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It is divergence free and an open surface so I think you have
to think of...
Q) Hi, Can you please answer the question using clear detailed steps and definitions so I...
Q) Hi, Can you please answer the question using clear
detailed steps and definitions so I can better understand it? Thank
you so much! :)
(1 point) Use the divergence theorem to calculate the flux of the vector field F(x, y, z) = xi + y’j + zk out of the closed, outward- oriented surface S bounding the solid x2 + y2 < 25, 0 <236. FdA=
Evaluate the surface integral F dot dS for the given vector field F and the oriented...
Evaluate the surface integral F dot 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.
24. F(x, y, z) = -xi - yj + z’k, S is the part of the cone z = x2 + y2 between the planes z 1 and 2 3 with downward orientation
Help. Cant figure this one out. I keep messing up somewhere. please sent full steps. THANKS...
Help. Cant figure this one out. I keep messing up somewhere. please
sent full steps. THANKS IN ADVANCE. I will thumbs up!
13. For the vector field F(x, y, z) = (xy + yºz)i + (y2 + x2 +e+2) 3 + (zz - sin(xy) + y2), compute the divergence of Ě, i.e. compute div = 7. F. Then, using the divergence theorem, compute the surface integral (fux across S) ST. P. 25, where S is the outward- oriented, closed surface...
Q1. Evaluate the line integral f (x2 + y2)dx + 2xydy by two methods a) directly,...
Q1. Evaluate the line integral f (x2 + y2)dx + 2xydy by two methods a) directly, b) using Green's Theorem, where C consists of the arc of the parabola y = x2 from (0,0) to (2,4) and the line segments from (2,4) to (0,4) and from (0,4) to (0,0). [Answer: 0] Q2. Use Green's Theorem to evaluate the line integral $. F. dr or the work done by the force field F(x, y) = (3y - 4x)i +(4x - y)j...
I lost in this I need help please thank you + 14) [12] Find the flux...
I lost in this I need help please thank you
+ 14) [12] Find the flux of the vector field F across the enclosed surface S. Sketch the surface. F = yi +3x j +4zk, and S is the boundary of the solid region enclosed by z=9-x² - y2 and the plane z=2. (note that this includes two surfaces). Assume outward orientation. Do not use the Divergence Theorem. Evaluate completely. Bonus 4 points Use the Divergence Theorem to solve the...
URGENT TRUE/FALSE 1 T F The intersection of 2 = 12 + y and rº +...
URGENT TRUE/FALSE
1 T F The intersection of 2 = 12 + y and rº + y² + 2 = 18 is a circle of radius 9. 2. T F = 2x + y is an equation of the tangent plane for f(z,y) = ry at the point where I = 1 and y=1. 3. T F Assume that (1,1) is a critical point for the function f(x,y) = 1 + y - 4ry+3. Then (1,1) is a local maximum...
21 Problem 20. Let S be the surface bounded by the graph of f(x,y)-2+y2 . the plane z 5; Os1; and .0sys1. In addition, let F be the vector field defined by F(x, y,z):i+ k. (1) By converting the r...
21 Problem 20. Let S be the surface bounded by the graph of f(x,y)-2+y2 . the plane z 5; Os1; and .0sys1. In addition, let F be the vector field defined by F(x, y,z):i+ k. (1) By converting the resulting triple integral into cylindrical coordinates, find the exact value of the flux integral F.n do, assuming that S is oriented in the positive z-direction. (Recall that since the surface is oriented upwardly, you should use the vector -fx, -fy, 1)...
(1 point) This problem will illustrate the divergence theorem by computing the outward flux of th...
(1 point) This problem will illustrate the divergence theorem by computing the outward flux of the vector field F(x, y, z) -2ri + 5yj + 2k across the boundary of the right rectangular prism:-1< x< 7, -4
i need help with all parts. i will rate. thank you very much. Let C be...
i need help with all parts. i will rate.
thank you very much.
