Question

4.Given F(x,y,z)=(cos(y))i+(sin(y))j+k, find divF and curlF at P0(π/4,π,0) divF(P0)=? curlF(P0)= ?

4.Given F(x,y,z)=(cos(y))i+(sin(y))j+k, find divF and curlF at P0(π/4,π,0) divF(P0)=? curlF(P0)= ?

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

In this question I have used formula to find divergence and curl of the given vector field. Hope you understand the solution.

Thank you

Please like

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
F(x, y, z) = sin y i + (x.cos y + cos z) j – y.sinz...
F(x, y, z) = sin y i + (x.cos y + cos z) j – y.sinz k a) Determine whether or not the vector field is conservative. b) If it is conservative, find the function f such that F = ∇f .
Let S be the portion of the surface z=cos(y) with 0≤x≤4 and -π≤y≤π. Find the flux...
Let S be the portion of the surface z=cos(y) with 0≤x≤4 and -π≤y≤π. Find the flux of F=<e^-y,2z,xy> through S: ∫∫F*n dS
Let F~ (x, y, z) = x cos(x 2 + y 2 − z 2 )~i...
Let F~ (x, y, z) = x cos(x 2 + y 2 − z 2 )~i + y cos(x 2 + y 2 − z 2 )~j − z cos(x 2 + y 2 − z 2 ) ~k be the force acting on a particle at location (x, y, z). Under this force field, the particle is moved from the point P = (1, 1, 1) to Q = (0, 0, √ π). What is the work done by...
Compute the line integral of f(x, y, z) = x 2 + y 2 − cos(z)...
Compute the line integral of f(x, y, z) = x 2 + y 2 − cos(z) over the following paths: (a) the line segment from (0, 0, 0) to (3, 4, 5) (b) the helical path → r (t) = cos(t) i + sin(t) j + t k from (1, 0, 0) to (1, 0, 2π)
Evaluate the following. f(x, y) = x + y S: r(u, v) = 5 cos(u) i...
Evaluate the following. f(x, y) = x + y S: r(u, v) = 5 cos(u) i + 5 sin(u) j + v k, 0 ≤ u ≤ π/2, 0 ≤ v ≤ 3
1. Find the area between the curve f(x)=sin^3(x)cos^2(x) and y=0 from 0 ≤ x ≤ π...
1. Find the area between the curve f(x)=sin^3(x)cos^2(x) and y=0 from 0 ≤ x ≤ π 2. Find the surface area of the function f(x)=x^3/6 + 1/2x from 1≤ x ≤ 2 when rotated about the x-axis.
Identify the surface with parametrization x = 3 cos θ sin φ, y = 3 sin...
Identify the surface with parametrization x = 3 cos θ sin φ, y = 3 sin θ sin φ, z = cos φ where 0 ≤ θ ≤ 2π and 0 ≤ φ ≤ π. Hint: Find an equation of the form F(x, y, z) = 0 for this surface by eliminating θ and φ from the equations above. (b) Calculate a parametrization for the tangent plane to the surface at (θ, φ) = (π/3, π/4).
For the given function u(x, y) = cos(ax) sinh(3y),(a > 0); (a) Find the value of...
For the given function u(x, y) = cos(ax) sinh(3y),(a > 0); (a) Find the value of a such that u(x, y) is harmonic. (b) Find the harmonic conjugate of u(x, y) as v(x, y). (c) Find the analytic function f(z) = u(x, y) + iv(x, y) in terms of z. (d) Find f ′′( π 4 − i) =?
Given r(t)=sin(t)i+cos(t)j−ln(cos(t))k, find the unit normal vector N(t) evaluated at t=0,N(0).
Given r(t)=sin(t)i+cos(t)j−ln(cos(t))k, find the unit normal vector N(t) evaluated at t=0,N(0).
Let F (x, y) = 2xyi + (x – 2y)j, r (t) = sin ti –...
Let F (x, y) = 2xyi + (x – 2y)j, r (t) = sin ti – 2 cos t j, 0 ≤ t ≤ π. Then C F•dr is
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT