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Math 107 Quiz 2 Spring 2017 OL4
Professor: Dr. Katiraie Name________________________________ Instructions: The quiz is worth 100 points. There are 10 problems, each worth 10 points. Your score
will be posted in your Portfolio with comments.
Introduction to ArtificiaI Intelligence in Higher Education
This quiz is open book and open notes/tutorialoutlet
1. This quiz is open book and open notes
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Math 107 Quiz 2 Spring 2017 OL4
Professor: Dr. Katiraie Name________________________________
Instructions: The quiz is worth 100 points. There are 10 problems, each
worth 10 points. Your score
will be posted in your Portfolio with comments.
This quiz is open book and open notes, and you may take as long as you
like on it
provided that you submit the quiz no later than the due date posted in
our course schedule
of the syllabus. You may refer to your textbook, notes, and online
classroom materials,
but you may not consult anyone.
You should show all of your work to receive full credit. If you do not
show work, you
may earn only partial or no credit.
Please type your work in your copy of the quiz, or if you prefer, create a
document
containing your work. Scanned work is also acceptable. Be sure to
include your name in
2. the document. Review instructions for submitting your midterm exam in
the Quizzes and
Exams Conference.
If you have any questions, please contact me by e-mail
(farajollah.katiraie@faculty.umuc.edu). At the end of your quiz, you
must include the following dated statement with your name typed
in lieu of a signature. Without this signed statement you will receive a
zero.
I have completed this quiz myself, working independently and not
consulting anyone except the
instructor. I have neither given nor received help on this quiz.
Name: Date: Please remember to show ALL of your work on every
problem. If there is no
work to show, then include a sentence or two explaining your answer.
Here are the basic rules of showing work:
a) Each step should show the complete expression or equation rather
than a piece of it.
b) Each new step should follow logically from the previous step,
following rules of algebra.
c) Each new step should be beneath the previous step.
d) The equal sign, =, should only connect equal numbers or expressions.
Our textbook is full of good models of work shown correctly. If you
have questions about
3. showing work, please ask. Math 107
Quiz 2 Page 2 Please Show or Explain Your Work on Each Problem.
1) Find the distance d between the points and the midpoint M of the line
segment which
connects them. (-3 , -10) , (-1 , -5) 2) Let’s assume for a moment that we
are standing at the origin and the positive y-axis points
due North while the positive x-axis points due East. Our Sasquatch-o-
meter tells us that
Sasquatch is 5 miles East and 6 miles South of our current position.
What are the coordinates of
his position? How far away is he from us? If he runs 8 miles due West
what would his new
position be? 3) For the function below
y=x 2−4
a) Find the x- and y-intercept(s) of the graph, if any exist
b) Follow the procedure in Example 1.2.3 to create a table of sample
points on the graph of the
equation.
c) Plot the sample points and create a rough sketch of the graph of the
equation.
d) Test for symmetry. If the equation appears to fail any of the symmetry
tests, find a point on the
graph of the equation whose reflection fails to be on the graph as was
done at the end of Example
4. 1.2.4 Math 107
Quiz 2
4) Page 3 For the following piecewise function, find the specified
function values { 3 x for x <−2
1
f ( x )= x+5 for−2≤ x ≤ 4
2
10−2 x for x >4 a) f(-4)
b) f (-2)
c) f(0)
d) f(4)
e) f(10) 5) For the following pair of functions, f (x)=x +2, g (x)=√ x−1
Find each of the following, and State its Domain:
a) Find (f + g)(x) b) Find (f – g)(x) c) Find (f*g)(x) (Hint, this means
f(x) times g(x)) d) Find (f*f)(x) (Hint: this means f(x) times f(x) e) Find
(f/g)(x) (Hint: this means f(x) divided by g(x) Math 107
Quiz 2 f ( x+ h )−f (x)
h
for the following function. (Hint: Please see page 79 in Section 1.5)
6) Find and simplify the difference quotient f ( x )=−3 x−7 f ( x+ h )−f
(x)
h
5. for the following function. (Hint: Please see page 79 in Section 1.5)
7) Find and simplify the difference quotient f ( x )=−3 x2 −7 f ( x+ h )−f
(x)
h
for the following function. (Hint: Please see page 79 in Section 1.5)
8) Find and simplify the difference quotient f ( x )= 5
x Page 4 Math 107
Quiz 2 Page 5 9) The cost, is C(x) = 4000 + 500x
And the price-demand function, is p(x) = 2000 – 60x
1 ≤ x≤25
Where x is in thousands of computers, C(x) is in thousands of dollars,
and p(x) denotes the
wholesale price (in dollars) per computer at which x thousand computers
can be sold. (Hint:
Please see page 82 in section 1.5)
Please answer the following:
a) Find and interpret C(0).
b) Find and interpret C(10).
************************************************
6. for the following function. (Hint: Please see page 79 in Section 1.5)
7) Find and simplify the difference quotient f ( x )=−3 x2 −7 f ( x+ h )−f
(x)
h
for the following function. (Hint: Please see page 79 in Section 1.5)
8) Find and simplify the difference quotient f ( x )= 5
x Page 4 Math 107
Quiz 2 Page 5 9) The cost, is C(x) = 4000 + 500x
And the price-demand function, is p(x) = 2000 – 60x
1 ≤ x≤25
Where x is in thousands of computers, C(x) is in thousands of dollars,
and p(x) denotes the
wholesale price (in dollars) per computer at which x thousand computers
can be sold. (Hint:
Please see page 82 in section 1.5)
Please answer the following:
a) Find and interpret C(0).
b) Find and interpret C(10).
************************************************