Question 1. Find the following limits: (32 Points)
r
a) lim
x0
tan 3x
x
2x2 2x 4
x1 x2 + 3x + 2
b) lim
3x 1
x0
x
c) lim
i. Is it 1, more than 1, or less than 1? Justify your answer.
ii. Use your calculator to find the (approximate) answer.
d) lim tan 3x =

KOQ UNIVERSITY
MATH 102
FIRST MIDTERM APRIL 1, 2011
Duration of Exam: 75 minutes
INSTRUCTIONS:
o No calculators may be used on the test.
a No books, no notes, no questions, and no talking allowed.
0 You must always explain your answers and SHOW YOUR WORK

KOC
UNIVERSITY
MATH 102
SECOND MIDTERM
April 26, 2014
Duration of Exam: 75 minutes
INSTRUCTIONS:
No calculators may be used on the test.
No books, no notes, no questions, and no talking allowed.
You must always explain your answers and SHOW YOUR WORK

KOC
UNIVERSITY
MATH 102
MIDTERM 2
April 24, 2012
Duration of Exam: 75 minutes
INSTRUCTIONS:
No calculators may be used on the test.
No books, no notes, no questions, and no talking allowed.
You must always explain your answers and SHOW YOUR WORK
to re

KOC
UNIVERSITY
MATH 102
FINAL EXAM
May 25, 2012
Duration of Exam: 120 minutes
INSTRUCTIONS:
No calculators may be used on the test.
No books, no notes, no questions, and no talking allowed.
You must always explain your answers and SHOW YOUR WORK
to re

KOC
UNIVERSITY
MATH 102
FIRST MIDTERM
March 24, 2012
Duration of Exam: 75 minutes
INSTRUCTIONS:
No calculators may be used on the test.
No books, no notes, no questions, and no talking allowed.
You must always explain your answers and SHOW YOUR WORK
t

KOC
UNIVERSITY
MATH 102
FINAL EXAM
JANUARY 8, 2016
Duration of Exam: 105 minutes
INSTRUCTIONS:
No calculators may be used on the test.
No books, no notes, no questions, and no talking allowed.
You must always explain your answers and SHOW YOUR WORK
to

KOC
UNIVERSITY
MATH 102
SECOND MIDTERM
DECEMBER 8, 2015
Duration of Exam: 75 minutes
INSTRUCTIONS:
No calculators may be used on the test.
No books, no notes, no questions, and no talking allowed.
You must always explain your answers and SHOW YOUR WOR

KOC
UNIVERSITY
MATH 102
FIRST MIDTERM
November 11, 2015
Duration of Exam: 75 minutes
INSTRUCTIONS:
No calculators may be used on the test.
No books, no notes, no questions, and no talking allowed.
You must always explain your answers and SHOW YOUR WOR

KOC
UNIVERSITY
FALL 2013
MATH 102
FINAL EXAM
JANUARY 7, 2014
Duration of Exam: 135 minutes
INSTRUCTIONS:
No books, no notes, no questions, and talking allowed.
You must always explain your answers and show your work to receive full credit.
Print (use

KOC
UNIVERSITY
MATH 102
FINAL
May 24, 2014
Duration of Exam: 120 minutes
INSTRUCTIONS:
No calculators may be used on the test.
No books, no notes, no questions, and no talking allowed.
You must always explain your answers and SHOW YOUR WORK
to receive

Question 1. (30 Points)
Consider the function f (x) = 2x3 + cx2 + 2x.
a) For what values of c will this function have extrema (maxima and/or minima)?
b) Find the x-coordinates of the turning points (inflection points) in terms of c.
c) For what values of

KOQ UNIVERSITY
MATH 102
SECOND MIDTERM MAY 13, 2011
Duration of Exam: 75 minutes
INSTRUCTIONS:
:- No calculators may be used on the test.
I No books, no notes, no questions, and no talking allowed.
I You must always explain your answers and SHOW YOUR WORK