Question

Given the function f(x,y) = eˣ sin y For the point p = (1,π/6) find the tylor polynomial

T₃f(p) of the function f at p in terms of (x,y) = (1 + h, π/6 + k ).

Answer 1

The question is about finding the third-degree Taylor polynomial for a function at a specified point, which involves calculus and partial derivatives, but the provided information relates to wave equations and does not match the original question.

Step-by-step explanation:

The student's question pertains to determining the Taylor polynomial T3f(p) of the given function f(x,y) = ex sin y at the point p = (1, π/6) and expressing it in terms of (x,y) = (1 + h, π/6 + k). To find such a Taylor polynomial, one would have to calculate the partial derivatives of the function up to the third order and evaluate them at the point p. These derivatives are then used in the Taylor polynomial formula. However, this does not match any of the wave equation questions provided in the inquiry, which seem to concern different concepts entirely, such as wave interference, wave functions, and the linear wave equation.