1. The cross section of a scale model of a hill is modelled by the following graph. }^ 10 8 6 4 2 0 0 10 20 30 The heights of the model are measured at horizontal intervals and are given in the table. Horizontal distance, x cm 010203040 Vertical distance, y cm 0 3890 [N/A] hot bruod 10wol bris briuad It is given that the equation of the curve is y = 0.04x² -0.001x³, 0 ≤x≤ 40. signs (b.i) Write down an integral to find the exact cross-sectional area. [[N/A]] (a) Use the trapezoidal rule with h = 10 to find an approximation for the cross-sectional area of the model. bnuod anil enimsled (0) (b.ii) Calculate the value of the cross-sectional area to two decimal places. 40 (c) Find the percentage error in the area found using the trapezoidal rule. 74 [2] [2] [2] [2]
1. The cross section of a scale model of a hill is modelled by the following graph. }^ 10 8 6 4 2 0 0 10 20 30 The heights of the model are measured at horizontal intervals and are given in the table. Horizontal distance, x cm 010203040 Vertical distance, y cm 0 3890 [N/A] hot bruod 10wol bris briuad It is given that the equation of the curve is y = 0.04x² -0.001x³, 0 ≤x≤ 40. signs (b.i) Write down an integral to find the exact cross-sectional area. [[N/A]] (a) Use the trapezoidal rule with h = 10 to find an approximation for the cross-sectional area of the model. bnuod anil enimsled (0) (b.ii) Calculate the value of the cross-sectional area to two decimal places. 40 (c) Find the percentage error in the area found using the trapezoidal rule. 74 [2] [2] [2] [2]
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
![1.
The cross section of a scale model of a hill is modelled by the following graph.
}^
10
8
6
4
2
0
0
10
20
30
The heights of the model are measured at horizontal intervals and are given in the table.
Horizontal distance, x cm 010203040
Vertical distance, y cm 0 3890
[N/A]
hot bruod 10wol bris briuad
It is given that the equation of the curve is y = 0.04x² -0.001x³, 0 ≤x≤ 40.
signs
(b.i) Write down an integral to find the exact cross-sectional area.
[[N/A]]
(a) Use the trapezoidal rule with h = 10 to find an approximation for the cross-sectional area of
the model.
bnuod
anil enimsled (0)
(b.ii) Calculate the value of the cross-sectional area to two decimal places.
40
(c) Find the percentage error in the area found using the trapezoidal rule.
74
[2]
[2]
[2]
[2]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe025bdf4-e1c8-48f6-bbfc-010b39b44a45%2F6bfb594f-74ec-4070-94b4-f969176173ef%2F4fvkmrn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1.
The cross section of a scale model of a hill is modelled by the following graph.
}^
10
8
6
4
2
0
0
10
20
30
The heights of the model are measured at horizontal intervals and are given in the table.
Horizontal distance, x cm 010203040
Vertical distance, y cm 0 3890
[N/A]
hot bruod 10wol bris briuad
It is given that the equation of the curve is y = 0.04x² -0.001x³, 0 ≤x≤ 40.
signs
(b.i) Write down an integral to find the exact cross-sectional area.
[[N/A]]
(a) Use the trapezoidal rule with h = 10 to find an approximation for the cross-sectional area of
the model.
bnuod
anil enimsled (0)
(b.ii) Calculate the value of the cross-sectional area to two decimal places.
40
(c) Find the percentage error in the area found using the trapezoidal rule.
74
[2]
[2]
[2]
[2]
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