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A series of perpendicular offsets taken from a curved boundary wall to a straight survey line at an interval of 6 m are 1.22, 1.67, 2.04, 2.34, 2.14, 1.87, and 1.15 m. The area (in m2, round off to 2 decimal places) boundary by the survey line, curved boundary wall, the first and the last offsets, determined using Simpson’s rule, is _______.
    Correct answer is '68.50'. Can you explain this answer?
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    A series of perpendicular offsets taken from a curved boundary wall to...
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    A series of perpendicular offsets taken from a curved boundary wall to...
    To find the area bounded by the survey line, curved boundary wall, and the first and last offsets, we can use Simpson's rule. Simpson's rule is a numerical method for approximating definite integrals. In this case, we can treat the offsets as the y-values and the intervals (6 m) as the x-values.

    First, we need to calculate the sum of the y-values (offsets):

    1.22 + 1.67 + 2.04 + 2.34 + 2.14 + 1.87 + 1.15 = 12.43

    Next, we need to calculate the sum of the even-indexed y-values (excluding the first and last offsets):

    1.67 + 2.34 + 1.87 = 5.88

    Next, we need to calculate the sum of the odd-indexed y-values (excluding the first and last offsets):

    1.22 + 2.04 + 2.14 + 1.15 = 6.55

    Now, we can calculate the area using Simpson's rule:

    Area = (6/3) * (y0 + 4*y1 + 2*y2 + 4*y3 + 2*y4 + 4*y5 + y6)

    Area = (6/3) * (1.22 + 4*1.67 + 2*2.04 + 4*2.34 + 2*2.14 + 4*1.87 + 1.15)

    Area = (2) * (1.22 + 6.68 + 4.08 + 9.36 + 4.28 + 7.48 + 1.15)

    Area = 2 * (34.25)

    Area = 68.50 m^2

    Therefore, the area bounded by the survey line, curved boundary wall, and the first and last offsets is approximately 68.50 m^2.
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    A series of perpendicular offsets taken from a curved boundary wall to a straight survey line at an interval of 6 m are 1.22, 1.67, 2.04, 2.34, 2.14, 1.87, and 1.15 m. The area (in m2, round off to 2 decimal places) boundary by the survey line, curved boundary wall, the first and the last offsets, determined using Simpson’s rule, is _______.Correct answer is '68.50'. Can you explain this answer?
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    A series of perpendicular offsets taken from a curved boundary wall to a straight survey line at an interval of 6 m are 1.22, 1.67, 2.04, 2.34, 2.14, 1.87, and 1.15 m. The area (in m2, round off to 2 decimal places) boundary by the survey line, curved boundary wall, the first and the last offsets, determined using Simpson’s rule, is _______.Correct answer is '68.50'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A series of perpendicular offsets taken from a curved boundary wall to a straight survey line at an interval of 6 m are 1.22, 1.67, 2.04, 2.34, 2.14, 1.87, and 1.15 m. The area (in m2, round off to 2 decimal places) boundary by the survey line, curved boundary wall, the first and the last offsets, determined using Simpson’s rule, is _______.Correct answer is '68.50'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A series of perpendicular offsets taken from a curved boundary wall to a straight survey line at an interval of 6 m are 1.22, 1.67, 2.04, 2.34, 2.14, 1.87, and 1.15 m. The area (in m2, round off to 2 decimal places) boundary by the survey line, curved boundary wall, the first and the last offsets, determined using Simpson’s rule, is _______.Correct answer is '68.50'. Can you explain this answer?.
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