Math 120 Spring 2006 Final Exam Questions and Instructions, Exams of Pre-Calculus

The final exam questions and instructions for math 120 - spring 2006. The exam covers various math topics including physics, circular motion, exponential growth, and functions. Questions involve problem-solving and calculation. Students are allowed to use a calculator and one page of hand-written notes. The exam lasts for 170 minutes.

Typology: Exams

Pre 2010

Uploaded on 03/11/2009

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Math 120 - Spring 2006
Final Exam
June 3, 2006
Name: Section:
1 10
2 10
3 10
4 10
5 10
6 10
7 10
Total 70
Complete all questions.
You may use a calculator during this examination. Other electronic devices are not al-
lowed, and should 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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Math 120 - Spring 2006

Final Exam

June 3, 2006

Name: Section:

Total 70

  • Complete all questions.
  • You may use a calculator during this examination. Other electronic devices are not al- lowed, and should 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. A cannon fired a cannonball in a parabolic arc across a horizontal field. The cannonball landed 1300 feet away from the cannon, and reached a maximum height of 350 feet.

cannon is here cannonball lands here If there had been a wall 850 feet away from the cannon, with a height of 300 feet, would the cannonball have flown over it, or would it have hit the wall? Explain. Assume the cannonball leaves the cannon at a height of zero, i.e. at the same level as the field.

  1. Circular Forest is shaped like a circle with a radius of 7 km. Tia is going to take a hike in a straight line starting from a point 5 km east and 6 km north of the easternmost point of Circular Forest. She will walk to a point 8 km west and 8 km south of the center of the forest. For what distance will she be walking in the forest?
  1. Two cities, A and B, have populations that are growing exponentially. Initially, the popu- lation of B is twice that of A, but ten years later they are equal. If it takes 60 years for B’s population to double, how long does it take A’s population to double?
  1. You are interested in determining the height of a tall building. You measure its angle of elevation at one point to be 76 ◦. You then move 70 feet closer to the building and measure the angle of elevation again; this time it is 87 ◦.



 



















How tall is the building?

  1. Write the multipart rule for the function f (x) = |x^2 − 4 | + |x − 1 |.