Question 1

Draw a sketch to represent the vector. Refer to the vectors pictured here.  
-$$a + ( c + d )$$

Accepted Answer

A)   
B)   
A)   
B)

Question 2

Find the missing parts of the triangle.
-$$\begin{array} { l } 
\mathrm { A } = 10.5 ^ { \circ } \
\mathrm { a } = 149 \mathrm { ft } \
\mathrm { b } = 176 \mathrm { ft }
\end{array}$$
If necessary, round angles to the nearest tenth and side lengths to the nearest foot.

Accepted Answer

A)  $\mathrm { B } _ { 1 } = 12.4 ^ { \circ } , \mathrm { C } _ { 1 } = 157.1 ^ { \circ } , \mathrm { c } 1 = 318 \mathrm { ft }$ 
B)  no such triangle
$$\mathrm { B } _ { 2 } = 167.6 ^ { \circ } , \mathrm { C } _ { 2 } = 1.9 ^ { \circ } , \mathrm { c } _ { 2 } = 27 \mathrm { ft }$$ 
C)  $\mathrm { B } _ { 1 } = 157.1 ^ { \circ } , \mathrm { C } _ { 1 } = 12.4 ^ { \circ } , \mathrm { c } 1 = 318 \mathrm { ft }$ 
D)  $\mathrm { B } = 12.4 ^ { \circ } , \mathrm { C } = 157.1 ^ { \circ } , \mathrm { c } = 318 \mathrm { ft }$ $B _ { 2 } = 1.9 ^ { \circ } , C _ { 2 } = 167.6 ^ { \circ } , c _ { 2 } = 27 \mathrm { ft }$ 
A)  $\mathrm { B } _ { 1 } = 12.4 ^ { \circ } , \mathrm { C } _ { 1 } = 157.1 ^ { \circ } , \mathrm { c } 1 = 318 \mathrm { ft }$ 
B)  no such triangle
$$\mathrm { B } _ { 2 } = 167.6 ^ { \circ } , \mathrm { C } _ { 2 } = 1.9 ^ { \circ } , \mathrm { c } _ { 2 } = 27 \mathrm { ft }$$ 
C)  $\mathrm { B } _ { 1 } = 157.1 ^ { \circ } , \mathrm { C } _ { 1 } = 12.4 ^ { \circ } , \mathrm { c } 1 = 318 \mathrm { ft }$ 
D)  $\mathrm { B } = 12.4 ^ { \circ } , \mathrm { C } = 157.1 ^ { \circ } , \mathrm { c } = 318 \mathrm { ft }$ $B _ { 2 } = 1.9 ^ { \circ } , C _ { 2 } = 167.6 ^ { \circ } , c _ { 2 } = 27 \mathrm { ft }$

Question 3

Find the component form of the indicated vector.
-Let $\mathbf { u } = \langle - 2 , - 6 \rangle , \mathbf { v } = \langle - 5,6 \rangle$. Find $- \mathbf { u } - \mathbf { v }$.

Accepted Answer

A)  $\langle 7,0 \rangle$ 
B)  $\langle - 7,0 \rangle$ 
C)  $\langle 3 , - 12 \rangle$ 
D)  $\langle - 3,12 \rangle$ 
A)  $\langle 7,0 \rangle$ 
B)  $\langle - 7,0 \rangle$ 
C)  $\langle 3 , - 12 \rangle$ 
D)  $\langle - 3,12 \rangle$

Question 4

The graph of a polar equation is given. Select the polar equation for the graph.
-

Accepted Answer

A)  $r \sin \theta = - 1$ 
B)  $r = - 2 \sin \theta$ 
C)  $\mathrm { r } = - 1$ 
D)  $\mathrm { r } = - 2 \cos \theta$ 
A)  $r \sin \theta = - 1$ 
B)  $r = - 2 \sin \theta$ 
C)  $\mathrm { r } = - 1$ 
D)  $\mathrm { r } = - 2 \cos \theta$

Question 5

Find the given power. Write answer in rectangular form.
-$( - \sqrt { 3 } + i ) ^ { 6 }$

Accepted Answer

A)  $- 64$ 
B)  $64 - 64 \sqrt { 3 } \mathrm { i }$ 
C)  $- 64 \sqrt { 3 } + 64 \mathrm { i }$ 
D)  $64 \mathrm { i }$ 
A)  $- 64$ 
B)  $64 - 64 \sqrt { 3 } \mathrm { i }$ 
C)  $- 64 \sqrt { 3 } + 64 \mathrm { i }$ 
D)  $64 \mathrm { i }$

Question 6

Find the given power. Write answer in rectangular form.
-$( - i ) ^ { 11 }$

Accepted Answer

A)  $i$ 
B)  1 
C)  $- \mathrm { i }$ 
D)  $- 1$ 
A)  $i$ 
B)  1 
C)  $- \mathrm { i }$ 
D)  $- 1$

Draw a sketch to represent the vector. Refer to the vectors pictured here. - $a + ( c + d )$

Find the missing parts of the triangle. - =10. =149 =176 If necessary, round angles to the nearest tenth and side lengths to the nearest foot.

Find the component form of the indicated vector. -Let $\mathbf { u } = \langle - 2 , - 6 \rangle , \mathbf { v } = \langle - 5,6 \rangle$ . Find $- \mathbf { u } - \mathbf { v }$ .

The graph of a polar equation is given. Select the polar equation for the graph. -

Find the given power. Write answer in rectangular form. - $( - \sqrt { 3 } + i ) ^ { 6 }$

Find the given power. Write answer in rectangular form. - $( - i ) ^ { 11 }$

Equations and Inequalities

Graphs and Functions

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Review of Basic Concepts

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Exam 8: Applications of Trigonometry

Draw a sketch to represent the vector. Refer to the vectors pictured here. - a+(c+d)a + ( c + d )a+(c+d)