Problems for next week:

Exam problem sets for next week: Spring 2011 and Spring 2014.

Before you do those, you should likely do a couple of quadratic approximation problems, and maybe also a couple involving homogeneity. 

• For homogeneity: Give a simple argument why a homogeneous f(x ,y) can be written as x^k u(y/x) as long as x>0, where k is the degree of homogeneity.
  (Hint: f(x,xy/x) = ... ?)
• Do Problem 22 part (d), which concerns quadratic approximation.  Parts abc will likely not be given priority.
• Find the quadratic approximation of ln(1+x²) around x = 0. Compare it to the first-order approximation of ln(1+x). Comment?
• Find the quadratic approximation of ln(1+ e^x) around ln 2.