Stewart Precalc 6e Section 10R

1 Review - System of Inequalities · Level 3

Graph the solution set of the system of inequalities. Find the coordinates of all vertices, and determine whether the solution set is bounded or unbounded. \(\begin{cases} x^2 + y^2 < 9 \\ x + y < 0 \end{cases}\)

2 Review - System of Inequalities · Level 3

Graph the solution set. \(\begin{cases} y - x^2 \geq 4 \\ y < 20 \end{cases}\)

3 Review - System of Inequalities · Level 3

Graph the solution set. \(\begin{cases} x \geq 0 \\ y \geq 0 \\ x + 2y \leq 12 \\ y \leq x + 4 \end{cases}\)

4 Review - System of Inequalities · Level 3

Graph the solution set. \(\begin{cases} x \geq 4 \\ x + y \geq 24 \\ x \leq 2y + 12 \end{cases}\)

5 Review - Parametric Solution · Level 3

Solve for \(x\), \(y\), and \(z\) in terms of \(a\), \(b\), and \(c\). \(\begin{cases} -x + y + z = a \\ x - y + z = b \\ x + y - z = c \end{cases}\)

6 Review - Parametric Solution · Level 4

Solve for \(x\), \(y\), and \(z\) in terms of \(a\), \(b\), and \(c\). \(\begin{cases} a x + b y + c z = a - b + c \\ b x + b y + c z = c \\ c x + c y + c z = c \end{cases}\). Assume \(a \neq b\), \(b \neq c\), \(c \neq 0\).

7 Review - Find Parameter · Level 4

For what values of \(k\) do the following three lines have a common point of intersection? \(\begin{cases} x + y = 12 \\ k x - y = 0 \\ y - x = 2 k \end{cases}\)

8 Review - Find Parameter · Level 4

For what value of \(k\) does the following system have infinitely many solutions? \(\begin{cases} k x + y + z = 0 \\ x + 2 y + k z = 0 \\ -x + 3 z = 0 \end{cases}\)

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