Show that for any differentiable function g(τ), u(x, z, t) = g(t − px − ηz), where p is a constant and η = /v 2 − p2, satisfies the 2d wave equation ∂2u+∂2u= 1 ∂2u. ∂x2 ∂z2 v2 ∂t2 also show that u(x, z, t) is a plane wave traveling at a horizontal (x-direction) slowness of p.

Amanager recorded the number of bicycles sold by his company each quarter. his projected sales after t years is given by the expression below. which of the following statements best describes the expression? a. the initial sales of 575 bicycles increases at the rate of 4% over 4 quarters. b. the initial sales of 575 bicycles increases at the rate of 18% over 4 years. c. the initial sales of 575 bicycles increases at the rate of 4% over t quarters. d. the initial sales of 575 bicycles increases at the rate of 18% over t years.

Which equation shows the quadratic formula used correctly to solve 5x2 + 3x -4 0 for x? cos -3+ v (3) 2-4() 2(5) 3+ |(3)² +4() 205) 3+ (3) 2-4() -3+ v (3)² +4()

Determine which postulate or theorem can be used to prove that lmn =nmo