1. For

, evaluate


and

at point
2. For

, evaluate


and

at point
3. . For the equation

find the second partial derivatives



4. For the equation

, find the second partial derivatives



and
5. Investment The value of an investment of $1000 earning 10% compounded annually is given by

where
I is the annual rate of inflation and
R is the tax rate for the person making the investment. Calculate

and

and determine whether the tax rate or rate of inflation is the greater negative factor in the growth of the investment.