Surface integrals of vector fields Find the flux of the following vector fields across the given surface with the specified orientation. You may use either an explicit or parametric description of the surface . 47. F = r / | r | 3 across the sphere of radius a centered at the origin, where r = 〈 x , y , z 〉; normal vectors point outward.
Surface integrals of vector fields Find the flux of the following vector fields across the given surface with the specified orientation. You may use either an explicit or parametric description of the surface . 47. F = r / | r | 3 across the sphere of radius a centered at the origin, where r = 〈 x , y , z 〉; normal vectors point outward.
Surface integrals of vector fieldsFind the flux of the following vector fields across the given surface with the specified orientation. You may use either an explicit or parametric description of the surface.
47.
F
=
r
/
|
r
|
3
across the sphere of radius a centered at the origin, where r = 〈x, y, z〉; normal vectors point outward.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
Find a unit normal vector to the surface f(x, y, z) = 0 at the point P(-2, -5, -35) for the function
-5x
5y - z
f(x, y, z) = ln
Please write your answer as a vector (a, b, c) with a negative z component, and show your answer accurate
to 4 decimal places
n=
- Question Help: Video
Submit Question
Find a unit normal vector to the surface at the given point. [Hint: Normalize the gradient vector VF(x, y, z).]
Surface
Point
(3, -2, 27)
z - x3
Fur
Find the area of the surface.
Syr
The helicoid (or spiral ramp) with vector equation r(u, v) = u cos(v) i + u sin(v) j + v k, 0 s u s 1, 0 s vs 5x.
Chapter 17 Solutions
Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition)
University Calculus: Early Transcendentals (4th Edition)
Precalculus Enhanced with Graphing Utilities
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.