15) Using 4 order Rung-Kutta method, the value of K₂ needed to evaluate y(1) is (A) 0.75 (D) None (B) 0.5 (C) 1
15) Using 4 order Rung-Kutta method, the value of K₂ needed to evaluate y(1) is (A) 0.75 (D) None (B) 0.5 (C) 1
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
Q 15 please
![9) If the interval [0, 9] was divided into four points including (0, f(0)), (9, f (9)), the
estimated area under f(x) between [0, 9] using Simpson's 1/3 Rule then Trapezoidal
Rule is:
(A) 1289
(B) 1358
(C) 1566
(D) None
10) If the step (h)-0.5 for the interval [0, 9], then by using Trapezoidal, the number of
data points needed to evaluate the area of f(x) between [0, 9] is:
(A) 30
(B) 31
(C) 19
(D) None
11) If the interval [0, 9] was divided into seven points including (0, f(0)), (9, F(9)).
the area under f(x) between [0, 6] can't be evaluated using only:
(A) Simpson's 3/8 (B) Simpson's 1/3 (C) Trapezoidal (D) None
ay
Problem 3: Given = (x + y - 1), y(0) = 1, defined over the interval (0, 3)
with a step h-1. Answer questions (12, 13, 14, 15, and 16).
dx
12) The estimated value of y(2) using Euler Method is:
(A) 2
(B) S
(C) 4
(D) None
13) The estimated value of y(1) using Modified (Improved) Euler Method is
(B) 1.5
(A) 2.5
(C) 3.25
(D) None
14) Given the first three terms of Taylor's Series formula needed to find the value of
y as yo-y+h*y/'+(h/2) y". The value of y(2) is:
(A) 3.5
(B) 2.5
(C) 4. S
(D) None
15) Using 4 order Rung-Kutta method, the value of K₂ needed to evaluate y(1) is
(A) 0.75
(B) 0.5
(C) 1
(D) None
16) the value of yo" is:
(A) 3
(D) None
Problem 4: Use the following set of equations to answer questions (17, 18, 19, 20,
21, and 22)
(A) x₁ =
1
17) According to the iterative methods, the equation that is used to find the value of x
is:
4
5
2
1
(C) x₁=5
(B) 1
X2
X2
6x₁- 8x₂ = 1
4x₁ + 3x₂ = 2
(1)
(2)
(B) x₁ =>
(D) None
18) If (x,x))-(1, 2). The value of x) by Jacobi is:
(A) -5/6
(B)-4/3
(C)-3/8
(D) None](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F91f46b34-0751-4c2b-b50a-7cac5fe72d00%2F44e2516b-1069-4058-af5a-e3ad2113cc7b%2Fm41kqq8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:9) If the interval [0, 9] was divided into four points including (0, f(0)), (9, f (9)), the
estimated area under f(x) between [0, 9] using Simpson's 1/3 Rule then Trapezoidal
Rule is:
(A) 1289
(B) 1358
(C) 1566
(D) None
10) If the step (h)-0.5 for the interval [0, 9], then by using Trapezoidal, the number of
data points needed to evaluate the area of f(x) between [0, 9] is:
(A) 30
(B) 31
(C) 19
(D) None
11) If the interval [0, 9] was divided into seven points including (0, f(0)), (9, F(9)).
the area under f(x) between [0, 6] can't be evaluated using only:
(A) Simpson's 3/8 (B) Simpson's 1/3 (C) Trapezoidal (D) None
ay
Problem 3: Given = (x + y - 1), y(0) = 1, defined over the interval (0, 3)
with a step h-1. Answer questions (12, 13, 14, 15, and 16).
dx
12) The estimated value of y(2) using Euler Method is:
(A) 2
(B) S
(C) 4
(D) None
13) The estimated value of y(1) using Modified (Improved) Euler Method is
(B) 1.5
(A) 2.5
(C) 3.25
(D) None
14) Given the first three terms of Taylor's Series formula needed to find the value of
y as yo-y+h*y/'+(h/2) y". The value of y(2) is:
(A) 3.5
(B) 2.5
(C) 4. S
(D) None
15) Using 4 order Rung-Kutta method, the value of K₂ needed to evaluate y(1) is
(A) 0.75
(B) 0.5
(C) 1
(D) None
16) the value of yo" is:
(A) 3
(D) None
Problem 4: Use the following set of equations to answer questions (17, 18, 19, 20,
21, and 22)
(A) x₁ =
1
17) According to the iterative methods, the equation that is used to find the value of x
is:
4
5
2
1
(C) x₁=5
(B) 1
X2
X2
6x₁- 8x₂ = 1
4x₁ + 3x₂ = 2
(1)
(2)
(B) x₁ =>
(D) None
18) If (x,x))-(1, 2). The value of x) by Jacobi is:
(A) -5/6
(B)-4/3
(C)-3/8
(D) None
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