1:36 AM + " 48.0 O K/S 200L SECOND SEMESTER.pdf Phoenix Files PROGRAMME: B.ENG LEVEL: 200 UNIVERSITY OF ABUJA FACULTY OF ENGINEERING SECOND SEMESTER EXAMINATION 2021/22 SESSION - (24TH APRIL 2023) FEG 221-ENGINEERING MATHEMATICS II UNITS: 3 TIME: 2.5 HOURS Instruction: Auswer Any Five (5) questions only. All questions carry equal marks. QUESTION ONE (14 marks) a. What are the real and imaginary part(s) of j(5-2)? b. For a vector = [3,0.-5] with a final/terminal point Q(4.1.2), i. What is the length of the vector? ii. What is the initial point "P"? iii. What is the unit vector in the direction a? QUESTION TWO (14 marks) (3 marks) (3 marks) (6 marks) (2 marks) Find the root of f(x) = x²+7x-2, using 'fixed point iteration'. Choose (start from) x = 1.000, and stop at the fifth iteration x (to 3 decimal places). Use the second term (x) of the equation (f(x)), as your starting point, NOT the first term (x²)! QUESTION THREE (14 marks) i. Using Linear Lagrange Interpolation, estimate the value of tan 25°, given that tan 20º-0.36397 and tan 30°-0.57735 ii. What is the error in the estimation? QUESTION FOUR (14 marks) (10 marks) (4 marks) Use the Naïve Gauss elimination method to solve the following: 5x+2x2-x=10 x₁-2x+x=8 2x+3x+2x=23 (1) (2) (3) QUESTION FIVE (14 marks) Use the Newton-Raphson method to find the root of f(x) = x²+6x-3. Let x 1.000, stop at x4 (to 3 decimal places). QUESTION SIX (14 marks) i. Find the limiting value of B2+3+1 as 71-co Sn-4 (6marks) ii. Given that the volume of a tetrahedron can be obtained from the scalar triple product of a parallelepiped, find the volume of a tetrahedron with the 3 edge vectors a be, where a [1.3-1] [2.-1.3], [3.-4,2) and = (8 marks) Rotate = |||| Q Search O כ Մ D Share
1:36 AM + " 48.0 O K/S 200L SECOND SEMESTER.pdf Phoenix Files PROGRAMME: B.ENG LEVEL: 200 UNIVERSITY OF ABUJA FACULTY OF ENGINEERING SECOND SEMESTER EXAMINATION 2021/22 SESSION - (24TH APRIL 2023) FEG 221-ENGINEERING MATHEMATICS II UNITS: 3 TIME: 2.5 HOURS Instruction: Auswer Any Five (5) questions only. All questions carry equal marks. QUESTION ONE (14 marks) a. What are the real and imaginary part(s) of j(5-2)? b. For a vector = [3,0.-5] with a final/terminal point Q(4.1.2), i. What is the length of the vector? ii. What is the initial point "P"? iii. What is the unit vector in the direction a? QUESTION TWO (14 marks) (3 marks) (3 marks) (6 marks) (2 marks) Find the root of f(x) = x²+7x-2, using 'fixed point iteration'. Choose (start from) x = 1.000, and stop at the fifth iteration x (to 3 decimal places). Use the second term (x) of the equation (f(x)), as your starting point, NOT the first term (x²)! QUESTION THREE (14 marks) i. Using Linear Lagrange Interpolation, estimate the value of tan 25°, given that tan 20º-0.36397 and tan 30°-0.57735 ii. What is the error in the estimation? QUESTION FOUR (14 marks) (10 marks) (4 marks) Use the Naïve Gauss elimination method to solve the following: 5x+2x2-x=10 x₁-2x+x=8 2x+3x+2x=23 (1) (2) (3) QUESTION FIVE (14 marks) Use the Newton-Raphson method to find the root of f(x) = x²+6x-3. Let x 1.000, stop at x4 (to 3 decimal places). QUESTION SIX (14 marks) i. Find the limiting value of B2+3+1 as 71-co Sn-4 (6marks) ii. Given that the volume of a tetrahedron can be obtained from the scalar triple product of a parallelepiped, find the volume of a tetrahedron with the 3 edge vectors a be, where a [1.3-1] [2.-1.3], [3.-4,2) and = (8 marks) Rotate = |||| Q Search O כ Մ D Share
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 78E
Related questions
Question
I need answers to question 3,4,5
![1:36 AM
+ " 48.0 O
K/S
200L SECOND SEMESTER.pdf
Phoenix Files
PROGRAMME: B.ENG
LEVEL: 200
UNIVERSITY OF ABUJA
FACULTY OF ENGINEERING
SECOND SEMESTER EXAMINATION 2021/22 SESSION - (24TH APRIL 2023)
FEG 221-ENGINEERING MATHEMATICS II
UNITS: 3
TIME: 2.5 HOURS
Instruction: Auswer Any Five (5) questions only. All questions carry equal marks.
