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Final Exam Fall 2008 - Precalculus | MATH 120, Exams of Pre-Calculus

University of Washington (UW) - SeattlePre-Calculus

Material Type: Exam; Class: PRECALCULUS; Subject: Mathematics; University: University of Washington - Seattle; Term: Winter 2008;

Typology: Exams

Pre 2010

Uploaded on 03/11/2009

koofers-user-8iu
koofers-user-8iu 🇺🇸

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Math 120 - Winter 2008
Final Exam
March 15, 2008
Name: Student ID no. :
Signature: Section:
1 10
2 10
3 10
4 10
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Total 70
•Complete all questions.
•You may use a calculator during this examination. Other electronic devices are not al-
lowed, and must be turned off for the duration of the exam.
•If you use a trial-and-error or guess-and-check method, or read a numerical solution from
a graph on your calculator when an algebraic method is available, you will not receive
full credit.
•You may use one hand-written 8.5 by 11 inch page of notes.
•Show all work for full credit.
•You have 170 minutes to complete the exam.
.
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Download Final Exam Fall 2008 - Precalculus | MATH 120 and more Exams Pre-Calculus in PDF only on Docsity!

Math 120 - Winter 2008

Final Exam

March 15, 2008

Name: Student ID no. :

Signature: Section:

Total 70

  • Complete all questions.
  • You may use a calculator during this examination. Other electronic devices are not al- lowed, and must be turned off for the duration of the exam.
  • If you use a trial-and-error or guess-and-check method, or read a numerical solution from a graph on your calculator when an algebraic method is available, you will not receive full credit.
  • You may use one hand-written 8.5 by 11 inch page of notes.
  • Show all work for full credit.
  • You have 170 minutes to complete the exam.
  1. Beth is making an expedition in a hot air balloon. Because of atmospheric conditions, her altitude is a sinusoidal function of time. At 3 AM on March 1, she was at her minimum altitude: 2000 feet. Her altitude then increased, reaching her maximum altitude of 2500 feet at 7:30 AM on March 1. On March 1, how much of the day was her altitude below 2100 feet?
  1. Nell and Kit are moving in the xy-coordinate plane, with the dimensions of the plane in feet (so, for example, the point (0,1) is 1 foot from the point (0,0)). Nell starts from the point (20, 8) and heads directly toward the point (1, 4). She will take 3 seconds to get to the point (1, 4). Kit starts from the point (1, 2) and travels along the line y = − 0. 5 x + 2. 5 , heading toward the y-axis, at the rate of 5 feet per second.

(a) Find Nell’s equations of motion. That is, express her location’s x- and y-coordinates as functions of time.

(b) Find Kit’s equations of motion. That is, express his location’s x- and y-coordinates as functions of time.

  1. Bob is walking directly from Albany to Birmingham. Birmingham is 10 km north and 7 km east of Albany. Cambridge is 3 km east and 4 km south of Birmingham. On Bob’s walk, how close does he come to Cambridge?
  1. Dorritt is planning to make some enclosures for her llamas. She wants to make three identical square enclosures and a rectangular enclosure with its long side twice as long as its short side. For example, her enclosures might look like this:

She can afford to buy 300 feet of fencing. What should the dimensions of the square enclosures be to result in the maximum total area of all her enclosures?

  1. Let f (x) = 2x + 5 − 4 |x − 1 |.

(a) (4 points) Write the multipart rule for f (x).

(b) (6 points) Find all values of a that satisfy the following equation:

f (a) = 7a − 8