Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by x2+y2=36, 0≤z≤1, and a hemispherical cap defined by x2+y2+(z−1)2=36, z≥1. For the vector field F=(zx+z2y+7y, z3yx+8x, z4x2), compute ∬M(∇×F)⋅dS in any way you like.
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Let M be the capped cylindrical surface which is the union of
two surfaces, a cylinder...
Let MM be the capped cylindrical surface which is the union of two surfaces, a cylinder given by x2+y2=81, 0≤z≤1x2+y2=81, 0≤z≤1, and a hemispherical cap defined by x2+y2+(z−1)2=81, z≥1x2+y2+(z−1)2=81,...
Let MM be the capped cylindrical surface which is the union of
two surfaces, a cylinder given by x2+y2=81, 0≤z≤1x2+y2=81, 0≤z≤1,
and a hemispherical cap defined by x2+y2+(z−1)2=81,
z≥1x2+y2+(z−1)2=81, z≥1. For the vector field F=(zx+z2y+4y,
z3yx+4x, z4x2)F=(zx+z2y+4y, z3yx+4x, z4x2), compute
∬M(∇×F)⋅dS∬M(∇×F)⋅dS in any way you like
(1 point) Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by X2 + y2-81, 0 < ž < 1, and a hemispherical cap defined by...
Let M be the outward oriented capped cylindrical surface which is the union of two surfaces,...
Let M be the outward oriented capped cylindrical surface which is the union of two surfaces, a cylinder given by x2 + y2 = 25, 0 <z < 1, and a hemispherical cap defined by x2 + y2 + (z – 1)2 = 25, z > 1. For the vector field F = (zx + z2 y + 3y, z’yx + 5x, z4 x2), compute M (V x F). dS in any way you like. DM (V x F). dS...
6AHW9: Problem 5 Prev Up Next (1 pt) Let M be the capped cylindrical surface which...
6AHW9: Problem 5 Prev Up Next (1 pt) Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by x2 + y2 = 81, O SZS 1, and a hemispherical cap defined by x2 + y2 + (x - 1)2 = 81, z 2 1. For the vector field F = (zx + z²y + 2y, z'yx + 7x, z*x). compute (V x F). ds in any way you like. I(V x F)....
Section 16.8: Problem 5 Previous ProblemProblem List Next Problem (1 point) Let M be the capped cylindnical surface which is the union of two surfaces, a cylinder given by z+y-49,0 1, and a hemis...
Section 16.8: Problem 5 Previous ProblemProblem List Next Problem (1 point) Let M be the capped cylindnical surface which is the union of two surfaces, a cylinder given by z+y-49,0 1, and a hemisphencal cap defined by Z2 + y2 + (z-1)2-49, z > 1. For the vector field F-(tr + z"y + 4y, zar + 72, z'z2), compute M(Vx F) dS in any way you like. Preview My Answers Submit Answers You hayi,attempted this problem 1 time. Your ovean...
9. Let S be the capped cylindrical surtace showh in rigure 12.12 i ua) of (T, y,z) a2+y21,0z 1, and S2 is defined b...
9. Let S be the capped cylindrical surtace showh in rigure 12.12 i ua) of (T, y,z) a2+y21,0z 1, and S2 is defined by a2 +y2+(z-1) 1, 21 F(x, y, z) = (zx+z?y+z) i+ (z?yx+9)j+z4x2k. Compute l (v x F union of two surfaces Si and 2, where S1 is the set of (z
9. Let S be the capped cylindrical surtace showh in rigure 12.12 i ua) of (T, y,z) a2+y21,0z 1, and S2 is defined by a2 +y2+(z-1)...
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...
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) -xi yj+3 k S is the boundary of the region enclosed by the cylinder x2 + z2-1 and the planes y 0 and x y 2
Evaluate the surface integral F dS for the given vector field F and the oriented surface...
QUESTION 5 Let the surface S be the portion of the cylinder x2 + y2 4 under z 3 and above the xy-plane Write the par...
QUESTION 5 Let the surface S be the portion of the cylinder x2 + y2 4 under z 3 and above the xy-plane Write the parametric representation r(z,0) for the cylinder x2 +y2 4 in term of z (a) and 0 (2 marks) Based on (a), find the magnitude of llr, x rell for the given cylinder (b) (6 marks) 1 1+ (e) Evaluate z dS for the given S (8 marks) Hence, use the divergence theorem to evaluate f,...
Question 1 1 pts Let F= (2,0, y) and let S be the oriented surface parameterized...
