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Problem 8

In Exercises \(1-10,\) plot each complex number and find its absolute value. $$ z=4-i $$

Problem 9

In Exercises \(1-10,\) plot each complex number and find its absolute value. $$ z=-3+4 i $$

Problem 9

In Exercises 9–16, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. $$ A=44^{\circ}, B=25^{\circ}, a=12 $$

Problem 9

Solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. $$a=5, b=7, C=42^{\circ}$$

Problem 9

Test for symmetry with respect to a. the polar axis. b. the line \(\theta=\frac{\pi}{2}\) c. the pole. $$ r=4+3 \cos \theta $$

Problem 9

Let $$\mathbf{u}=2 \mathbf{i}-\mathbf{j}, \quad \mathbf{v}=3 \mathbf{i}+\mathbf{j}, \quad \text { and } \quad \mathbf{w}=\mathbf{i}+4 \mathbf{j}$$ Find each specified scalar. $$ \mathbf{u} \cdot(\mathbf{v}+\mathbf{w}) $$

Problem 10

In Exercises 9–16, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. $$ A=56^{\circ}, C=24^{\circ}, a=22 $$

Problem 10

Test for symmetry with respect to a. the polar axis. b. the line \(\theta=\frac{\pi}{2}\) c. the pole. $$ r=2 \cos 2 \theta $$

Problem 10

In Exercises \(1-10,\) plot each complex number and find its absolute value. $$ z=-3-4 i $$

Problem 10

Let $$\mathbf{u}=2 \mathbf{i}-\mathbf{j}, \quad \mathbf{v}=3 \mathbf{i}+\mathbf{j}, \quad \text { and } \quad \mathbf{w}=\mathbf{i}+4 \mathbf{j}$$ Find each specified scalar. $$ \mathbf{v} \cdot(\mathbf{u}+\mathbf{w}) $$

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