Quadratic Functions, Equations and Inequalities

The roots of \(2x^2-7x+3=0\) are \(\alpha\) and \(\beta\).
Without finding the individual roots, calculate:

1. \(\alpha+\beta\) and \(\alpha\beta\);

2. \(\alpha^2+\beta^2\);

3. \(\displaystyle\frac1\alpha+\frac1\beta\).