(b) Solve the following systems of linear equations using Jacobi iteration method. \[ \begin{array}{l}\text { (8 marks } \\ 10.27 x_{1}-1.23 x_{2}+0.67 x_{3}=4.27 \\ 2.39 x_{1}-12.65 x_{2}+1.13 x_{3}=1.26 \\ 1.79 x_{1}+3.61 x_{2}+15.11 x_{3}=1.27\end{array} \]

Determine whether the function is one-to-one. If it is, find a formula for its inverse. \( f(x)=2 x-3 \) Is the function one-to-one? Yes Nind a formula for the inverse if it exists. Select the correct choice below and fill in any answer boxes within your choice. A. \( f^{-1}(x)=\square \) (Simplify your answer.) B. There is no inverse function.

Solve the exponential equation. \( e^{-c}=5^{4 c} \) Select the correct choice below and fill in any answer boxes in your choice. A. \( c=\square \) (Type an integer or a decimal. Do not round until the final answer. Then round to three decimal places as neede B. The solution is not a real number.

Solve the quadratic equation by completing the square. \[ x^{2}-10 x+18=0 \] First, choose the appropriate form and fill in the blanks with the correct numbers. Then, solve the equation. Simplify your answer as much as possible. If there is more than one solution, separate them with commas. Form: Solution: \( x=\square \) \( (x-\square)^{2}=\square \)

Duid het juiste an \( f(x)=3 x^{2}+6 \)

Solve for \( x \). \( \log _{2}(2 x-1)=4 \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is \( x=\square \). (Type an exact answer in simplified form. Use a comma to separate answers as needed.) B. The solution is not a real number.