Name: _____________________________________________________________

5 pages of notes allowed.

1. On a line x_{1} - x_{2} = 1, find a
point which is the closest to the point (3,2). Use the Lagrange
multipliers method.

2. Given the following number of people in each age bracket: [20, 30]: 1, [30, 40]: 2, [40, 50]: 1, compute the interval for the mean age and the upper bound for the variance.