When gradient is parallel to position vector Suppose that

Chapter , Problem 97PE

(choose chapter or problem)

When gradient is parallel to position vector   Suppose that \(\nabla f(x, y, z)\) is always parallel to the position vector \(x i+y j+z k\). Show that \(f(0, 0, a) = f(0, 0, -a) \) for any \(a\).

Equation Transcription:

Text Transcription:

nabla f(x, y, z)

xi + yj + zk

f(0, 0, a) = f(0, 0, -a)

a.

Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.

Becoming a subscriber
Or look for another answer

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back