2021) Q1: Choose the correct Answer: x-3y = 2 has 2x - 6y=4 1- The Jinear system 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)=se² at x=1.25 is A) 203.8 B) 253.8 3- Given y' + y² = x², 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 ff(x)dx the true error E, can be found directly as well as exactly by using the formula Et (b-a)³ == f" (8) a≤8
2021) Q1: Choose the correct Answer: x-3y = 2 has 2x - 6y=4 1- The Jinear system 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)=se² at x=1.25 is A) 203.8 B) 253.8 3- Given y' + y² = x², 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 ff(x)dx the true error E, can be found directly as well as exactly by using the formula Et (b-a)³ == f" (8) a≤8
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
![2021)
Q1: Choose the correct Answer:
x-3y = 2 has
2x - 6y=4
1- The Jinear system
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)=se² at x=1.25 is
A) 203.8
B) 253.8
3- Given y' + y² = x², 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
ff(x)dx the true error E, can be found directly as well as exactly by using the
formula Et
(b-a)³
==
f" (8) a≤8<b
12
(A) f(x) = ex
(B) x3 + 3x
(C) 5x² + e* (D) 5x² +3
5- A(1+A)¯ =
AJA
B) V
C) F[x0,x1]
D) 8
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
X
-1
1
F
3
1
26
6
X
-1
-0.5 0
0.5
1
Q4: Given the following table:
F
-5 -0.5 α a
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%2F3335fa06-d7f8-4ecd-b984-1a94d9b52943%2F186c38c5-bfb6-4e00-95bc-e3b2f12cc2f9%2Fm63sr1c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2021)
Q1: Choose the correct Answer:
x-3y = 2 has
2x - 6y=4
1- The Jinear system
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)=se² at x=1.25 is
A) 203.8
B) 253.8
3- Given y' + y² = x², 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
ff(x)dx the true error E, can be found directly as well as exactly by using the
formula Et
(b-a)³
==
f" (8) a≤8<b
12
(A) f(x) = ex
(B) x3 + 3x
(C) 5x² + e* (D) 5x² +3
5- A(1+A)¯ =
AJA
B) V
C) F[x0,x1]
D) 8
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
X
-1
1
F
3
1
26
6
X
-1
-0.5 0
0.5
1
Q4: Given the following table:
F
-5 -0.5 α a
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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