Calculus Test Chapter 11

Calculus Test--Chapter 11

Identify the following:

______________1. x + y = 6

______________2. x² + y² + z² = 6

______________3. 3x² + y² + z² = 6

______________4. 3x² + y² = z²

______________5. 3x² + y² - z² = 6

______________6. 3x² - y² - z² = 6

______________7. 3x² + y² = 6

______________8. 3x² - y² = 8

______________9. 3y² = x

_____________10. y = x² + z²

_____________11. z = x² - y²

_____________12. r = 8

_____________13. f = p /3

_____________14. z = 6

_____________15. r = 4 cos f

Answer the following:

_____________16. Change the cylindrical coordinates ( 3, -p /4, 1) to

rectangular coordinates.

_____________17. Change the spherical coordinates ( 6, p , p /2) to

rectangular coordinates.

_____________18. Change the rectangular equation, x² + y² = z to

cylindrical coordinates.

_____________19. Change the rectangular equation, x² + y² = z to

spherical coordinates.

_____________20. Convert the spherical equation r = csc f to rectangular

coordinates.

_____________21. Write the parametric equations of the line that passes

through (1, 2, 3) and is parallel to the line x = y = z.

_____________22. Write the equation of the plane that passes through

(1, 2, 3), (3, 2, 1) and (-1, -2, 2).

_____________23. Write the symmetric equations of the line passing

through (-3, 5, 4) and parallel to the line

x = 3 + 3t

y = 5 - 2t

z = -7 + t

_____________24. Write the equation of the plane that passes through

(2, 3, 6) and is parallel to the xy-plane.

_____________25. Write the plane containing the lines given by

(x-1)/4= y - 4 = z and (x-2)/-3 = (y - 1)/4 = (z-2)/-1.