Homework Answers
Add Answer to:
Problem 2 Let D be the "ice cream cone" region in space, bounded below by 2y3+y) and above by the...
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...
Find the volume of the ice cream cone that is bounded above by the half sphere...
Find the volume of the ice cream cone that is bounded above by the half sphere z = sqrt( 4− x^2 − y^2 ) + 4 and the cone z= 2sqrt( x^2 + y^2 ). Transformation to cylindrical coordinates could be easier.
Let F(x, y, z) (xr,y, z). Compute the outward flux of F: 9y2622 on the bounded...
Let F(x, y, z) (xr,y, z). Compute the outward flux of F: 9y2622 on the bounded region inside of S. However, you may wish to consider the region bounded between S and the sphere of radius 100.) 7/Fthrough the ellipsoid 4c2 36. (Hint: Because F is not continuous at zero, you cannot use the divergence theorem Suppose that E is the unit cube in the first octant and F(z,y, z) = (-x,y, z). Let S be the surface obtained by...
16.8.5 Use the divergence theorem to find the outward flux of F across the boundary of the region D. D: The cube bounded by the planes x- t2, y- t2, and z- t2 The outward flux is (Type an exact answe...
16.8.5 Use the divergence theorem to find the outward flux of F across the boundary of the region D. D: The cube bounded by the planes x- t2, y- t2, and z- t2 The outward flux is (Type an exact answer.)
16.8.5 Use the divergence theorem to find the outward flux of F across the boundary of the region D. D: The cube bounded by the planes x- t2, y- t2, and z- t2 The outward flux is (Type an...
3) Consider the vector field F-ra where a is a constant vector and let V be the region in R3 bounded by the surfaces r y24,1, z0. Find the outward flux of F i1n across the closed surface S of V...
3) Consider the vector field F-ra where a is a constant vector and let V be the region in R3 bounded by the surfaces r y24,1, z0. Find the outward flux of F i1n across the closed surface S of V
3) Consider the vector field F-ra where a is a constant vector and let V be the region in R3 bounded by the surfaces r y24,1, z0. Find the outward flux of F i1n across the closed surface S...
Exercise 6.3: Let U be the solid bounded below by the cone : _V3z? + 3y2 and above by the sphere ...
Exercise 6.3: Let U be the solid bounded below by the cone : _V3z? + 3y2 and above by the sphere x2 + y2 + ~2 4. Use a repeated integral and spherical coordinates to evaluate the volume of the solid U
Exercise 6.3: Let U be the solid bounded below by the cone : _V3z? + 3y2 and above by the sphere x2 + y2 + ~2 4. Use a repeated integral and spherical coordinates to evaluate the volume...
(7) Let V be the region in R3 enclosed by the surfaces+2 20 and z1. Let S denote the closed surface of V and let n deno...
(7) Let V be the region in R3 enclosed by the surfaces+2 20 and z1. Let S denote the closed surface of V and let n denote the outward unit normal. Calculate the flux of the vector field F(x, y, z) = yi + (r2-zjy + ~2k out of V and verify Gauss Divergence Theorem holds for this case. That is, calculate the flux directly as a surface integral and show it gives the same answer as the triple integral...
Please only answer if you know how. Please show full workings. Regards (3) Consider the vector field Fa where a is a constant vector and let V be the region in R3 bounded by the surfaces2 +y2-4, 1,z-...
Please only answer if you know how. Please show full workings.
Regards
(3) Consider the vector field Fa where a is a constant vector and let V be the region in R3 bounded by the surfaces2 +y2-4, 1,z-0. Find the outward flux of F onsider the vector ће across the closed surface S ofV.
(3) Consider the vector field Fa where a is a constant vector and let V be the region in R3 bounded by the surfaces2 +y2-4, 1,z-0....
(1) Let F denote the inverse square vector field (axr, y, z) F= (Note that ||F...
(1) Let F denote the inverse square vector field (axr, y, z) F= (Note that ||F 1/r2.) The domain of F is R3\{(0, 0, 0)} where r = the chain rule (a) Verify that Hint: first show that then use (b) Show that div(F 0. (c) Suppose that S is a closed surface in R3 that does not enclose the origin. Show that the flux of F through S is zero. Hint: since the interior of S does not contain...
(1 point) Let F(2, y, z) be a vector field, and let S be a closed...
(1 point) Let F(2, y, z) be a vector field, and let S be a closed surface. Also, let D be the region inside S. Which of the following describe the Divergence Theorem in words? Select all that apply. L A. The outward flux of F(x, y, z) across S equals the triple integral of the divergence of F(2, y, z) on D. IB. The outward flux of F(x, y, z) across S equals the surface integral of the divergence...
