Mathematics, 16.12.2020 07:40 chandlerstandi8294

Recall that the Laplacian of a function f : R3 → R is defined by ∆f = div(∇f). (a) Prove that ∆(fg) = f∆g + g∆f + 2∇f · ∇g.
(b) Show that div(f∇g − g∇f) = f∆g − g∆f.

Answers

Answer from: Quest

you can use a^2+ b^2=c^2

Answer from: Quest

slope = (y2 -y1) ÷ (x2 -x1)

slope = (0 -0) / (-5, -7)

slope = 0 / -12 = 0

the slope of the line is zero. it is perfectly horizontal.

step-by-step explanation:

Answer from: Quest

step-by-step explanation:

given

height = 168 cm

formula

height =2.47*f+54.13

solution

168 = 2.47f + 54.13 subtract 54.13 from both sides

168 - 54.13 = 2.47f combine

113.87 = 2.47f divide by 2.47

113.87 / 2.47 = f combine

46.1 = f

answer: 46 cm

Answer from: Quest

you a real one for tat answer

step-by-step explanation:

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Recall that the Laplacian of a function f : R3 → R is defined by ∆f = div(∇f). (a) Prove that ∆(fg)...