#include <math.h>

double em(double x)
{
  return(exp(-0.1*x)*sin((1.0 - 0.2*x)*x + 2.0));
}

double emp(double x)
{
  double w;

  w = 1.0 - 0.2*x;
  return(exp(-0.1*x)*(-0.1*sin(w*x + 2.0) + cos(w*x + 2.0)*(-0.2*x + w)));
}