Question 1 1 pts Let F= (2,0, y) and let S be the oriented surface parameterized by G(u, v) = (u? – v, u, v2) for 0 <u < 12, -1 <u< 4. Calculate | [F. ds. (enter an integer) Question 2 1 pts Calculate (F.ds for the oriented surface F=(y,z,«), plane 6x – 7y+z=1,0 < x <1,0 Sysi, with an upward pointing normal. (enter an integer) Question 3 1 pts Calc F. ds for the oriented surface F =...
Evaluate the surface integralF 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....
Evaluate the surface integralF 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. S is the boundary of the region enclosed by the cylinder x2 + z2-1 and the planes y O and x y 3
Evaluate the surface integralF F ds for the given vector field F and the oriented surface S. In other words, find the...
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...
Let MM be the capped cylindrical surface which is the union of
two surfaces, a cylinder given by x2+y2=81, 0≤z≤1x2+y2=81, 0≤z≤1,
and a hemispherical cap defined by x2+y2+(z−1)2=81,
z≥1x2+y2+(z−1)2=81, z≥1. For the vector field F=(zx+z2y+4y,
z3yx+4x, z4x2)F=(zx+z2y+4y, z3yx+4x, z4x2), compute
∬M(∇×F)⋅dS∬M(∇×F)⋅dS in any way you like
(1 point) Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by X2 + y2-81, 0 < ž < 1, and a hemispherical cap defined by...
Let M be the outward oriented capped cylindrical surface which is the union of two surfaces, a cylinder given by x2 + y2 = 25, 0 <z < 1, and a hemispherical cap defined by x2 + y2 + (z – 1)2 = 25, z > 1. For the vector field F = (zx + z2 y + 3y, z’yx + 5x, z4 x2), compute M (V x F). dS in any way you like. DM (V x F). dS...
6AHW9: Problem 5 Prev Up Next (1 pt) Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by x2 + y2 = 81, O SZS 1, and a hemispherical cap defined by x2 + y2 + (x - 1)2 = 81, z 2 1. For the vector field F = (zx + z²y + 2y, z'yx + 7x, z*x). compute (V x F). ds in any way you like. I(V x F)....
Section 16.8: Problem 5 Previous ProblemProblem List Next Problem (1 point) Let M be the capped cylindnical surface which is the union of two surfaces, a cylinder given by z+y-49,0 1, and a hemisphencal cap defined by Z2 + y2 + (z-1)2-49, z > 1. For the vector field F-(tr + z"y + 4y, zar + 72, z'z2), compute M(Vx F) dS in any way you like. Preview My Answers Submit Answers You hayi,attempted this problem 1 time. Your ovean...
9. Let S be the capped cylindrical surtace showh in rigure 12.12 i ua) of (T, y,z) a2+y21,0z 1, and S2 is defined by a2 +y2+(z-1) 1, 21 F(x, y, z) = (zx+z?y+z) i+ (z?yx+9)j+z4x2k. Compute l (v x F union of two surfaces Si and 2, where S1 is the set of (z
9. Let S be the capped cylindrical surtace showh in rigure 12.12 i ua) of (T, y,z) a2+y21,0z 1, and S2 is defined by a2 +y2+(z-1)...
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) -xi yj+3 k S is the boundary of the region enclosed by the cylinder x2 + z2-1 and the planes y 0 and x y 2
Evaluate the surface integral F dS for the given vector field F and the oriented surface...
QUESTION 5 Let the surface S be the portion of the cylinder x2 + y2 4 under z 3 and above the xy-plane Write the parametric representation r(z,0) for the cylinder x2 +y2 4 in term of z (a) and 0 (2 marks) Based on (a), find the magnitude of llr, x rell for the given cylinder (b) (6 marks) 1 1+ (e) Evaluate z dS for the given S (8 marks) Hence, use the divergence theorem to evaluate f,...
Question 1 1 pts Let F= (2,0, y) and let S be the oriented surface parameterized by G(u, v) = (u? – v, u, v2) for 0 <u < 12, -1 <u< 4. Calculate | [F. ds. (enter an integer) Question 2 1 pts Calculate (F.ds for the oriented surface F=(y,z,«), plane 6x – 7y+z=1,0 < x <1,0 Sysi, with an upward pointing normal. (enter an integer) Question 3 1 pts Calc F. ds for the oriented surface F =...
Evaluate the surface integralF 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. S is the boundary of the region enclosed by the cylinder x2 + z2-1 and the planes y O and x y 3
Evaluate the surface integralF F ds for the given vector field F and the oriented surface S. In other words, find 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...
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