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11 Jun 2020
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 .
Green’s second identity:
(Hint: Use Green’s first identity from Exercise 51 twice.)
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 .
Green’s second identity:
(Hint: Use Green’s first identity from Exercise 51 twice.)
Joram GuingguingLv10
20 Aug 2020