ICEF 1st year Calculus
Exam 31 October 2015
Free Response Section No Calculators Allowed
4 questions
Time: 80 minutes
1. Consider a function f (x) =
x2
x3
2x 4
a) Find the domain of f (x).
b) Find al
ICEF 1st year Calculus
Exam 23 October 2012
Free Response Section No Calculators Allowed
4 questions
Time: 60 minutes
4
1. Recall that the volume of a sphere of radius R is V (R) = R3 , and 3.1416.
3
Free Response Section B
ICEF 1st year Calculus
Exam 28 Match 2015
Name:
Group:
2 questions
Calculators Required
Time: 40 minutes
1. The population of a variety of truffle increases at an annual rate e
ICEF 1st year Calculus
Exam 27 December 2012
Multiple Choice Section A No Calculators Allowed
25 questions
Time: 60 minutes
1. Detective Alexander revealed a corruption scheme in the Ministry of Magic
ICEF 1st year Calculus
Free Response Section
Exam 24 December 2014
5 questions
Time: 75 minutes
1. A cannonball was shot into the air from a platform at time t = 0. Its height (measured in feet)
as a
ICEF 1st year Calculus
Exam 30 December 2011
Multiple Choice Section A No Calculators Allowed
25 questions
Time: 50 minutes
1. Do you know that today is ICEFs birthday? Your Alma Maters age is a parti
ICEF 1st year Calculus
Exam 28 March 2013
Multiple Choice Section A No Calculators Permitted
28 questions
Time: 60 minutes
1. On what interval is the function f (x) = x4 + 2x2 + 1 increasing?
a) (1, )
ICEF 1st year Calculus
Exam 2 April 2016
Multiple Choice Section Calculator Active
15 questions
Time: 40 minutes
1. Which of the following is the slope field for the differential equation
2
2
1
1
0
0
ICEF 1st year Calculus
Exam 28 March 2013
Multiple Choice Section B Calculators Required
18 questions
Time: 50 minutes
1. Two particles leave the origin at the same time and move along the x-axis. The
ICEF 1st year Calculus
Exam 26 December 2015
Multiple Choice Section No Calculators Allowed
28 questions
Time: 80 minutes
y
6
1. Function f (x) is twice-differentiable on R and has a single
local mini
Question 1
1. John has 1000 euros on his savings account. The annual interest rate for his type of account is 15% without capitalization
(lucky John!). However, the interest can be capitalized in seve
ICEF 1st year Calculus
Exam 30 December 2011
Multiple Choice Section B Calculators Are Required
15 questions
1.
Time: 35 minutes
x + 6
lim
2
x( 6 ) cos x
a) 1.1547;
3
4
=
b) 0.6667;
c) 0.0000;
d) 0.6
CALCULUS AB
SECTION 1-A
Number of questions 25
2) Given that the function f (x) =
inequalities are true?
I.
11 > 52 6 + 53 13
II.
11 > 72 6 + 75 13
III.
11 > 92 6 + 97 13
a) I and II only
Time 50 minu
CALCULUS AB
SECTION 1-B
3) A particle is moving along the y-axis with velocity equal to
v(t) = e t3/t (t 2) for t > 0. At which of the following times will the
Time 40 minutes
particle be closest to w
ICEF 1st year Calculus
Exam 28 March 2015
Multiple Choice Section A No Calculators Allowed
28 questions
Time: 60 minutes
y
6
2
1. The graph of a piecewise-linear function f , for
1Z x 4, is shown on t
ICEF 1st year Calculus
Exam 28 March 2015
Multiple Choice Section B Calculators Required
17 questions
Time: 40 minutes
1. Which of the following inequalities is true if
A = 20002018 ,
B = 20042016 ,
C
ICEF 1st year Calculus
Free Response Section
Exam 26 December 2015
Name, group:
4 questions
Time: 80 minutes
1
1. Consider the graph y = .
x
a) Write the equation of a tangent line `p to this curve at
ICEF 1st year Calculus
Exam 1 November 2014
Free Response Section No Calculators Allowed
4 questions
Time: 80 minutes
1. Let f be the function given by f (x) =
x1
4x2 1
a) Find the domain of the func
Free Response Calculator Active
ICEF 1st year Calculus
Exam 2 April 2016
Name, group:
2 questions
Time: 40 minutes
1. The overall number of ICEF students depends on how one counts. Well assume that 10
ICEF 1st year Calculus
Exam 29 March 2014
Free Response Section No Calculators Allowed
3 questions
Time: 45 minutes
<x< .
4
2
(a) Write an equation for the line tangent to the graph of f at the point
ICEF 1st year Calculus
Exam 3 November 2013
Multiple Choice Section No Calculators Allowed
30 questions
Time: 60 minutes
y
26
1. The graph of the function f is shown on the
right. Which of the followi
ICEF 1st year Calculus
Exam 2 April 2016
Multiple Choice Section A No Calculators Allowed
28 questions
Time: 60 minutes
y
6
y = f (x)
2
2
0
2
4
-x
6
1. The graph
Z xof the function f (x) shown above c
ICEF 1st year Calculus
Exam 24 December 2014
Multiple Choice Section No Calculators Allowed
28 questions
Time: 75 minutes
1. Which of the following functions solves the initial value problem xy 0 + y
ICEF 1st year Calculus
Exam 28 March 2013
Free Response Section A
No Calculators Allowed
3 questions for 45 minutes
1. Let f be the function given by f (x) =
x+2
.
x2 + 5
a) Find lim f (x) and lim f (
Free Response No Calculator
ICEF 1st year Calculus
Exam 2 April 2016
Name, group:
4 questions
Time: 60 minutes
1. Let f be the function defined by f (x) = 6x5 5x6 + 7
a) Write the equations of all the
ICEF 1st year Calculus
Exam 29 March 2014
Multiple Choice Section No Calculators Allowed
28 questions
Time: 60 minutes
y
26
1. The graph of the function y = f (x) is shown
on the right. The derivative
ICEF 1st year Calculus
Exam 29 March 2014
Multiple Choice Section Calculators Required
18 questions
Time: 45 minutes
1. The volume of the solid generated by rotation of the region bounded by the curve