CALCULUS I
FINAL EXAM
Sample 3
Student Name: ___________________________________________
Student ID Number: ______________________________________
Course Title: Calculus I
Duration of Exam: 2 Hours
Number of Exam Pages: 10 pages (including this cover sheet)
Exam Type: Closed book
Additional Materials Allowed: Calculator and Formula sheet
Total Mark: /100
, — 2—
Caculus I FINAL EXAM
1. Find each of the following limits:
x2 1
(a) lim
x!1 x2 + 8x 9
5x2 + 6x 7
(b) lim
x!1 2x3 3x 10
jx 2j
(c) lim
x!2 x2 4
, — 3—
Caculus I FINAL EXAM
2. Let f (x) = 11 + 12x x3 .
Discuss the curve y = f (x) with respect to:
(a) Identify where the extrema of f occur.
(b) Find the intervals on which f is increasing and the intervals on which
f is decreasing.
(c) Find where the graph is concave up and where it is concave down.
(d) Find any in‡ection points.
FINAL EXAM
Sample 3
Student Name: ___________________________________________
Student ID Number: ______________________________________
Course Title: Calculus I
Duration of Exam: 2 Hours
Number of Exam Pages: 10 pages (including this cover sheet)
Exam Type: Closed book
Additional Materials Allowed: Calculator and Formula sheet
Total Mark: /100
, — 2—
Caculus I FINAL EXAM
1. Find each of the following limits:
x2 1
(a) lim
x!1 x2 + 8x 9
5x2 + 6x 7
(b) lim
x!1 2x3 3x 10
jx 2j
(c) lim
x!2 x2 4
, — 3—
Caculus I FINAL EXAM
2. Let f (x) = 11 + 12x x3 .
Discuss the curve y = f (x) with respect to:
(a) Identify where the extrema of f occur.
(b) Find the intervals on which f is increasing and the intervals on which
f is decreasing.
(c) Find where the graph is concave up and where it is concave down.
(d) Find any in‡ection points.
