Question 1

Find the product or quotient. Write the answer in standard form.
-$$( 8 + 9 i ) ( 5 + 4 i )$$

Accepted Answer

A)  $4 - 77 \mathrm { i }$ 
B)  $36 i ^ { 2 } + 77 i + 40$ 
C)  $76 + 13 \mathrm { i }$ 
D)  $4 + 77 i$ 
A)  $4 - 77 \mathrm { i }$ 
B)  $36 i ^ { 2 } + 77 i + 40$ 
C)  $76 + 13 \mathrm { i }$ 
D)  $4 + 77 i$

Question 2

Express the indicated roots of unity in standard form a + bi.
-Fifth roots of unity

Accepted Answer

A) $\begin{array}{l}
1+0 \mathrm{i} \
\cos \frac{\pi}{5}+\mathrm{i} \sin \frac{\pi}{5} \approx 0.81+0.59 \mathrm{i} \
\cos \frac{2 \pi}{5}+i \sin \frac{2 \pi}{5} \approx 0.31+0.95 \mathrm{i} \
\cos \frac{3 \pi}{5}+i \sin \frac{3 \pi}{5} \approx-0.31+0.95 \mathrm{i} \
\cos \frac{4 \pi}{5}+i \sin \frac{4 \pi}{5} \approx-0.81+0.59 \mathrm{i}
\end{array}$ 
B)  $\begin{array}{l}
1+0 i \
\cos \frac{2 \pi}{5}+i \sin \frac{2 \pi}{5} \approx 0.31+0.95 \mathrm{i} \
\cos \frac{4 \pi}{5}+i \sin \frac{4 \pi}{5} \approx-0.81+0.59 i \
\cos \frac{6 \pi}{5}+i \sin \frac{6 \pi}{5} \approx-0.81-0.59 i \
\cos \frac{8 \pi}{5}+i \sin \frac{8 \pi}{5} \approx 0.31-0.95 \mathrm{i}
\end{array}$ 
C)  $\begin{array}{l}
\cos \frac{2 \pi}{5}+i \sin \frac{2 \pi}{5} \approx 0.31+0.95 \mathrm{i} \
\cos \frac{4 \pi}{5}+i \sin \frac{4 \pi}{5} \approx-0.81+0.59 \mathrm{i} \
\cos \frac{6 \pi}{5}+i \sin \frac{6 \pi}{5} \approx-0.81-0.59 \mathrm{i} \
\cos \frac{8 \pi}{5}+i \sin \frac{8 \pi}{5} \approx 0.31-0.95 \mathrm{i} \
\cos \frac{12 \pi}{5}+i \sin \frac{12 \pi}{5} \approx 0.31+0.95 \mathrm{i}
\end{array}$ 
D)  $\begin{array}{l}
1+0 i \
\cos \frac{2 \pi}{5}+i \sin \frac{2 \pi}{5} \approx 0.31+0.95 i \
\cos \frac{4 \pi}{5}+i \sin \frac{4 \pi}{5} \approx-0.81+0.59 i \
\cos \frac{6 \pi}{5}+i \sin \frac{6 \pi}{5} \approx-0.81-0.59 i \
\cos \frac{8 \pi}{5}+i \sin \frac{8 \pi}{5} \approx 0.31-0.95 i
\end{array}$ 
A) $\begin{array}{l}
1+0 \mathrm{i} \
\cos \frac{\pi}{5}+\mathrm{i} \sin \frac{\pi}{5} \approx 0.81+0.59 \mathrm{i} \
\cos \frac{2 \pi}{5}+i \sin \frac{2 \pi}{5} \approx 0.31+0.95 \mathrm{i} \
\cos \frac{3 \pi}{5}+i \sin \frac{3 \pi}{5} \approx-0.31+0.95 \mathrm{i} \
\cos \frac{4 \pi}{5}+i \sin \frac{4 \pi}{5} \approx-0.81+0.59 \mathrm{i}
\end{array}$ 
B)  $\begin{array}{l}
1+0 i \
\cos \frac{2 \pi}{5}+i \sin \frac{2 \pi}{5} \approx 0.31+0.95 \mathrm{i} \
\cos \frac{4 \pi}{5}+i \sin \frac{4 \pi}{5} \approx-0.81+0.59 i \
\cos \frac{6 \pi}{5}+i \sin \frac{6 \pi}{5} \approx-0.81-0.59 i \
\cos \frac{8 \pi}{5}+i \sin \frac{8 \pi}{5} \approx 0.31-0.95 \mathrm{i}
\end{array}$ 
C)  $\begin{array}{l}
\cos \frac{2 \pi}{5}+i \sin \frac{2 \pi}{5} \approx 0.31+0.95 \mathrm{i} \
\cos \frac{4 \pi}{5}+i \sin \frac{4 \pi}{5} \approx-0.81+0.59 \mathrm{i} \
\cos \frac{6 \pi}{5}+i \sin \frac{6 \pi}{5} \approx-0.81-0.59 \mathrm{i} \
\cos \frac{8 \pi}{5}+i \sin \frac{8 \pi}{5} \approx 0.31-0.95 \mathrm{i} \
\cos \frac{12 \pi}{5}+i \sin \frac{12 \pi}{5} \approx 0.31+0.95 \mathrm{i}
\end{array}$ 
D)  $\begin{array}{l}
1+0 i \
\cos \frac{2 \pi}{5}+i \sin \frac{2 \pi}{5} \approx 0.31+0.95 i \
\cos \frac{4 \pi}{5}+i \sin \frac{4 \pi}{5} \approx-0.81+0.59 i \
\cos \frac{6 \pi}{5}+i \sin \frac{6 \pi}{5} \approx-0.81-0.59 i \
\cos \frac{8 \pi}{5}+i \sin \frac{8 \pi}{5} \approx 0.31-0.95 i
\end{array}$

