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MATH 115 QUIZ 5 Section 6381 Summer 2020
I have completed this assignment myself, working independently and not consulting anyone except the instructor.
NAME_____________________________
INSTRUCTIONS
- The quiz is worth 50 points total. There are five problems (each worth 10 points).
- You must show all work in order to receive full credit. If you do not show your work, you may earn only partial or no credit at the discretion of the professor.
- The quiz is open book and open notes. This means that you may refer to your textbook, notes, and online course materials, but you must work independently and may not consult anyone. The brief honor statement is on top of the exam. If you fail to put your name under the statement, your quiz will not be accepted. You may take as much time as you wish, provided you turn in your quiz via LEO by 11:59 pm ET on Tuesday, July 7.
- The completed quiz should be uploaded to the Quiz 5 Assignment Folder as an attachment. Emailed quizzes and exams will not be accepted. Thank you for understanding.
- Solve the equation, giving the exact solutions which lie in :
Express your solutions in radian measure. Show work and rationale, and simplify your answer for full credit. Answers based on technology (calculators, applets, software packages, etc.) are not accepted.
- Assume in a triangle. (As in the text, are angle-side opposite pairs.)
- Use the Law of Sines to find the remaining side c and angles β and γ. Give the exact answers and decimal approximations rounded to hundredths. (8 points)
- Find the area of the triangle. Give the exact answer and decimal approximation rounded to hundredths. (2 points)
Show work and rationale, and simplify your answer for full credit.
- Assume in a triangle. (As in the text, are angle-side opposite pairs.)
- Use the Law of Cosines to find the remaining side a and angles β and γ. Give the exact answers and decimal approximations rounded to hundredths. (8 points)
- Use Heron’s Formula to find the area of the triangle. Round the answer to hundredths. (2 points)
Show work and rationale, and simplify your answer for full credit.
- Answer the following questions:
- ; when drawn in standard position lies in Quadrant IV and makes a 30° angle with the negative y-axis. Find the component form of . (3 points)
- ; when drawn in standard position lies along negative x-axis. Find the component form of . (3 points)
- Find . (2 points)
- Determine . (2 points)
Show work and rationale, and give the exact values (i.e. no need to approximate the square root in decimal format) for full credit.
- Given and for the following questions:
- Find .(1 point)
- Determine the angle θ (in degrees) between and . (3 points)
- Find the orthogonal projection of : (4 points)
- Are and orthogonal, parallel or neither? Why? (2 points)
Show work and rationale for full credit. Answers based on technology (calculators, applets, software packages, etc.) are not accepted.
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