### Self Study: Equations

#### Problem (1)

Determine the values for a, b, and c to 0.1 for the following equations.

2a - 4b + 3c = 14.5

-a + 2b + c = -6.0

5a - b - 4c = 8.0

#### Problem (2)

A +4.0% grade is followed by a -2.0% grade on a vertical alignment. Using the information shown below, what are the station and elevation of the PVI?

Use a Taylor Series approximation to compute the variable values in** Problems 3 **and **4**. Determine to 0.1.

#### Problem (3)

0.5x^{3 }- 4x^{2} + 2.5x = -79.2

Start with x_{o}= -2

#### Problem (4)

Start with x_{o} = 5 and y_{o} = -7