Graph and find Foci, Verticies, and asymptotes (if hyperbola).

1. x² - 6x+5 = 0

2. 4x² - y² -40x - 2y + 95 = 0

3. 9x² + 4y² - 18x + 24y + 9 = 0

4. Find the equation of the ellipse with verticies (2,6) and (2,-4), and focus (2,-3).

5. Find the equation(s) of the line(s) tangent to x²  - y² = 9 at (-5,-4).

Eliminate the parameter t and sketch:

6. x = sin t, y = sin ² t

7. x = 2 - cos q, y = 3 + 4sin q

8. Find dy/dx and d²y/dx² of x = t² +3 t, y = t² - 3t.

9. Find the length of the arc of the curve , , from y = 1 to y = 3

10. Find the area of the surface obtained by revolving from x = 1 to x = e about the y axis.

10 Pts Bonus:

Find the equation(s) of the line(s) containing (9,9) and tangent to x² - y² = 9 .