Write the vector v in terms of i and j whose magnitude and direction angle θ are given.

Question 1 of 20
0.0/ 5.0 Points
Write the vector v in terms of i and j whose magnitude and direction angle θ are given.

= 8, θ = 30°

A. v = -4i + 4j
B. v = 4i + 4j
C. v = 4i + 4j
D. v = 4i + 4j
Question 2 of 20
0.0/ 5.0 Points
Select the representation that does not change the location of the given point. (4, 110°)

A. (4, 470)°
B. (4, 290)°
C. (-4, 200)°
D. (-4, 470)°
Question 3 of 20
0.0/ 5.0 Points
Find the quotient of the complex numbers. Leave answer in polar form.

z1 = 

z2 = 

A. 
B. 
C. 
D. 
Question 4 of 20
0.0/ 5.0 Points
Find the unit vector that has the same direction as the vector v. v = 3i + j

A. u = i + j
B. u = i + j
C. u = 3i + j
D. u = i + j
Question 5 of 20
5.0/ 5.0 Points
Polar coordinates of a point are given. Find the rectangular coordinates of the point.

A. (-1.6, -1.3)
B. (1.6, 1.3)
C. (1.3, 1.6)
D. (-1.3, -1.6)
Question 6 of 20
0.0/ 5.0 Points
Find the work done by a force of 4 pounds acting in the direction of 41° to the horizontal in moving an object 5 feet from (0, 0) to (5, 0).

A. 13.1 ft-lb
B. 16.2 ft-lb
C. 15.1 ft-lb
D. 30.2 ft-lb
Question 7 of 20
0.0/ 5.0 Points
Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. a = 6, c = 11, B = 109°

A. b = 14.1, A = 24°, C = 47°
B. b = 19.9, A = 22°, C = 49°
C. b = 17, A = 26°, C = 45°
D. no triangle
Question 8 of 20
0.0/ 5.0 Points
Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. B = 15° C = 113° b = 49

A. A = 50°, a = 176.3, c = 151.2
B. A = 52°, a = 149.2, c = 174.3
C. A = 52°, a = 151.2, c = 176.3
D. A = 50°, a = 174.3, c = 149.2
Question 9 of 20
0.0/ 5.0 Points
Find all the complex roots. Write the answer in the indicated form. The complex cube roots of 27(cos 234° + i sin 234°) (polar form)

A. -3(cos 78° + i sin 78°), 3(cos 198° + i sin 198°), -3(cos 318° + i sin 318°)
B. 3(cos 78° + i sin 78°), 3(cos 118° + i sin 118°), 3(cos 158° + i sin 158°)
C. -3(cos 78° + i sin 78°), 3(cos 118° + i sin 118°), -3(cos 158° + i sin 158°)
D. 3(cos 78° + i sin 78°), 3(cos198° + i sin 198°), 3(cos 318° + i sin 318°)
Question 10 of 20
5.0/ 5.0 Points
Find the specified vector or scalar.

u = -4i + 1j and v = 4i + 1j; Find .

A. 
B. 8
C. 5
D. 2
Question 11 of 20
5.0/ 5.0 Points
Use the dot product to determine whether the vectors are parallel, orthogonal, or neither. v = j, w = 4i

A. orthogonal
B. parallel
C. neither
Question 12 of 20
0.0/ 5.0 Points
Write the complex number in polar form. Express the argument in degrees. 4i

A. 4(cos 0° + i sin 0°)
B. 4(cos 270° + i sin 270°)
C. 4(cos 90° + i sin 90°)
D. 4(cos 180° + i sin 180°)
Question 13 of 20
0.0/ 5.0 Points
The wind is blowing at 10 knots. Sailboat racers look for a sailing angle to the 10-knot wind that produces maximum sailing speed. This situation is now represented by the polar graph in the figure shown below. Each point (r, θ) on the graph gives the sailing speed, r, in knots, at an angle θ to the 10-knot wind. What is the speed to the nearest knot, of the sailboat sailing at 120° angle to the wind?

A. 8 knots
B. 9 knots
C. 7 knots
D. 10 knots
Question 14 of 20
0.0/ 5.0 Points
Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. a = 7, b = 7, c = 5

A. A = 70°, B = 70°, C = 40°
B. A = 69°, B = 69°, C = 42°
C. A = 42°, B = 69°, C = 69°
D. A = 69°, B = 42°, C = 69°
Question 15 of 20
0.0/ 5.0 Points
Plot the complex number. 2 + i

A. 
B. 
C. 
D. 
Question 16 of 20
0.0/ 5.0 Points
Find the magnitude and direction angle θ, to the nearest tenth of a degree, for the given vector v. v = -4i – 3j

A. 5; 233.1°
B. 7; 216.9°
C. 5; 216.9°
D. 5; 36.9°
Question 17 of 20
0.0/ 5.0 Points
Find the quotient of the complex numbers. Leave answer in polar form.

z1 = 
z2 = 

A. 
B. 
C. 
D. 
Question 18 of 20
0.0/ 5.0 Points
Graph the polar equation.

r = 2 + 2sin θ

A. 
B. 
C. 
D. 
Question 19 of 20
0.0/ 5.0 Points
Polar coordinates of a point are given. Find the rectangular coordinates of the point. (-5, -180°)

A. (-5, 0)
B. (0, -5)
C. (0, 5)
D. (5, 0)
Question 20 of 20
0.0/ 5.0 Points
Plot the complex number.

-5– 5i

A. 
B. 
C. 
D. 
Duepapers
Calculate your paper price
Pages (550 words)
Approximate price: -

Why Work with Us

Top Quality and Well-Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

Professional and Experienced Academic Writers

We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.

Free Unlimited Revisions

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.

Prompt Delivery and 100% Money-Back-Guarantee

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.

24/7 Customer Support

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

Calculate the price of your order

Total price:
$0.00

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.

Essays

Essay Writing Service

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.

Admissions

Admission Essays & Business Writing Help

An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.

Reviews

Editing Support

Our academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.

Reviews

Revision Support

If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. You can use this option as many times as you see fit. This is free because we want you to be completely satisfied with the service offered.