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6 Questions on Quiz 2 for Calculus and Analytic Geometry III | MAT 309, Quizzes of Analytical Geometry and Calculus

Material Type: Quiz; Class: Calculus and Analytic Geometry III; Subject: MAT Mathematics; University: Murray State University; Term: Unknown 1989;

Typology: Quizzes

Pre 2010

Uploaded on 08/19/2009

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Quiz/worksheet #2 MAT 309-1
Name........................................
Name........................................
Name........................................
Please show ALL of your work clearly and neatly. No work = No credit. Your group size
may have AT MOST 3 people.
1. Find parametric equations for the following lines:
(a) The line through (4,1,2) and (1,1,5)
(b) The line through (1,0,1) and parallel to the line 1
3(x4) = 1
2y=z+ 2
(c) The line through (2,2,4) and perpendicular to the plane 2xy+ 5z= 12
pf3
pf4

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Quiz/worksheet #2 MAT 309-

Name........................................

Name........................................

Name........................................

Please show ALL of your work clearly and neatly. No work = No credit. Your group size may have AT MOST 3 people.

  1. Find parametric equations for the following lines:

(a) The line through (4, − 1 , 2) and (1, 1 , 5)

(b) The line through (1, 0 , −1) and parallel to the line 13 (x − 4) = 12 y = z + 2

(c) The line through (− 2 , 2 , 4) and perpendicular to the plane 2x − y + 5z = 12

  1. Find an equation for each of the following plane:

(a) The plane through (1, − 2 , 3) and parallel to 4x + 5y − 6 z = 7

(b) The plane through (1, 0 , −1), (0, 1 , −1), and (− 1 , 1 , 0)

(c) The plane through (1, 2 , −1) that contains the line x = 2t, y = 3 − t, z = 1 + 3t

  1. The rectangular coordinates of a point are (2, 2 , −1). Find the cylindrical and spherical coordinates of the point.
  2. Write the equation in cylindrical and spherical coordinates:

(a) x^2 + y^2 + z^2 = 1 (b) x^2 + y^2 + z^2 = 2x