Homework Answers
please upvote if it
helps
Add Answer to:
2. a) Verify the divergence theorem for the function in cylindrical coordinates, for a cylinder of...
3. In spherical coordinates the unit vectors r, and ф are given by (a) Compute the...
3. In spherical coordinates the unit vectors r, and ф are given by (a) Compute the cross products #x f, #x θ, PX φ, θ 0, θ >< φ, and φ >< φ. (b) Express x, y and z in terms of, О and ф. (c) Check the divergence theorern for the function u = r , using for volume the sphere of radius 13] R, centered at the origin, i.e. show that dä -JyV-üö)dr.
Question 2 (1 point) Identify the surface r = 1, in cylindrical coordinates. Plane Cone Half...
Question 2 (1 point) Identify the surface r = 1, in cylindrical coordinates. Plane Cone Half plane Disc Sphere Circle Line segment Cylinder Use spherical coordinates to find the volume of the solid that lies above the cone z = V3x2 + 3y2 and below the sphere x2 + y2 + 2? first octant. Write = 1 in the V = L*S*%' * sin ødpdepdo 1. O 2. 1 d = < 3. À b= 4. 7T 2 5. Ő...
B.2. The surface Sc of an ice-cream cone can be parametrised in spherical polar coordinates (r,...
B.2. The surface Sc of an ice-cream cone can be parametrised in spherical polar coordinates (r, 0, 0) by where θ0 is a constant (which you may assume is less than π/2) (a) Sketch the surface Sc (b) Using the expression show that the vector element of area on Sc is given by -T Sin where [41 (c) The vector field a(r) is given in Cartesian coordinates by Show that on Sc and hence that 4 2 (d) The curved...
Write the vector differential operator "DEL-V in Cartesian coordinates Cylindrical coordinates Spherical coordinates. 2. Show for...
Write the vector differential operator "DEL-V in Cartesian coordinates Cylindrical coordinates Spherical coordinates. 2. Show for any "nice" scalar function (x,y,z), the Curl of the gradient of (x,y,z) is Zero.. VxVo = 0 Hint: assume the order of differentiation can be switched 3. Find the volume of a sphere of radius R by integrating the infinitesimal volume element of the sphere. 4. Write Maxwell's equations for the case of electro and magneto statics (the fields do not change in time)...
2. A solid cylinder of radius R1 and permeability u1 has a uniform surface current density...
2. A solid cylinder of radius R1 and permeability u1 has a uniform surface current density K = K2 at its surface, where 2 is the axis of the cylinder. The cylinder is covered by a coaxial cylindrical shell of inner radius R1, outer radius R2 made of a material of permeability H2. The cylindrical shell has no free current. a) Calculate H, B and M in all three regions 0 < r < R1, R1 < r < R2,...
5. This problem uses cylindrical coordinates. (a) Express x, y and z in terms of unit...
5. This problem uses cylindrical coordinates. (a) Express x, y and z in terms of unit vectors in cylindrical coordinates s, ф and г. (b) Find the divergence of the function u = s(2 + sín2ф)s + s sin φ cos φ φ + 322, [3] 13)
2. Follow the steps to verify the Divergence Theorem forF(x, y, z)-(z2, 2y, 49) and the solid cyl...
2. Follow the steps to verify the Divergence Theorem forF(x, y, z)-(z2, 2y, 49) and the solid cylinder E : r2 + y2 < 4, 0 2. (a) 9 pts] Evaluate F dS directly where S is the closed cylinder S which bounds E oriented outward. Note that S consists of three surfaces: S1 the surface of the cylinder x2 + y-4 for 0 z 2, the disc Di : x2 +92-4 which lies in the plane z 0 and...
Verify Gauss's Divergence Theorem by evaluating each side of the equation in the theorem. Here,
Gauss's Divergence Theorem Verify Gauss's Divergence Theorem by evaluating each side of the equation in the theorem. Here, Here, \(\vec{F}=y \vec{\imath}-x \vec{\jmath}\), and \(S\) is the hemisphere \(x^{2}+y^{2}+z^{2}=9, z \geq 0\), with boundary \(\gamma: x^{2}+y^{2}=9, z=0\)State the Divergence Theorem in its entirety. Sketch the surface S and curve, γExplain in detail how all the conditions of the hypothesis of the theorem are satisfied Show all work using proper notation throughout your solutions. Simplify your answers completely
a) What is the Surface Integral b) What is the Triple Integral Verify the Divergence Theorem...
a) What is the Surface Integral
b) What is the Triple Integral
Verify the Divergence Theorem for the vector field F(x, y, z) = (y,1,22) on the region E bounded by the planes y + 2 = 2, 2= 0 and the cylinder r2 + y2 = 1.
1 For a vector field A zx +xz y yz Verify Divergence theorem over a sphere, with a radius R and center at the origin 1. 3 points 3 points Converthe vector into eylindrical coordinatces 2. 1...
1 For a vector field A zx +xz y yz Verify Divergence theorem over a sphere, with a radius R and center at the origin 1. 3 points 3 points Converthe vector into eylindrical coordinatces 2.
