Math 1205 Common Final Exam
Fall 2003
FORM A
Name: ______________________________
Pledge: ______________________________
CRN: ______________________________
Instructions: Please enter your NAME, ID NUMBER, FORM DESIGNATION, and, your CRN
on the op-scan sheet. The CRN should be written in the box labeled โCOURSEโ. Darken the
appropriate circles below your ID number and below the Form designation letter. Use a number 2
pencil. Machine grading may ignore faintly marked circles.
Mark your answers to the test questions in rows 1 through 17 of the op-can sheet. Your score on
this test will be the number of correct answers. You have one hour to complete this portion of the
exam.
1. Find lim
x
โโ2
x2+xโ2
x2+3x+2
1) 0 2) 1 3) 1/3 4) 3 5) The limit does not exist
2. Below is a table of values for f(2
+h)
and f(2
+h)โf(2)
h
for h ranging from
โ.1000
to
โ.0001
and from .1000 to .0001.
h f(2
+h)
f(2
+h)โf(2)
h
h f(2
+h)
f(2
+h)โf(2)
h
-0.1000 16.1200 11.2000 0.1000 13.9200 10.8000
-0.0100 15.1102 11.0200 0.0100 14.8902 10.9800
-0.0010 15.0110 11.0020 0.0010 14.9890 10.9980
-0.0001 15.0011 11.0002 0.0001 14.9989 10.9998
Which of the following statements is NOT supported by the data?
1) lim
xโ0f(x)โ15
2) lim
xโ2f(x)โ15
3)
โฒ f (2) โ11
4) The secant line through the points (2, f(2)) and (1.9, f(1.9)) has slope 11.2
5) The tangent line at the point (2,f(2)) has slope approximately 11
3. At how many points on the graph of y
=x3โ9x2+45x+3
does the tangent line
have slope 18?
1) none 2) 1 3) 2 4) 3 5) infinitely many
