I tried uploading a word document, but it didn’t work, so I just will link the Google Doc which has the test.
Category: Final Exam Review – Questions (Page 2 of 2)
Final Review
1) Simplify cos and sin to get real numbers
a) cos(11*pi/12) b) sin(5*pi/12)
2)The vectors v⃗ and v⃗ below are being added. Find the approximate magnitude and directional angle of sum ⃗v = v⃗ + v⃗.
a) ||v⃗||=6, and θ =60◦, and ||v⃗||=2, andθ =180◦
b) ||v⃗||=3.7, and θ =92◦, and ||v⃗||=2.2, and θ =253◦
3) Solve for x without using a calculator.
a) ln(2x + 4) = ln(5x − 5) b) ln(x+6)=ln(x−2)+ln(3)
4) State the domain of the function f and sketch its graph.
a) f(x) = log(x) b)f(x)=log(x+7) c)f(x)=ln(x+5)−1
5) Find the domain, the vertical asymptotes and removable discontinuities of the functions
b)f(x)= x2+2 x2 −6x+8 c) f(x) = 3x+6/x^3 −4x
6)add and subtract the complex numbers
a) (5-2i)+(-2+6i) b) (-9-i)-(5-3i)
7)Divide by long division.
a) x^3−4x^2+2x+1/ x−2. b) x^3+6x^2+7x−2/x+3
8) Find all real roots
a)f(x) = 6x^4 + 25x^3 + 8x^2 − 7x − 2. b) f(x) = 4x^3 + 9x^2 + 26x + 6.
9)Find at least 5 distinct solutions of the equation
a) tan(x) = −1. b) cos(x) = √2/2 c) sin(x) = −√3/2
10) Find the magnitude and directional angle of the vector.
a) ⟨6, 8⟩. b) ⟨−2, 5⟩. c) ⟨−4, −4⟩
The instructions for your Test #3 Solutions OpenLab assignment are the same as for Test #1 and Test #2 solutions. Your post is due by Thursday, December 12 at 11:59pm. Don’t forget to select the category Test #3 Solutions before publishing your post.
Your Final Exam Review OpenLab assignment has three steps:
- Create your own final exam. Refer to questions from the final exam review sheet, WeBWorK, quizzes, tests, and the textbook to put together an exam that reflects all the topics you saw in this course. Your exam should have ten questions (but many questions should have a part (a) and a part (b) so your exam will have up to 20 questions). Don’t worry about whether you can answer the questions yourself; try to select good exam questions. Submit your final exam as an OpenLab post with the Subject Final Exam Review and the category Final Exam Review – Questions.
- Take one of your classmates’ final exams. Set aside 100 minutes and take the exam as though it were actually the final exam: turn your phone off and leave your notes, etc, in another room. After time is up, make a note of which questions you struggled with (you will need to spend more time studying these topics); figure out the solutions to these problems. Make a good copy of your solution sheet and post this on the OpenLab. Link to your classmate’s OpenLab post with the questions in your post and select the category Final Exam Review – Solutions.
- Repeat step 2 but with your own final exam.
Due dates:
Step 1: Final exam questions are due by Friday, December 13 at 11:59pm
Steps 2 & 3: Final exam solutions are due by Monday, December 16 at 11:59pm
Bonus (optional): Grade somebody else’s final exam. Submit your questions/concerns as a comment on their Solutions post. Submit these by Wednesday, December 17 at 11:59pm.
Steps 1, 2, and 3 (and the optional bonus step) are each worth one participation point.
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