CALCULUS I
FINAL EXAM
Sample 1
Student Name: ___________________________________________
Student ID Number: ______________________________________
Course Title: Calculus I
Duration of Exam: 2 Hours
Number of Exam Pages: 11 pages (including this cover sheet)
Exam Type: Closed book
Additional Materials Allowed: Calculator and Formula sheet
Total Mark: /100
1
,Q1. Find the linear approximation of f ( x) = 3
1 + x at a = 0 and use it to approximate the
number 3 1.1 . ( 10 Marks)
Answer.
2
, Q2. Use Newton’s method to show that the function “ y = x 4 + x − 4 ” has a root in the
interval [1 , 2]. Find the root correct to one decimal place. (10 Marks)
Answer.
3
FINAL EXAM
Sample 1
Student Name: ___________________________________________
Student ID Number: ______________________________________
Course Title: Calculus I
Duration of Exam: 2 Hours
Number of Exam Pages: 11 pages (including this cover sheet)
Exam Type: Closed book
Additional Materials Allowed: Calculator and Formula sheet
Total Mark: /100
1
,Q1. Find the linear approximation of f ( x) = 3
1 + x at a = 0 and use it to approximate the
number 3 1.1 . ( 10 Marks)
Answer.
2
, Q2. Use Newton’s method to show that the function “ y = x 4 + x − 4 ” has a root in the
interval [1 , 2]. Find the root correct to one decimal place. (10 Marks)
Answer.
3
