Q1: Choose the correct Answer: x-3y=2 1- The linear system 2x - 6y=4 has A) uniqe solusion B) Two solution C) no solution D) infinity soution 2- Using the forward divided difference approximation with a step size h= 0.2, the derivative of f(x)=5e at x=1.25 is A) 203.8 B) 253.8 3- Given y' + y²x², y(0.3) = 5 C) 257.8 D) 258.8 The value of y(0.6) using Euler method and step size h=0.3 is A) -1.453 B)-2.374 C) -2.743 D) -2.473 4- Without using the formula for the 1-segment trapezoidal rule for estimating f(x)dx the true error E, can be found directly as well as exactly by using the formula Et (A) f(x) = 12 (B) x3 + 3x (b-a)³ f" (8) ass b (C) 5x² + ex (D) 5x² +3 B) V C) F[x0,x1] D) 8 Jim M 5- A(1+A) Q2: Using the Newton-Raphson method, find with initial approximation x = 0.1 (use one iterations). Q3:Find polynomial p(x) from the following table Χ -1 1 2 " F 3 1 6 X -1 -0.5 0 0.5 0.5 1 Q4: Given the following table: F -5 -0.5 a a 1 Find a if the composite trapezoidal value gives value 1.75. Q5: State the laws of numerical methods for ordinary differential equations.
Q1: Choose the correct Answer: x-3y=2 1- The linear system 2x - 6y=4 has A) uniqe solusion B) Two solution C) no solution D) infinity soution 2- Using the forward divided difference approximation with a step size h= 0.2, the derivative of f(x)=5e at x=1.25 is A) 203.8 B) 253.8 3- Given y' + y²x², y(0.3) = 5 C) 257.8 D) 258.8 The value of y(0.6) using Euler method and step size h=0.3 is A) -1.453 B)-2.374 C) -2.743 D) -2.473 4- Without using the formula for the 1-segment trapezoidal rule for estimating f(x)dx the true error E, can be found directly as well as exactly by using the formula Et (A) f(x) = 12 (B) x3 + 3x (b-a)³ f" (8) ass b (C) 5x² + ex (D) 5x² +3 B) V C) F[x0,x1] D) 8 Jim M 5- A(1+A) Q2: Using the Newton-Raphson method, find with initial approximation x = 0.1 (use one iterations). Q3:Find polynomial p(x) from the following table Χ -1 1 2 " F 3 1 6 X -1 -0.5 0 0.5 0.5 1 Q4: Given the following table: F -5 -0.5 a a 1 Find a if the composite trapezoidal value gives value 1.75. Q5: State the laws of numerical methods for ordinary differential equations.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Q1: Choose the correct Answer:
x-3y=2
1- The linear system 2x - 6y=4
has
A) uniqe solusion
B) Two solution
C) no solution D) infinity soution
2- Using the forward divided difference approximation with a step size h= 0.2, the
derivative of f(x)=5e at x=1.25 is
A) 203.8
B) 253.8
3- Given y' + y²x², y(0.3) = 5
C) 257.8
D) 258.8
The value of y(0.6) using Euler method and step size h=0.3 is
A) -1.453
B)-2.374
C) -2.743
D) -2.473
4- Without using the formula for the 1-segment trapezoidal rule for estimating
f(x)dx the true error E, can be found directly as well as exactly by using the
formula Et
(A) f(x) =
12
(B) x3 + 3x
(b-a)³
f" (8) ass b
(C) 5x² + ex (D) 5x² +3
B) V
C) F[x0,x1]
D) 8
Jim M
5- A(1+A)
Q2: Using the Newton-Raphson method, find with initial approximation x = 0.1
(use one iterations).
Q3:Find polynomial p(x) from the following table
Χ
-1
1
2
"
F
3
1
6
X
-1 -0.5
0 0.5
0.5 1
Q4: Given the following table:
F -5 -0.5 a
a
1
Find a if the composite trapezoidal value gives value 1.75.
Q5: State the laws of numerical methods for ordinary differential equations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3446641c-8330-47e8-becf-906765f9cb3d%2F4e958a90-4086-4207-bd75-f5a0092f96c8%2Flrpa40f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q1: Choose the correct Answer:
x-3y=2
1- The linear system 2x - 6y=4
has
A) uniqe solusion
B) Two solution
C) no solution D) infinity soution
2- Using the forward divided difference approximation with a step size h= 0.2, the
derivative of f(x)=5e at x=1.25 is
A) 203.8
B) 253.8
3- Given y' + y²x², y(0.3) = 5
C) 257.8
D) 258.8
The value of y(0.6) using Euler method and step size h=0.3 is
A) -1.453
B)-2.374
C) -2.743
D) -2.473
4- Without using the formula for the 1-segment trapezoidal rule for estimating
f(x)dx the true error E, can be found directly as well as exactly by using the
formula Et
(A) f(x) =
12
(B) x3 + 3x
(b-a)³
f" (8) ass b
(C) 5x² + ex (D) 5x² +3
B) V
C) F[x0,x1]
D) 8
Jim M
5- A(1+A)
Q2: Using the Newton-Raphson method, find with initial approximation x = 0.1
(use one iterations).
Q3:Find polynomial p(x) from the following table
Χ
-1
1
2
"
F
3
1
6
X
-1 -0.5
0 0.5
0.5 1
Q4: Given the following table:
F -5 -0.5 a
a
1
Find a if the composite trapezoidal value gives value 1.75.
Q5: State the laws of numerical methods for ordinary differential equations.
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