Question 1

Perform the indicated operation. Use the form for vectors. -v = <-3, 5>, u = <-4, -1>; Find 5v - 7u.

Accepted Answer

A) <10, 35> B) <-35, -28> C) <-70, 175> D) <13, 32> A) <10, 35> B) <-35, -28> C) <-70, 175> D) <13, 32>

Question 2

Graph the polar equation.
-

Accepted Answer

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

Question 3

Graph the polar equation.
-

Accepted Answer

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

Question 4

Graph the pair of parametric equations with the aid of a graphing calculator.
-

Accepted Answer

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

Question 5

Find all specified roots.
-Square roots of i

Accepted Answer

A)    
B)  -1, 1 
C)  -i, i 
D)    
A)    
B)  -1, 1 
C)  -i, i 
D)

Question 6

Find the area of the region.
-Round to the nearest hundredth of a square foot.

Accepted Answer

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

Question 7

Graph the complex number.
-

Accepted Answer

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

Question 8

Use De Moivre's theorem to simplify the expression. Write the answer in the form a + bi.
-

Accepted Answer

A)    
B)  81i 
C)    
D)    
A)    
B)  81i 
C)    
D)

Question 9

Using the pair of parametric equations, find the values of A and B in the table.
-

Accepted Answer

A)  A = 17, B = 4 
B)  A = 3, B = -2 
C)  A = 2, B = -1 
D)  A = 18, B = 6 
A)  A = 17, B = 4 
B)  A = 3, B = -2 
C)  A = 2, B = -1 
D)  A = 18, B = 6

Question 10

Solve the equation. Write the answer in a + bi form.
-  - x = 0

Accepted Answer

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

Question 11

Write a pair of parametric equations that will produce the indicated graph.
-The line segment starting at (3, 2) with t = 0 and ending at (-5, -8) with t = 2

Accepted Answer

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

Question 12

Solve the problem.
-Suppose you would like to cross a 207-foot wide river in a boat. Assume that the boat can travel 37 mph relative to the water and that the current is flowing west at the rate of 7 mph. What bearing should be chosen so
That the boat will land at a point exactly across from its starting point? Give your answer to the nearest tenth of
A degree.

Accepted Answer

A)  7.3° 
B)  8.7° 
C)  10.9° 
D)  79.1° 
A)  7.3° 
B)  8.7° 
C)  10.9° 
D)  79.1°

Question 13

Write the complex number in trigonometric form, using degree measure for the argument.
--5i

Accepted Answer

A)  5(cos 90° + i sin 90°) 
B)  5(cos 0° + i sin 0°) 
C)  5(cos 270° + i sin 270°) 
D)  5(cos 180° + i sin 180°) 
A)  5(cos 90° + i sin 90°) 
B)  5(cos 0° + i sin 0°) 
C)  5(cos 270° + i sin 270°) 
D)  5(cos 180° + i sin 180°)

Question 14

Express the given vector as a linear combination of the unit vectors i and j.
--4, -7

Accepted Answer

A)  -4i - 7j 
B)  -7i - 4j 
C)  7i - 4j 
D)  4i + 7j 
A)  -4i - 7j 
B)  -7i - 4j 
C)  7i - 4j 
D)  4i + 7j

Question 15

Convert the rectangular coordinates to polar coordinates, using radian measure for the angle.
-(2, -2)

Accepted Answer

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

Question 16

Use De Moivre's theorem to simplify the expression. Write the answer in the form a + bi.
-

Accepted Answer

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

Question 17

Graph the pair of polar equations on a calculator, together on the same screen, and use the trace feature to estimate the
polar coordinates of all points of intersection of the curves. Round to the nearest hundredth, if necessary.
-

Accepted Answer

A)  (2, 2.62), (2, 0.52) 
B)  (-2, 5.24), (-2, 1.04) 
C)  (2, 5.24), (2, 1.04) 
D)  (2, 2.62), (2, 4.19) 
A)  (2, 2.62), (2, 0.52) 
B)  (-2, 5.24), (-2, 1.04) 
C)  (2, 5.24), (2, 1.04) 
D)  (2, 2.62), (2, 4.19)

Question 18

Find the indicated roots. Write the answer in trigonometric form.
-Fifth roots of 243(cos 280° + i sin 280°)