QUESTION ONE (14 marks)
a. What are the real and imaginary part(s) of j(5-2)?
b. For a vector = [3,0.-5] with a final/terminal point Q(4.1.2),
i.
What is the length of the vector?
ii.
What is the initial point "P"?
iii.
What is the unit vector in the direction a?
QUESTION TWO (14 marks)
(3 marks)
(3 marks)
(6 marks)
(2 marks)
Find the root of f(x) = x²+7x-2, using 'fixed point iteration'. Choose (start from) x = 1.000,
and stop at the fifth iteration x (to 3 decimal places). Use the second term (x) of the equation
(f(x)), as your starting point, NOT the first term (x²)!
QUESTION THREE (14 marks)
i. Using Linear Lagrange Interpolation, estimate the value of tan 25°, given that tan 20º-0.36397
and tan 30°-0.57735
ii. What is the error in the estimation?
QUESTION FOUR (14 marks)
(10 marks)
(4 marks)
Use the Naïve Gauss elimination method to solve the following:
5x+2x2-x=10
x₁-2x+x=8
2x+3x+2x=23
(1)
(2)
(3)
QUESTION FIVE (14 marks)
Use the Newton-Raphson method to find the root of f(x) = x²+6x-3. Let x 1.000, stop at
x4 (to 3 decimal places).
QUESTION SIX (14 marks)
i. Find the limiting value of
B2+3+1
as 71-co
Sn-4
(6marks)
ii. Given that the volume of a tetrahedron can be obtained from the scalar triple product of a
parallelepiped, find the volume of a tetrahedron with the 3 edge vectors a be, where a
[1.3-1]
[2.-1.3], [3.-4,2) and =
(8 marks)
Rotate
=
||||
Q
Search
O
כ
Մ
D
Share](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a68319f-9330-46d1-9e00-c52bffe5fc25%2F2f05fa4f-ea41-4f08-83e5-16ef31d88e20%2Ft3mzlx9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1:36 AM
+ " 48.0 O
K/S
200L SECOND SEMESTER.pdf
Phoenix Files
PROGRAMME: B.ENG
LEVEL: 200
UNIVERSITY OF ABUJA
FACULTY OF ENGINEERING
SECOND SEMESTER EXAMINATION 2021/22 SESSION - (24TH APRIL 2023)
FEG 221-ENGINEERING MATHEMATICS II
UNITS: 3
TIME: 2.5 HOURS
Instruction: Auswer Any Five (5) questions only. All questions carry equal marks.
QUESTION ONE (14 marks)
a. What are the real and imaginary part(s) of j(5-2)?
b. For a vector = [3,0.-5] with a final/terminal point Q(4.1.2),
i.
What is the length of the vector?
ii.
What is the initial point "P"?
iii.
What is the unit vector in the direction a?
QUESTION TWO (14 marks)
(3 marks)
(3 marks)
(6 marks)
(2 marks)
Find the root of f(x) = x²+7x-2, using 'fixed point iteration'. Choose (start from) x = 1.000,
and stop at the fifth iteration x (to 3 decimal places). Use the second term (x) of the equation
(f(x)), as your starting point, NOT the first term (x²)!
QUESTION THREE (14 marks)
i. Using Linear Lagrange Interpolation, estimate the value of tan 25°, given that tan 20º-0.36397
and tan 30°-0.57735
ii. What is the error in the estimation?
QUESTION FOUR (14 marks)
(10 marks)
(4 marks)
Use the Naïve Gauss elimination method to solve the following:
5x+2x2-x=10
x₁-2x+x=8
2x+3x+2x=23
(1)
(2)
(3)
QUESTION FIVE (14 marks)
Use the Newton-Raphson method to find the root of f(x) = x²+6x-3. Let x 1.000, stop at
x4 (to 3 decimal places).
QUESTION SIX (14 marks)
i. Find the limiting value of
B2+3+1
as 71-co
Sn-4
(6marks)
ii. Given that the volume of a tetrahedron can be obtained from the scalar triple product of a
parallelepiped, find the volume of a tetrahedron with the 3 edge vectors a be, where a
[1.3-1]
[2.-1.3], [3.-4,2) and =
(8 marks)
Rotate
=
||||
Q
Search
O
כ
Մ
D
Share
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 9 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill