Use multivariable calculus ONLY - thanks

If we immerse a flat metal plate in water with a temperature T= 0, then the temperature T of the plate at position (x,y and at time t is modeled by the two-dimensional heat equation Ot where k>0 is a constant of thermal conductivity. Note that if - is held constant, T(x,y,to) is a surface in space, and gives the temperature at each point of the plate at time a) Show that the function T(x,y,t)-e(cos(x)+cosy)) satisfies the ? two-dimensional heat equation. What happens to Tas t Use a computer program (either an online app, or a program like MATLAB or Mathematica) to draw the surface T(x, y,0), which represents the temperature at each point of the plate when the plate is initially immersed in the water. Print your drawing out, and discuss the important features of the graph. b)