Accepted Answer

A)  3(cos 280° + i sin 280°), 3(cos 370° + i sin 370°), 3(cos 460° + i sin 460°), 3(cos 550° + i sin 550°),3(cos 595° + i sin 595°) 
B)  3(cos 56° + i sin 56°), 3(cos 146° + i sin 146°), 3(cos 236° + i sin 236°), 3(cos 326° + i sin 326°),3(cos 371° + i sin 371°) 
C)  3(cos 280° + i sin 280°), 3(cos 352° + i sin 352°), 3(cos 424° + i sin 424°), 3(cos 496° + i sin 496°),3(cos 568° + i sin 568°) 
D)  3(cos 56° + i sin 56°), 3(cos 128° + i sin 128°), 3(cos 200° + i sin 200°), 3(cos 272° + i sin 272°),3(cos 344° + i sin 344°) 
A)  3(cos 280° + i sin 280°), 3(cos 370° + i sin 370°), 3(cos 460° + i sin 460°), 3(cos 550° + i sin 550°),3(cos 595° + i sin 595°) 
B)  3(cos 56° + i sin 56°), 3(cos 146° + i sin 146°), 3(cos 236° + i sin 236°), 3(cos 326° + i sin 326°),3(cos 371° + i sin 371°) 
C)  3(cos 280° + i sin 280°), 3(cos 352° + i sin 352°), 3(cos 424° + i sin 424°), 3(cos 496° + i sin 496°),3(cos 568° + i sin 568°) 
D)  3(cos 56° + i sin 56°), 3(cos 128° + i sin 128°), 3(cos 200° + i sin 200°), 3(cos 272° + i sin 272°),3(cos 344° + i sin 344°)

Question 19

Solve.
-Two airplanes leave an airport at the same time, one going northwest at 405 mph and the other going east at 343 mph. How far apart are the planes after 2 hours (to the nearest mile)?

Accepted Answer

A)  691 mi 
B)  1233 mi 
C)  1150 mi 
D)  1383 mi 
A)  691 mi 
B)  1233 mi 
C)  1150 mi 
D)  1383 mi

Question 20

Graph the complex number.
-

Accepted Answer

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

Perform the indicated operation. Use the form <a, b> for vectors. -v = <-3, 5>, u = <-4, -1>; Find 5v - 7u.

Graph the polar equation. -

Graph the polar equation. -

Graph the pair of parametric equations with the aid of a graphing calculator. -

Find all specified roots. -Square roots of i

Find the area of the region. -Round to the nearest hundredth of a square foot.

Graph the complex number. -

Use De Moivre's theorem to simplify the expression. Write the answer in the form a + bi. -

Using the pair of parametric equations, find the values of A and B in the table. -

Solve the equation. Write the answer in a + bi form. - - x = 0

Write a pair of parametric equations that will produce the indicated graph. -The line segment starting at (3, 2) with t = 0 and ending at (-5, -8) with t = 2

Write the complex number in trigonometric form, using degree measure for the argument. --5i

Express the given vector as a linear combination of the unit vectors i and j. --4, -7

Convert the rectangular coordinates to polar coordinates, using radian measure for the angle. -(2, -2)

Use De Moivre's theorem to simplify the expression. Write the answer in the form a + bi. -

Graph the pair of polar equations on a calculator, together on the same screen, and use the trace feature to estimate the polar coordinates of all points of intersection of the curves. Round to the nearest hundredth, if necessary. -

Find the indicated roots. Write the answer in trigonometric form. -Fifth roots of 243(cos 280° + i sin 280°)

Solve. -Two airplanes leave an airport at the same time, one going northwest at 405 mph and the other going east at 343 mph. How far apart are the planes after 2 hours (to the nearest mile)?

Graph the complex number. -

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Systems of Equations and Inequalities

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The Conic Sections

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Basic Algebra Review

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Exam 7: Applications of Trigonometry

Perform the indicated operation. Use the form <a, b> for vectors. -v = <-3, 5>, u = <-4, -1>; Find 5v - 7u.

Graph the polar equation. -

Graph the polar equation. -

Graph the pair of parametric equations with the aid of a graphing calculator. -

Find all specified roots. -Square roots of i

Find the area of the region. -Round to the nearest hundredth of a square foot.

Graph the complex number. -

Use De Moivre's theorem to simplify the expression. Write the answer in the form a + bi. -

Using the pair of parametric equations, find the values of A and B in the table. -

Solve the equation. Write the answer in a + bi form. - - x = 0

Write a pair of parametric equations that will produce the indicated graph. -The line segment starting at (3, 2) with t = 0 and ending at (-5, -8) with t = 2

Write the complex number in trigonometric form, using degree measure for the argument. --5i

Express the given vector as a linear combination of the unit vectors i and j. --4, -7

Convert the rectangular coordinates to polar coordinates, using radian measure for the angle. -(2, -2)

Use De Moivre's theorem to simplify the expression. Write the answer in the form a + bi. -

Graph the pair of polar equations on a calculator, together on the same screen, and use the trace feature to estimate the polar coordinates of all points of intersection of the curves. Round to the nearest hundredth, if necessary. -

Find the indicated roots. Write the answer in trigonometric form. -Fifth roots of 243(cos 280° + i sin 280°)

Solve. -Two airplanes leave an airport at the same time, one going northwest at 405 mph and the other going east at 343 mph. How far apart are the planes after 2 hours (to the nearest mile)?

Graph the complex number. -

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters