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MATH 114 Exam II - Solutions for Problems P1 to P5, Exams of Trigonometry

University of Wisconsin (UW) - MadisonTrigonometry

Solutions for the first five problems of exam ii for math 114. The problems involve finding the dimensions of a rectangle, solving equations, determining the properties of a function, and identifying the polynomial function with given zeros. Students are required to circle the correct answer for each problem.

Typology: Exams

Pre 2010

Uploaded on 09/02/2009

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koofers-user-41v 🇺🇸

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MATH 114 Name:
10. 29. 2007
EXAM II
Please circle the name of your TA:
Lino Amorim Ali Godjali Alec Johnson Sarah Matz Kim Schattner
Show all your work in order to receive credit. A correct answer without any work
will receive 0 credit. Partial credit will be given ONLY for work that is correct and
relevant to the problem. Please write your answers neatly. Please make sure your cell
phones are turned OFF! Good luck!
P1
P2
P3
Multiple choice
TOTAL
1
pf3
pf4
pf5

Partial preview of the text

Download MATH 114 Exam II - Solutions for Problems P1 to P5 and more Exams Trigonometry in PDF only on Docsity!

MATH 114 Name:

    1. 2007

EXAM II

Please circle the name of your TA:

Lino Amorim Ali Godjali Alec Johnson Sarah Matz Kim Schattner

Show all your work in order to receive credit. A correct answer without any work will receive 0 credit. Partial credit will be given ONLY for work that is correct and relevant to the problem. Please write your answers neatly. Please make sure your cell phones are turned OFF! Good luck!

P

P

P

Multiple choice

TOTAL

  1. (10 points) The area of a rectangle is A = 1 ft^2. If the width is x feet and the length is 2x^2 + 3x feet, find the dimensions of the rectangle.
  1. (10 points) Let f (x) =^2 x

(^2) − x − 3 x^2 + 2x − 3

. Determine the following (if none write “none”).

Domain of f (x)

vertical asymptotes horizontal asymptotes

oblique asymptote hole(s)

x-intercept y-intercept

Sketch the graph of f (x). Label all asymptotes, intercepts and holes.

For each of the following questions circle only one answer. If you circle more than one answer you will not get any credit even if the right one was among your choices. There are 5 problems and each problem is worth 4 points.

  1. Find a polynomial function with the given zeros − 1 , 0 , 2

A. f (X) = X(X − 1)(X + 2) B. f (X) = X(X + 1)(X − 2)

C. f (X) = X^2 (X + 1)(X + 2) D. f (X) = (X + 1)^2 (X − 2)

E. none of these

  1. W varies directly with the square of x and inversely with the cube root of y. W = 12 when x = 6 and y = 8. Find the constant of proportionality.

A.^19 B. 16 C. 361 D. 92 E. none of these

  1. A radioactive element decays according to the formula Q(t) = 100(3)−^ t^5 , where t is measured in years and Q represents the amount of this element at any time t measured in grams. How many grams are there initially?

A. 100 B. 300 C. 1003 D. 100 √ 5

E. none of these

  1. Let f (x) = log 3 (x − 9). Circle the true statement

A. y = 9 is a horizontal asymptote B. y = −9 is a horizontal asymptote

C. x = 9 is a vertical asymptote D. x = −9 is a vertical asymptote

E. The graph of f (x) has no asymptotes

THERE IS A PROBLEM ON THE NEXT PAGE!!!