Question: Verify (9) for f = x 2 , g = y 4 , S the unit cube in Prob. 3. Data from Prob. 3 Verify

Verify (9) for f = x², g = y⁴, S the unit cube in Prob. 3.

Data from Prob. 3

Verify (8) for f = 4y², g = x², S the surface of the “unit cube” 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, 0 ≤ z ≤ 1. What are the assumptions on f and g in (8)? Must f and g be harmonic?

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