Surface waves on water with wavelengths large compared to depth are described by the equatio
d^2h/dx^2 + d^2h/dy^2 = 1/gd . d^2h/dt^2
where g is the acceleration of gravity, d is the equilibrium depth of the water, and h(x, y,t) is the height of the wave above the surface is equilibrium position. what is the speed of traveling waves described by this equation?

Answer with Explanation:

The general wave equation is given by

where

'c' is the velocity of the wave

Comparing with the given equation

We can see that

Thus the velocity of  wave is given by

luster is not a good characteristic to use by itself because luster is the property of minerals that indicates how much the surface of a mineral reflects light. the luster of a mineral is affected by the brilliance of the light used to observe the mineral surface.

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y