1 For a vector field A zx +xz y yz Verify Divergence theorem over a sphere, with a radius R and center at the origin 1. 3 points 3 points Converthe vector into eylindrical coordinatces 2.
3. In spherical coordinates the unit vectors r, and ф are given by (a) Compute the cross products #x f, #x θ, PX φ, θ 0, θ >< φ, and φ >< φ. (b) Express x, y and z in terms of, О and ф. (c) Check the divergence theorern for the function u = r , using for volume the sphere of radius 13] R, centered at the origin, i.e. show that dä -JyV-üö)dr.
Question 2 (1 point) Identify the surface r = 1, in cylindrical coordinates. Plane Cone Half plane Disc Sphere Circle Line segment Cylinder Use spherical coordinates to find the volume of the solid that lies above the cone z = V3x2 + 3y2 and below the sphere x2 + y2 + 2? first octant. Write = 1 in the V = L*S*%' * sin ødpdepdo 1. O 2. 1 d = < 3. À b= 4. 7T 2 5. Ő...
B.2. The surface Sc of an ice-cream cone can be parametrised in spherical polar coordinates (r, 0, 0) by where θ0 is a constant (which you may assume is less than π/2) (a) Sketch the surface Sc (b) Using the expression show that the vector element of area on Sc is given by -T Sin where [41 (c) The vector field a(r) is given in Cartesian coordinates by Show that on Sc and hence that 4 2 (d) The curved...
Write the vector differential operator "DEL-V in Cartesian coordinates Cylindrical coordinates Spherical coordinates. 2. Show for any "nice" scalar function (x,y,z), the Curl of the gradient of (x,y,z) is Zero.. VxVo = 0 Hint: assume the order of differentiation can be switched 3. Find the volume of a sphere of radius R by integrating the infinitesimal volume element of the sphere. 4. Write Maxwell's equations for the case of electro and magneto statics (the fields do not change in time)...
2. A solid cylinder of radius R1 and permeability u1 has a uniform surface current density K = K2 at its surface, where 2 is the axis of the cylinder. The cylinder is covered by a coaxial cylindrical shell of inner radius R1, outer radius R2 made of a material of permeability H2. The cylindrical shell has no free current. a) Calculate H, B and M in all three regions 0 < r < R1, R1 < r < R2,...
5. This problem uses cylindrical coordinates. (a) Express x, y and z in terms of unit vectors in cylindrical coordinates s, ф and г. (b) Find the divergence of the function u = s(2 + sín2ф)s + s sin φ cos φ φ + 322, [3] 13)
2. Follow the steps to verify the Divergence Theorem forF(x, y, z)-(z2, 2y, 49) and the solid cylinder E : r2 + y2 < 4, 0 2. (a) 9 pts] Evaluate F dS directly where S is the closed cylinder S which bounds E oriented outward. Note that S consists of three surfaces: S1 the surface of the cylinder x2 + y-4 for 0 z 2, the disc Di : x2 +92-4 which lies in the plane z 0 and...
a) What is the Surface Integral
b) What is the Triple Integral
Verify the Divergence Theorem for the vector field F(x, y, z) = (y,1,22) on the region E bounded by the planes y + 2 = 2, 2= 0 and the cylinder r2 + y2 = 1.
1 For a vector field A zx +xz y yz Verify Divergence theorem over a sphere, with a radius R and center at the origin 1. 3 points 3 points Converthe vector into eylindrical coordinatces 2.
1 For a vector field A zx +xz y yz Verify Divergence theorem over a sphere, with a radius R and center at the origin 1. 3 points 3 points Converthe vector into eylindrical coordinatces 2.
Most questions answered within 3 hours.
-
A quiet town in Kansas has 10 people, all of whom have the same
preferences. There...
asked 1 minute ago -
How would one critically evaluate an organizations marketing
strategies from the viewpoint of its consumers, as...
asked 2 minutes ago -
Given a standardized normal distribution (with μ = 0 and a σ =
1), what is...
asked 3 minutes ago -
Summarize what an organization needs from a leader.
a. Analyze what might happen to an organization...
asked 4 minutes ago -
Company XYZ know that replacement times for the quartz time
pieces it produces are normally distributed...
asked 18 minutes ago -
A) Write the acid-base reaction that occurs between Na2HPO4 and
NaOH
B) Write the possible reactions...
asked 31 minutes ago -
What advantages does the Natural Law Theory have in comparison
with the Divine Command Theory? Explain...
asked 37 minutes ago -
A diver comes off a board with arms straight up and legs
straight down, giving her...
asked 36 minutes ago -
Answer the following questions
In your own words, define each of these terms
- Branding, Packaging,...
asked 34 minutes ago -
Briefly discuss developments in the crude oil market and your
outlook, using the microeconomic concepts discussed...
asked 35 minutes ago -
Electrons are accelerated through potential difference of 12 V
and are bombarding the hydrogen atoms. To...
asked 39 minutes ago -
The first stock pays a current dividend of $2 which is growing
at 3% per year....
asked 46 minutes ago