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...
Let F(x, y, z) (xr,y, z). Compute the outward flux of F: 9y2622 on the bounded region inside of S. However, you may wish to consider the region bounded between S and the sphere of radius 100.) 7/Fthrough the ellipsoid 4c2 36. (Hint: Because F is not continuous at zero, you cannot use the divergence theorem Suppose that E is the unit cube in the first octant and F(z,y, z) = (-x,y, z). Let S be the surface obtained by...
16.8.5 Use the divergence theorem to find the outward flux of F across the boundary of the region D. D: The cube bounded by the planes x- t2, y- t2, and z- t2 The outward flux is (Type an exact answer.)
16.8.5 Use the divergence theorem to find the outward flux of F across the boundary of the region D. D: The cube bounded by the planes x- t2, y- t2, and z- t2 The outward flux is (Type an...
3) Consider the vector field F-ra where a is a constant vector and let V be the region in R3 bounded by the surfaces r y24,1, z0. Find the outward flux of F i1n across the closed surface S of V
3) Consider the vector field F-ra where a is a constant vector and let V be the region in R3 bounded by the surfaces r y24,1, z0. Find the outward flux of F i1n across the closed surface S...
Exercise 6.3: Let U be the solid bounded below by the cone : _V3z? + 3y2 and above by the sphere x2 + y2 + ~2 4. Use a repeated integral and spherical coordinates to evaluate the volume of the solid U
Exercise 6.3: Let U be the solid bounded below by the cone : _V3z? + 3y2 and above by the sphere x2 + y2 + ~2 4. Use a repeated integral and spherical coordinates to evaluate the volume...
(7) Let V be the region in R3 enclosed by the surfaces+2 20 and z1. Let S denote the closed surface of V and let n denote the outward unit normal. Calculate the flux of the vector field F(x, y, z) = yi + (r2-zjy + ~2k out of V and verify Gauss Divergence Theorem holds for this case. That is, calculate the flux directly as a surface integral and show it gives the same answer as the triple integral...
Please only answer if you know how. Please show full workings.
Regards
(3) Consider the vector field Fa where a is a constant vector and let V be the region in R3 bounded by the surfaces2 +y2-4, 1,z-0. Find the outward flux of F onsider the vector ће across the closed surface S ofV.
(3) Consider the vector field Fa where a is a constant vector and let V be the region in R3 bounded by the surfaces2 +y2-4, 1,z-0....
(1) Let F denote the inverse square vector field (axr, y, z) F= (Note that ||F 1/r2.) The domain of F is R3\{(0, 0, 0)} where r = the chain rule (a) Verify that Hint: first show that then use (b) Show that div(F 0. (c) Suppose that S is a closed surface in R3 that does not enclose the origin. Show that the flux of F through S is zero. Hint: since the interior of S does not contain...
(1 point) Let F(2, y, z) be a vector field, and let S be a closed surface. Also, let D be the region inside S. Which of the following describe the Divergence Theorem in words? Select all that apply. L A. The outward flux of F(x, y, z) across S equals the triple integral of the divergence of F(2, y, z) on D. IB. The outward flux of F(x, y, z) across S equals the surface integral of the divergence...
Most questions answered within 3 hours.
-
Please use Barney's VRIO framework of analysis to evaluate a
firm's competencies. Please choose a specific...
asked 6 minutes ago -
Where would you expect to have diabetes contributing to the most
DALYs in 2035, according to...
asked 7 minutes ago -
1.) Major league baseball salaries averaged $1.5 million with a
standard deviation of $1 million in...
asked 16 minutes ago -
A hedge fund is holding a three-year,
$10 million face value 6 percent annual coupon bond...
asked 28 minutes ago -
The focal length of a makeup (concave) mirror is 0.48 m. What
magnification does this mirror...
asked 32 minutes ago -
TRUE/FALSE
Long-lived assets that are tangible in nature, used in the
operations of the business, and...
asked 32 minutes ago -
A dragon biologist is setting up an experimental population of
1000 individuals. In dragons, pointy crests...
asked 43 minutes ago -
A uniform thin rod of length 0.851 m is hung from a horizontal
nail passing through...
asked 53 minutes ago -
A 747 has a cruising speed of 235 m/s at a height of 10,700
meters. The...
asked 1 hour ago -
Part 3: Arrows
Write a python program that prompts the user for a number of
columns,...
asked 1 hour ago -
Need help answering these questions!!
1. What economic concept do you find most interesting in
Macroeconomics?...
asked 1 hour ago -
1. Nimbus, Inc. produces and sells brooms. This table shows the
relationship between the number of...
asked 1 hour ago