Question 3

With your calculator set to radian mode and polar graphics capability, graph the following function in the window specified.
-$$r = - \frac { \theta } { 2 } , - \pi \leq \theta \leq 4 \pi , [ - 6,6 ] \text { by } [ - 6,6 ]$$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 4

The polar coordinates of point P are given. Find all of its polar coordinates.
-$$\mathrm { P } = \left( 8 , - 22 ^ { \circ } \right)$$

Accepted Answer

A)  $\left( 8 , - 22 ^ { \circ } + 360 n ^ { \circ } \right)$ or $\left( - 8 , - 22 ^ { \circ } + 360 n ^ { \circ } \right)$ 
B)  $\left( 8 , - 22 ^ { \circ } + 360 n ^ { \circ } \right)$ or $\left( - 8 , - 22 ^ { \circ } + ( 2 n + 1 ) 180 ^ { \circ } \right)$ 
C)  $\left( 8 , - 22 ^ { \circ } + 180 n ^ { \circ } \right)$ or $\left( 8,22 ^ { \circ } + 180 n ^ { \circ } \right)$ 
D)  $\left( 8 , - 22 ^ { \circ } + 360 n ^ { \circ } \right)$ or $\left( 8,22 ^ { \circ } + ( 2 n + 1 ) 180 ^ { \circ } \right)$ 
A)  $\left( 8 , - 22 ^ { \circ } + 360 n ^ { \circ } \right)$ or $\left( - 8 , - 22 ^ { \circ } + 360 n ^ { \circ } \right)$ 
B)  $\left( 8 , - 22 ^ { \circ } + 360 n ^ { \circ } \right)$ or $\left( - 8 , - 22 ^ { \circ } + ( 2 n + 1 ) 180 ^ { \circ } \right)$ 
C)  $\left( 8 , - 22 ^ { \circ } + 180 n ^ { \circ } \right)$ or $\left( 8,22 ^ { \circ } + 180 n ^ { \circ } \right)$ 
D)  $\left( 8 , - 22 ^ { \circ } + 360 n ^ { \circ } \right)$ or $\left( 8,22 ^ { \circ } + ( 2 n + 1 ) 180 ^ { \circ } \right)$

Question 5

Graph the equation.
-r = 4 sin θ

Accepted Answer

A)    
B)    
A)    
B)

Question 6

Solve the problem.
-Find the work done lifting a 231-pound weight 50 feet into the air.