Let C be the closed curve consisting of two pieces. One piece is the upper-half circle of radius 3, centered at the origin, oriented counter-clockwise. The other piece is the horizontal line segment from (-3,0) to (3,0). Evaluate the line integral $ (x2 + y2)dx + (6xy—y?)dy = с (-3,0) (3,0) O 36 O 72 O 31 91/2 The level set of f(x,y) = 12 is a...
number 6. to udestyoRe phenomena ren is the Key to understanding these ty ercises 1. Let...
number 6.
to udestyoRe phenomena ren is the Key to understanding these ty ercises 1. Let S be the portion of the plane 2x + 3y+ z Let S be the portion of the surface z-x2 +y2 lyin between the points (0, 0, 0). (2, 0, 4). (0, 2, 4), and (2, 2, 8). Find parameterizations for both the surface and its boundary aS. Be sure that their respective orientations are compatible with Stokes theorem. 5 lying 2. between the...
Q) Hi, Can you please answer the question using clear
detailed steps and definitions so I can better understand it? Thank
you so much! :)
(1 point) Use the divergence theorem to calculate the flux of the vector field F(x, y, z) = xi + y’j + zk out of the closed, outward- oriented surface S bounding the solid x2 + y2 < 25, 0 <236. FdA=
Evaluate the surface integral F dot 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.
24. F(x, y, z) = -xi - yj + z’k, S is the part of the cone z = x2 + y2 between the planes z 1 and 2 3 with downward orientation
Help. Cant figure this one out. I keep messing up somewhere. please
sent full steps. THANKS IN ADVANCE. I will thumbs up!
13. For the vector field F(x, y, z) = (xy + yºz)i + (y2 + x2 +e+2) 3 + (zz - sin(xy) + y2), compute the divergence of Ě, i.e. compute div = 7. F. Then, using the divergence theorem, compute the surface integral (fux across S) ST. P. 25, where S is the outward- oriented, closed surface...
Q1. Evaluate the line integral f (x2 + y2)dx + 2xydy by two methods a) directly, b) using Green's Theorem, where C consists of the arc of the parabola y = x2 from (0,0) to (2,4) and the line segments from (2,4) to (0,4) and from (0,4) to (0,0). [Answer: 0] Q2. Use Green's Theorem to evaluate the line integral $. F. dr or the work done by the force field F(x, y) = (3y - 4x)i +(4x - y)j...
I lost in this I need help please thank you
+ 14) [12] Find the flux of the vector field F across the enclosed surface S. Sketch the surface. F = yi +3x j +4zk, and S is the boundary of the solid region enclosed by z=9-x² - y2 and the plane z=2. (note that this includes two surfaces). Assume outward orientation. Do not use the Divergence Theorem. Evaluate completely. Bonus 4 points Use the Divergence Theorem to solve the...
URGENT TRUE/FALSE
1 T F The intersection of 2 = 12 + y and rº + y² + 2 = 18 is a circle of radius 9. 2. T F = 2x + y is an equation of the tangent plane for f(z,y) = ry at the point where I = 1 and y=1. 3. T F Assume that (1,1) is a critical point for the function f(x,y) = 1 + y - 4ry+3. Then (1,1) is a local maximum...
21 Problem 20. Let S be the surface bounded by the graph of f(x,y)-2+y2 . the plane z 5; Os1; and .0sys1. In addition, let F be the vector field defined by F(x, y,z):i+ k. (1) By converting the resulting triple integral into cylindrical coordinates, find the exact value of the flux integral F.n do, assuming that S is oriented in the positive z-direction. (Recall that since the surface is oriented upwardly, you should use the vector -fx, -fy, 1)...
(1 point) This problem will illustrate the divergence theorem by computing the outward flux of the vector field F(x, y, z) -2ri + 5yj + 2k across the boundary of the right rectangular prism:-1< x< 7, -4
i need help with all parts. i will rate.
thank you very much.
Let C be the closed curve consisting of two pieces. One piece is the upper-half circle of radius 3, centered at the origin, oriented counter-clockwise. The other piece is the horizontal line segment from (-3,0) to (3,0). Evaluate the line integral $ (x2 + y2)dx + (6xy—y?)dy = с (-3,0) (3,0) O 36 O 72 O 31 91/2 The level set of f(x,y) = 12 is a...
number 6.
to udestyoRe phenomena ren is the Key to understanding these ty ercises 1. Let S be the portion of the plane 2x + 3y+ z Let S be the portion of the surface z-x2 +y2 lyin between the points (0, 0, 0). (2, 0, 4). (0, 2, 4), and (2, 2, 8). Find parameterizations for both the surface and its boundary aS. Be sure that their respective orientations are compatible with Stokes theorem. 5 lying 2. between the...
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