# Past Exam for MTH 119 - Pre-Calculus I at Essex County College (ESSEX)

## Exam Information

 Material Type: Exam 1 Professor: Staff Class: MTH 119 - Pre-Calculus I Subject: Mathematics University: Essex County College Term: Spring 2005 Keywords: Matrix EquationCoefficient MatrixLinear SystemFinal AnswersDeterminantYou Have...InequalitiesAugmented MatrixDecimal PlacesMathematics   ## 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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