Accepted Answer

A)  No work is done 
B)  4.6 foot-pounds 
C)  1155 foot-pounds 
D)  11,550 foot-pounds 
A)  No work is done 
B)  4.6 foot-pounds 
C)  1155 foot-pounds 
D)  11,550 foot-pounds

Question 7

Find the magnitude and direction angle for the following vector. Give the direction angle as an angle in [0°, 360°) rounded to the nearest tenth.
-$\langle - 10,10 \sqrt { 3 } \rangle$

Accepted Answer

A)  $20,240 ^ { \circ }$ 
B)  $20,120 ^ { \circ }$ 
C)  $30,300 ^ { \circ }$ 
D)  $30,240 ^ { \circ }$ 
A)  $20,240 ^ { \circ }$ 
B)  $20,120 ^ { \circ }$ 
C)  $30,300 ^ { \circ }$ 
D)  $30,240 ^ { \circ }$

Question 8

Graph the equation.
-$r=6 \cos \theta$

Accepted Answer

A) 
  
B) 
  
A) 
  
B)

Question 9

Use the dot product to find $ |\mathbf{v}| $
-$$\mathbf { v } = \langle - 6 , - 8 \rangle$$

Accepted Answer

A)  10 
B)  2 
C)  14 
D)  100 
A)  10 
B)  2 
C)  14 
D)  100

Question 10

Find the component form of the vector v.
-

Accepted Answer

A)  $\approx \langle 25.11,6.73 \rangle$ 
B)  $\approx \langle 0.26,0.97 \rangle$ 
C)  $\approx \langle 6.73,25.11 \rangle$ 
D)  $\approx \langle 10.99,23.56 \rangle$ 
A)  $\approx \langle 25.11,6.73 \rangle$ 
B)  $\approx \langle 0.26,0.97 \rangle$ 
C)  $\approx \langle 6.73,25.11 \rangle$ 
D)  $\approx \langle 10.99,23.56 \rangle$

Question 11

Determine whether the vectors u and v are parallel, orthogonal, or neither.
-$$\mathbf { u } = \langle 5,0 \rangle , \mathbf { v } = \langle 0 , - 6 \rangle$$

Accepted Answer

A)  Neither 
B)  Orthogonal 
C)  Parallel 
A)  Neither 
B)  Orthogonal 
C)  Parallel

Question 12

Use De Moivre's Theorem to find the indicated power of the complex number. Write your answer in standard form a + bi.
-$( - 5 \sqrt { 2 } + 5 \sqrt { 2 } i ) ^ { 3 }$

Accepted Answer

A)  $500 \sqrt { 2 } + 500 \sqrt { 2 } \mathrm { i }$ 
B)  $50 \sqrt { 2 } + 50 \sqrt { 2 } i$ 
C)  $5 \sqrt { 2 } + 5 \sqrt { 2 } \mathrm { i }$ 
D)  $15 \sqrt { 2 } + 15 \sqrt { 2 } i$ 
A)  $500 \sqrt { 2 } + 500 \sqrt { 2 } \mathrm { i }$ 
B)  $50 \sqrt { 2 } + 50 \sqrt { 2 } i$ 
C)  $5 \sqrt { 2 } + 5 \sqrt { 2 } \mathrm { i }$ 
D)  $15 \sqrt { 2 } + 15 \sqrt { 2 } i$

Question 13

Determine two pairs of polar coordinates for the point with 0° ≤θ < 360°.
-$( - 15,5 \sqrt { 3 } )$

Accepted Answer

A)  $\left( 10 \sqrt { 3 } , 30 ^ { \circ } \right) , \left( - 10 \sqrt { 3 } , 330 ^ { \circ } \right)$ 
B)  $\left( 10 \sqrt { 3 } , 120 ^ { \circ } \right) , \left( - 15 \sqrt { 3 } , 240 ^ { \circ } \right)$ 
C)  $\left( 10 \sqrt { 3 } , 150 ^ { \circ } \right) , \left( - 10 \sqrt { 3 } , 330 ^ { \circ } \right)$ 
D)  $\left( 10 \sqrt { 3 } , 60 ^ { \circ } \right) , \left( - 10 \sqrt { 3 } , 300 ^ { \circ } \right)$ 
A)  $\left( 10 \sqrt { 3 } , 30 ^ { \circ } \right) , \left( - 10 \sqrt { 3 } , 330 ^ { \circ } \right)$ 
B)  $\left( 10 \sqrt { 3 } , 120 ^ { \circ } \right) , \left( - 15 \sqrt { 3 } , 240 ^ { \circ } \right)$ 
C)  $\left( 10 \sqrt { 3 } , 150 ^ { \circ } \right) , \left( - 10 \sqrt { 3 } , 330 ^ { \circ } \right)$ 
D)  $\left( 10 \sqrt { 3 } , 60 ^ { \circ } \right) , \left( - 10 \sqrt { 3 } , 300 ^ { \circ } \right)$

