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## Sample Document Text

MTH 119 - Spring - 2005
Essex County College - Division of Mathematics
Test # 11 - Created February 22, 2005
Name:
Signature:
Show all work clearly and in order, and box your final answers. Justify your answers alge-
braically whenever possible. You have at most 80 minutes to take this 100 point exam, each
question is worth 10 points. No cellular phones allowed.
1. Given the following linear system
??
?
2x ? y + 4z = ?3
x ? 2y ? 10z = ?6
3x + 4z = 7
(a) Write the augmented matrix form of this linear system. 7.5 points
(b) Write the matrix equation form of this linear system. 7.5 points
2. Solve for x: log3 (2x?1)?log3 (x?4) = 2 15 points
1This document was prepared by Ron Bannon using LATEX2?.
1
3. Solve for x and y, using the inverse of the coefficient matrix. 15 points
braceleftbigg 2x + y = 1
3x ? y = 4
4. Find the indicated determinant.2 10 points
det
?
?
1 2 3
?1 3 ?2
?3 5 ?3
?
?
5. Solve3 for t: 1000 = 10
parenleftbigg
1+ 0.1552
parenrightbigg52t
15 points
2Must be do...

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