answer all parts, please! (5) Consider the closed volume V contained by the cylinder r2+2-4 and the planes y =-2 and r +y-3. Let the surface S be the boundary of this region. Note that this boundary...

Question

Question

(5) Consider the closed volume V contained by the cylinder r2+2-4 and the planes y =-2 and r +y-3. Let the surface S be the b

answer all parts, please!

math Advanced-Math

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Considesa he above gen that 饥38 so define 14 toted lenth will be s_2cesa. So that fatarel crizLion will be 06收!

Add a comment

Answer 2

Similar Homework Help Questions

7. Assume (x, y,x)(2xy, y',5z - y). Let E be the solid upright cylinder between the planes z 0 and z-3 with base the disc x2 + y2 < 9, and let S be the outwardly oriented boundary surface...

7. Assume (x, y,x)(2xy, y',5z - y). Let E be the solid upright cylinder between the planes z 0 and z-3 with base the disc x2 + y2 < 9, and let S be the outwardly oriented boundary surface of E. Note that S consists of three smooth surfaces; the surface Si of the cylinder, plus the top disc Di and the bottom disc D2. Follow the steps to verify the Divergence Theorem. (a) [12 pts.] Evaluate dS directly 7....
11. (20 pts) Consider the surface integral JJs F dS with F(x, y, 2) - 2xyǐ + zeij + z3k where s is the surface of the cylinder y2 + 2 = 4 with 0-x < 2. (a) Parametrize this surface and write down...

11. (20 pts) Consider the surface integral JJs F dS with F(x, y, 2) - 2xyǐ + zeij + z3k where s is the surface of the cylinder y2 + 2 = 4 with 0-x < 2. (a) Parametrize this surface and write down (but do not evaluate) the iterated integrals for the surface integral. (b) Let S' be the closed surface with outward-facing normals obtained by taking the union of the surface S with the planes x = 0...
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,...

e.g.4 Evaluate JJs F dS, where j + sin(zy)k and S is the surface of the region E bounded by the parabolic cylinder z- 1 a2 and the planes z-0,y-0, and y + z-2. e.g.4 Evaluate JJs F dS, wh...

e.g.4 Evaluate JJs F dS, where j + sin(zy)k and S is the surface of the region E bounded by the parabolic cylinder z- 1 a2 and the planes z-0,y-0, and y + z-2. e.g.4 Evaluate JJs F dS, where j + sin(zy)k and S is the surface of the region E bounded by the parabolic cylinder z- 1 a2 and the planes z-0,y-0, and y + z-2.
Please solve all parts of this question clearly and neatly 1. Let S be part of the paraboloid z = 5-22-уг, z--3. Assume that the charge density of s is (x,y,2-7x +5 -z Coulombs per unit of surface ar...

Please solve all parts of this question clearly and neatly 1. Let S be part of the paraboloid z = 5-22-уг, z--3. Assume that the charge density of s is (x,y,2-7x +5 -z Coulombs per unit of surface area. (a) Sketch S (b) Using a parametrisation based on cylindrical coordinates, determine a normal vector to S c) Using part (b), determine the total charge on S 1. Let S be part of the paraboloid z = 5-22-уг, z--3. Assume that...

answer all parts, please! (5) Consider the closed volume V contained by the cylinder r2+2-4 and the planes y =-2 and r +y-3. Let the surface S be the boundary of this region. Note that this boundary...

Homework Answers

Add Answer to:
answer all parts, please! (5) Consider the closed volume V contained by the cylinder r2+2-4 and the planes y =-2 and r +y-3. Let the surface S be the boundary of this region. Note that this boundary...

Post as a guest

Earn Coins

7. Assume (x, y,x)(2xy, y',5z - y). Let E be the solid upright cylinder between the planes z 0 and z-3 with base the disc x2 + y2 < 9, and let S be the outwardly oriented boundary surface...

11. (20 pts) Consider the surface integral JJs F dS with F(x, y, 2) - 2xyǐ + zeij + z3k where s is the surface of the cylinder y2 + 2 = 4 with 0-x < 2. (a) Parametrize this surface and write down...

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...

e.g.4 Evaluate JJs F dS, where j + sin(zy)k and S is the surface of the region E bounded by the parabolic cylinder z- 1 a2 and the planes z-0,y-0, and y + z-2. e.g.4 Evaluate JJs F dS, wh...

Please solve all parts of this question clearly and neatly 1. Let S be part of the paraboloid z = 5-22-уг, z--3. Assume that the charge density of s is (x,y,2-7x +5 -z Coulombs per unit of surface ar...

answer all parts, please! (5) Consider the closed volume V contained by the cylinder r2+2-4 and the planes y =-2 and r +y-3. Let the surface S be the boundary of this region. Note that this boundary...

Homework Answers

Add Answer to: answer all parts, please! (5) Consider the closed volume V contained by the cylinder r2+2-4 and the planes y =-2 and r +y-3. Let the surface S be the boundary of this region. Note that this boundary...

Post as a guest

Earn Coins

7. Assume (x, y,x)(2xy, y',5z - y). Let E be the solid upright cylinder between the planes z 0 and z-3 with base the disc x2 + y2 < 9, and let S be the outwardly oriented boundary surface...

11. (20 pts) Consider the surface integral JJs F dS with F(x, y, 2) - 2xyǐ + zeij + z3k where s is the surface of the cylinder y2 + 2 = 4 with 0-x < 2. (a) Parametrize this surface and write down...

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...

e.g.4 Evaluate JJs F dS, where j + sin(zy)k and S is the surface of the region E bounded by the parabolic cylinder z- 1 a2 and the planes z-0,y-0, and y + z-2. e.g.4 Evaluate JJs F dS, wh...

Please solve all parts of this question clearly and neatly 1. Let S be part of the paraboloid z = 5-22-уг, z--3. Assume that the charge density of s is (x,y,2-7x +5 -z Coulombs per unit of surface ar...

Add Answer to:
answer all parts, please! (5) Consider the closed volume V contained by the cylinder r2+2-4 and the planes y =-2 and r +y-3. Let the surface S be the boundary of this region. Note that this boundary...