Question 14

Eliminate the parameter.
-$$x = t - 3 , y = t ^ { 2 } + 5$$

Accepted Answer

A)  $y = x ^ { 2 } - 14$ 
B)  $y = x ^ { 2 } + 14$ 
C)  $y = x ^ { 2 } - 6 x - 14$ 
D)  $y = x ^ { 2 } + 6 x + 14$ 
A)  $y = x ^ { 2 } - 14$ 
B)  $y = x ^ { 2 } + 14$ 
C)  $y = x ^ { 2 } - 6 x - 14$ 
D)  $y = x ^ { 2 } + 6 x + 14$

Question 15

Write the complex number in the form a + bi.
-$\sqrt { 3 } \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)$

Accepted Answer

A)  $\frac { 3 } { 2 } + \frac { \sqrt { 3 } } { 2 } \mathrm { i }$ 
B)  $\frac { 1 } { 2 } + \frac { \sqrt { 3 } } { 2 } \mathrm { i }$ 
C)  $\frac { \sqrt { 3 } } { 2 } + \frac { 3 } { 2 } i$ 
D)  $\frac { \sqrt { 3 } } { 2 } + \frac { 1 } { 2 } \mathrm { i }$ 
A)  $\frac { 3 } { 2 } + \frac { \sqrt { 3 } } { 2 } \mathrm { i }$ 
B)  $\frac { 1 } { 2 } + \frac { \sqrt { 3 } } { 2 } \mathrm { i }$ 
C)  $\frac { \sqrt { 3 } } { 2 } + \frac { 3 } { 2 } i$ 
D)  $\frac { \sqrt { 3 } } { 2 } + \frac { 1 } { 2 } \mathrm { i }$

Question 16

Choose the graph of the given parametric equations.
-$x=6 \sin t, y=6 \cos t, 0 \leq t \leq 2 \pi$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 17

Use your grapher to determine which of the graphs matches the given polar equation.
-$$\mathrm { r } = 5 \sec \theta$$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 18

Plot the point with the given polar coordinates.
-$$\left( 3 , \frac { 7 \pi } { 6 } \right)$$

Accepted Answer

A) 
  
B) 
  
A) 
  
B)

Question 19

Find the indicated roots. Write the answer in a + bi form.
-Cube roots of $- 8$

Accepted Answer

A)  $- 2 , - 1 + \sqrt { 3 } i , - 1 - \sqrt { 3 } i$ 
B)  $- 2,1 + \sqrt { 3 } i , 1 - \sqrt { 3 } i$ 
C)  $- 2 , - 1 - \sqrt { 3 } i , 1 - \sqrt { 3 } i$ 
D)  $- 2,1 + \sqrt { 3 } i , - 1 - \sqrt { 3 } i$ 
A)  $- 2 , - 1 + \sqrt { 3 } i , - 1 - \sqrt { 3 } i$ 
B)  $- 2,1 + \sqrt { 3 } i , 1 - \sqrt { 3 } i$ 
C)  $- 2 , - 1 - \sqrt { 3 } i , 1 - \sqrt { 3 } i$ 
D)  $- 2,1 + \sqrt { 3 } i , - 1 - \sqrt { 3 } i$

Question 20

Choose the graph of the given parametric equations.
-$x=2 t-1, y=t 2+6,-4 \leq t \leq 4$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Find the product or quotient. Write the answer in standard form. - $( 8 + 9 i ) ( 5 + 4 i )$

Express the indicated roots of unity in standard form a + bi. -Fifth roots of unity

With your calculator set to radian mode and polar graphics capability, graph the following function in the window specified. - $r = - \frac { \theta } { 2 } , - \pi \leq \theta \leq 4 \pi , [ - 6,6 ] \text { by } [ - 6,6 ]$

The polar coordinates of point P are given. Find all of its polar coordinates. - $\mathrm { P } = \left( 8 , - 22 ^ { \circ } \right)$

Graph the equation. -r = 4 sin θ

Solve the problem. -Find the work done lifting a 231-pound weight 50 feet into the air.

