Proof In Exercises 31 and 32, prove the identity, assuming that Q, S, and N meet the conditions of the Divergence Theorem and that the required partial derivatives of the scalar functions f and g are continuous. The expressions and are the derivatives in the direction of the vector N and are defined by

[Hint: Use div ]

answer

watching

views

For unlimited access to Homework Help, a Homework+ subscription is required.

You have 0 free answers left.
Get unlimited access to 3.8 million step-by-step answers.

Get unlimited access

Already have an account? Log in

Joram GuingguingLv10

18 Aug 2020

Unlock all answers

Get 1 free homework help answer.

Already have an account? Log in

Related questions

Proof In Exercises 31 and 32, prove the identity, assuming that Q, S, and N meet the conditions of the Divergence Theorem and that the required partial derivatives of the scalar functions f and g are continuous. The expressions and are the derivatives in the direction of the vector N and are defined by

[ Hint: Use Exercise 31 twice.]

g are the derivatives in the direction of the outward normal vector N of C and are defined by

Green’s first identity:

[Hint: Use the second alternative form of Green’s Theorem and the property div

Proof In Exercises 51 and 52, prove the identity, where R is a simply connected region with piecewise smooth boundary C. Assume that the required partial derivatives of the scalar functions f and g are continuous. The expressions and are the derivatives in the direction of the outward normal vector N of C and are defined by and .