Problem 1: Given f(t) = t³-t² + 1,where f(t) is the distance an object travels per second and defined over interval [0, 4] with a step (h) = 1 second. Use difference table to answer questions (1, 2, 3, 4, and 5). 1) The maximum order of the polynomial that can be obtained from the given data is: (A) 3 (B) 2 (C) 4 (D) None 2) Starting from t=1, the distance that the object travels at t=0 seconds using P₂ (t) is: (A) 6 (B) 8 (C) 13 (D) None 3) The absolute error in the velocity of the object at t-2 second using P₂ (t) is: (A) 0 (B) 0.5 (C) 2 (D) None 4) Starting from t-2, the central acceleration for the object using P₂ (t) is: (A) 4 (B) 10 (C) 16 (D) None 5) Starting from t-1, the velocity of the object at t=0 second using P, (t) is: (A) 3 (B) 0 (C) 1 (D) None Problem 2: Using the function f(x) = x³ - x² +8 that is defined over [0,9] to answer questions (6, 7, 8, 9, 10, and 11). 6) If the interval [04] was divided into ten points including (0, f (0)), (9, f (9)), the estimated area under f (x) between [1, 5] using Trapezoidal numerical integration technique is: (A) 118 (B) 152 (C) 245 (D) None 7) Using a step size h=1 for the interval [0, 9], the area under f(x) between [0, 6] using Simpson's 3/8 Rule is: (A) 587 (B) 400 (C) 300 (D) None 8) Using three area segments between [0, 9], the estimated area under f(x) between [3, 6] using Simpson's 1/3 Rule is: (A) 245.75 (B) 178.25 (C) 264.75 (D) None
Problem 1: Given f(t) = t³-t² + 1,where f(t) is the distance an object travels per second and defined over interval [0, 4] with a step (h) = 1 second. Use difference table to answer questions (1, 2, 3, 4, and 5). 1) The maximum order of the polynomial that can be obtained from the given data is: (A) 3 (B) 2 (C) 4 (D) None 2) Starting from t=1, the distance that the object travels at t=0 seconds using P₂ (t) is: (A) 6 (B) 8 (C) 13 (D) None 3) The absolute error in the velocity of the object at t-2 second using P₂ (t) is: (A) 0 (B) 0.5 (C) 2 (D) None 4) Starting from t-2, the central acceleration for the object using P₂ (t) is: (A) 4 (B) 10 (C) 16 (D) None 5) Starting from t-1, the velocity of the object at t=0 second using P, (t) is: (A) 3 (B) 0 (C) 1 (D) None Problem 2: Using the function f(x) = x³ - x² +8 that is defined over [0,9] to answer questions (6, 7, 8, 9, 10, and 11). 6) If the interval [04] was divided into ten points including (0, f (0)), (9, f (9)), the estimated area under f (x) between [1, 5] using Trapezoidal numerical integration technique is: (A) 118 (B) 152 (C) 245 (D) None 7) Using a step size h=1 for the interval [0, 9], the area under f(x) between [0, 6] using Simpson's 3/8 Rule is: (A) 587 (B) 400 (C) 300 (D) None 8) Using three area segments between [0, 9], the estimated area under f(x) between [3, 6] using Simpson's 1/3 Rule is: (A) 245.75 (B) 178.25 (C) 264.75 (D) None
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q 7 please
![Problem 1: Given f(t) = t³-t² + 1,where f(t) is the distance an object travels
per second and defined over interval [0, 4] with a step (h) = 1 second. Use difference
table to answer questions (1, 2, 3, 4, and 5).
1) The maximum order of the polynomial that can be obtained from the given data is:
(A) 3
(B) 2
(C) 4
(D) None
2) Starting from t=1, the distance that the object travels at t=0 seconds using P₂ (t) is:
(A) 6
(B) 8
(C) 13
(D) None
3) The absolute error in the velocity of the object at t-2 second using P₂ (t) is:
(A) 0
(B) 0.5
(C) 2
(D) None
4) Starting from t-2, the central acceleration for the object using P₂ (t) is:
(A) 4
(B) 10
(C) 16
(D) None
5) Starting from t-1, the velocity of the object at t=0 second using P, (t) is:
(B) 0
(A) 3
(C) 1
(D) None
Problem 2: Using the function f(x) = x³ - x² + 8 that is defined over [0,9] to
answer questions (6, 7, 8, 9, 10, and 11).
6) If the interval [0] was divided into ten points including (0, f (0)), (9, f (9)), the
estimated area under 'f (x) between [1, 5] using Trapezoidal numerical integration
technique is:
(A) 118
(B) 152
(C) 245
(D) None
7) Using a step size h-1 for the interval [0, 9], the area under f(x) between [0, 6] using
Simpson's 3/8 Rule is:
(A) 587
(B) 400
(C) 300
(D) None
8) Using three area segments between [0, 9], the estimated area under f(x) between [3,
6] using Simpson's 1/3 Rule is:
(A) 245.75
(B) 178.25
(C) 264.75
(D) None](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F91f46b34-0751-4c2b-b50a-7cac5fe72d00%2F4ae732d9-fdce-4622-8544-3fd147816f3a%2F41uyek_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 1: Given f(t) = t³-t² + 1,where f(t) is the distance an object travels
per second and defined over interval [0, 4] with a step (h) = 1 second. Use difference
table to answer questions (1, 2, 3, 4, and 5).
1) The maximum order of the polynomial that can be obtained from the given data is:
(A) 3
(B) 2
(C) 4
(D) None
2) Starting from t=1, the distance that the object travels at t=0 seconds using P₂ (t) is:
(A) 6
(B) 8
(C) 13
(D) None
3) The absolute error in the velocity of the object at t-2 second using P₂ (t) is:
(A) 0
(B) 0.5
(C) 2
(D) None
4) Starting from t-2, the central acceleration for the object using P₂ (t) is:
(A) 4
(B) 10
(C) 16
(D) None
5) Starting from t-1, the velocity of the object at t=0 second using P, (t) is:
(B) 0
(A) 3
(C) 1
(D) None
Problem 2: Using the function f(x) = x³ - x² + 8 that is defined over [0,9] to
answer questions (6, 7, 8, 9, 10, and 11).
6) If the interval [0] was divided into ten points including (0, f (0)), (9, f (9)), the
estimated area under 'f (x) between [1, 5] using Trapezoidal numerical integration
technique is:
(A) 118
(B) 152
(C) 245
(D) None
7) Using a step size h-1 for the interval [0, 9], the area under f(x) between [0, 6] using
Simpson's 3/8 Rule is:
(A) 587
(B) 400
(C) 300
(D) None
8) Using three area segments between [0, 9], the estimated area under f(x) between [3,
6] using Simpson's 1/3 Rule is:
(A) 245.75
(B) 178.25
(C) 264.75
(D) None
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