Find the magnitude and direction angle for the following vector. Give the direction angle as an angle in [0°, 360°) rounded to the nearest tenth. - $\langle - 10,10 \sqrt { 3 } \rangle$

Graph the equation. - $r=6 \cos \theta$ $Graph the equation. - r=6 \cos \theta$

Use the dot product to find $|\mathbf{v}|$ - $\mathbf { v } = \langle - 6 , - 8 \rangle$

Find the component form of the vector v. -

Determine whether the vectors u and v are parallel, orthogonal, or neither. - $\mathbf { u } = \langle 5,0 \rangle , \mathbf { v } = \langle 0 , - 6 \rangle$

Use De Moivre's Theorem to find the indicated power of the complex number. Write your answer in standard form a + bi. - $( - 5 \sqrt { 2 } + 5 \sqrt { 2 } i ) ^ { 3 }$

Determine two pairs of polar coordinates for the point with 0° ≤θ < 360°. - $( - 15,5 \sqrt { 3 } )$

Eliminate the parameter. - $x = t - 3 , y = t ^ { 2 } + 5$

Write the complex number in the form a + bi. - $\sqrt { 3 } \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)$

Choose the graph of the given parametric equations. - $x=6 \sin t, y=6 \cos t, 0 \leq t \leq 2 \pi$ $Choose the graph of the given parametric equations. - x=6 \sin t, y=6 \cos t, 0 \leq t \leq 2 \pi$

Use your grapher to determine which of the graphs matches the given polar equation. - $\mathrm { r } = 5 \sec \theta$

Plot the point with the given polar coordinates. - $\left( 3 , \frac { 7 \pi } { 6 } \right)$ $Plot the point with the given polar coordinates. - \left( 3 , \frac { 7 \pi } { 6 } \right)$

Find the indicated roots. Write the answer in a + bi form. -Cube roots of $- 8$

Choose the graph of the given parametric equations. - $x=2 t-1, y=t 2+6,-4 \leq t \leq 4$ $Choose the graph of the given parametric equations. - x=2 t-1, y=t 2+6,-4 \leq t \leq 4$

Functions and Graphs

Polynomial, Power, and Rational Functions

Exponential, Logistic, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Systems and Matrices

Analytic Geometry in Two and Three Dimensions

Discrete Mathematics

Statistics and Probability

An Introduction to Calculus: Limits, Derivatives, and Integrals

Prerequisites

Filters

Exam 6: Applications of Trigonometry

Find the product or quotient. Write the answer in standard form. - (8+9i)(5+4i)( 8 + 9 i ) ( 5 + 4 i )(8+9i)(5+4i)

Express the indicated roots of unity in standard form a + bi. -Fifth roots of unity

The polar coordinates of point P are given. Find all of its polar coordinates. - P=(8,−22∘)\mathrm { P } = \left( 8 , - 22 ^ { \circ } \right)P=(8,−22∘)

Graph the equation. -r = 4 sin θ

Solve the problem. -Find the work done lifting a 231-pound weight 50 feet into the air.

Find the magnitude and direction angle for the following vector. Give the direction angle as an angle in [0°, 360°) rounded to the nearest tenth. - ⟨−10,103⟩\langle - 10,10 \sqrt { 3 } \rangle⟨−10,103​⟩

Graph the equation. - r=6cos⁡θr=6 \cos \thetar=6cosθ

Use the dot product to find ∣v∣ |\mathbf{v}| ∣v∣ - v=⟨−6,−8⟩\mathbf { v } = \langle - 6 , - 8 \ranglev=⟨−6,−8⟩

Find the component form of the vector v. -

Determine whether the vectors u and v are parallel, orthogonal, or neither. - u=⟨5,0⟩,v=⟨0,−6⟩\mathbf { u } = \langle 5,0 \rangle , \mathbf { v } = \langle 0 , - 6 \rangleu=⟨5,0⟩,v=⟨0,−6⟩

