the first octant with the upward normal, and C denote its triangular boundary. Use Stokes' Theorem to evaluate the line...
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