1. Change the equation x² - y² =2 to polar form.

2. Change the equation r = 3cos q to rectangular form.

3. Find the center of mass of the region bounded by y = sin x, y = 0, and between x=0 and x=¹.

4. Graph and find center, verticies, foci and, (if hyperbola, asymptotes).

9x² - 4y² -36x - 24y - 36 = 0

5. Eliminate t and sketch: x = sin t, y = cos² t.

Find the limits:

6.

7.

8. Find the equation of the line containing the points A = (1,4,2), and B = (5,0,2).

Considering the vector A = <1,0,2> and B = <3,-4,2>, find:

9. The unit vector in the direction of A.

10. The projection of A onto B.

11. The angle between A and B.

12. A X B

20 points Bonus : Find the equation of the line thru P = (4,-1,0) and perpendicular to both

 

x = 3 + t y = 2 - t z = 2t

x = 4 y = 2 + s z = -1 + s