Use De Moivre's Theorem to find the indicated power of the complex number. Write your answer in standard form a + bi. - (−52+52i)3( - 5 \sqrt { 2 } + 5 \sqrt { 2 } i ) ^ { 3 }(−52​+52​i)3

Determine two pairs of polar coordinates for the point with 0° ≤θ < 360°. - (−15,53)( - 15,5 \sqrt { 3 } )(−15,53​)

Eliminate the parameter. - x=t−3,y=t2+5x = t - 3 , y = t ^ { 2 } + 5x=t−3,y=t2+5

Write the complex number in the form a + bi. - 3(cos⁡π3+isin⁡π3)\sqrt { 3 } \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)3​(cos3π​+isin3π​)

Choose the graph of the given parametric equations. - x=6sin⁡t,y=6cos⁡t,0≤t≤2πx=6 \sin t, y=6 \cos t, 0 \leq t \leq 2 \pix=6sint,y=6cost,0≤t≤2π

Use your grapher to determine which of the graphs matches the given polar equation. - r=5sec⁡θ\mathrm { r } = 5 \sec \thetar=5secθ

Plot the point with the given polar coordinates. - (3,7π6)\left( 3 , \frac { 7 \pi } { 6 } \right)(3,67π​)

Find the indicated roots. Write the answer in a + bi form. -Cube roots of −8- 8−8

Choose the graph of the given parametric equations. - x=2t−1,y=t2+6,−4≤t≤4x=2 t-1, y=t 2+6,-4 \leq t \leq 4x=2t−1,y=t2+6,−4≤t≤4

Functions and Graphs

Polynomial, Power, and Rational Functions

Exponential, Logistic, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Systems and Matrices

Analytic Geometry in Two and Three Dimensions

Discrete Mathematics

Statistics and Probability

An Introduction to Calculus: Limits, Derivatives, and Integrals

Prerequisites

Filters

Find the product or quotient. Write the answer in standard form. - $( 8 + 9 i ) ( 5 + 4 i )$

The polar coordinates of point P are given. Find all of its polar coordinates. - $\mathrm { P } = \left( 8 , - 22 ^ { \circ } \right)$

Find the magnitude and direction angle for the following vector. Give the direction angle as an angle in [0°, 360°) rounded to the nearest tenth. - $\langle - 10,10 \sqrt { 3 } \rangle$

Graph the equation. - $r=6 \cos \theta$ $Graph the equation. - r=6 \cos \theta$

Use the dot product to find $|\mathbf{v}|$ - $\mathbf { v } = \langle - 6 , - 8 \rangle$

Determine whether the vectors u and v are parallel, orthogonal, or neither. - $\mathbf { u } = \langle 5,0 \rangle , \mathbf { v } = \langle 0 , - 6 \rangle$

Use De Moivre's Theorem to find the indicated power of the complex number. Write your answer in standard form a + bi. - $( - 5 \sqrt { 2 } + 5 \sqrt { 2 } i ) ^ { 3 }$

Determine two pairs of polar coordinates for the point with 0° ≤θ < 360°. - $( - 15,5 \sqrt { 3 } )$

Eliminate the parameter. - $x = t - 3 , y = t ^ { 2 } + 5$

Write the complex number in the form a + bi. - $\sqrt { 3 } \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)$

Choose the graph of the given parametric equations. - $x=6 \sin t, y=6 \cos t, 0 \leq t \leq 2 \pi$ $Choose the graph of the given parametric equations. - x=6 \sin t, y=6 \cos t, 0 \leq t \leq 2 \pi$

Use your grapher to determine which of the graphs matches the given polar equation. - $\mathrm { r } = 5 \sec \theta$

Plot the point with the given polar coordinates. - $\left( 3 , \frac { 7 \pi } { 6 } \right)$ $Plot the point with the given polar coordinates. - \left( 3 , \frac { 7 \pi } { 6 } \right)$

Find the indicated roots. Write the answer in a + bi form. -Cube roots of $- 8$

Choose the graph of the given parametric equations. - $x=2 t-1, y=t 2+6,-4 \leq t \leq 4$ $Choose the graph of the given parametric equations. - x=2 t-1, y=t 2+6,-4 \leq t \leq 4$