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Which one of the following methods estimates best the area of an irregular and curved boundary?
- a)Trapezoidal method
- b)Simpson's method
- c)Average ordinate method
- d)Mid-ordinate method
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Which one of the following methods estimates best the area of an irreg...
Explanation:
When it comes to estimating the area of an irregular and curved boundary, the Simpson's method is the best way to do so. The reason behind this is that this method provides the most accurate results.
What is Simpson's method?
Simpson's method is a numerical integration technique that uses quadratic approximations to estimate the area under a curve. It is a more accurate method than the Trapezoidal method and the Mid-ordinate method.
How does Simpson's method work?
Simpson's method works by dividing the area under the curve into a number of smaller sections that can be approximated by quadratic curves. The area of each of these sections is then calculated using the formula for the area of a quadratic curve. Finally, the sum of these areas is used to estimate the total area under the curve.
Advantages of Simpson's method:
There are several advantages to using Simpson's method to estimate the area of an irregular and curved boundary, including:
- It provides a more accurate estimate than other numerical integration techniques.
- It is relatively easy to use, requiring only basic knowledge of calculus and algebra.
- It can be used to estimate the area under any curve, regardless of its shape or complexity.
Conclusion:
In conclusion, Simpson's method is the best way to estimate the area of an irregular and curved boundary. This method provides the most accurate results and is relatively easy to use. It can be used to estimate the area under any curve, regardless of its shape or complexity.
When it comes to estimating the area of an irregular and curved boundary, the Simpson's method is the best way to do so. The reason behind this is that this method provides the most accurate results.
What is Simpson's method?
Simpson's method is a numerical integration technique that uses quadratic approximations to estimate the area under a curve. It is a more accurate method than the Trapezoidal method and the Mid-ordinate method.
How does Simpson's method work?
Simpson's method works by dividing the area under the curve into a number of smaller sections that can be approximated by quadratic curves. The area of each of these sections is then calculated using the formula for the area of a quadratic curve. Finally, the sum of these areas is used to estimate the total area under the curve.
Advantages of Simpson's method:
There are several advantages to using Simpson's method to estimate the area of an irregular and curved boundary, including:
- It provides a more accurate estimate than other numerical integration techniques.
- It is relatively easy to use, requiring only basic knowledge of calculus and algebra.
- It can be used to estimate the area under any curve, regardless of its shape or complexity.
Conclusion:
In conclusion, Simpson's method is the best way to estimate the area of an irregular and curved boundary. This method provides the most accurate results and is relatively easy to use. It can be used to estimate the area under any curve, regardless of its shape or complexity.
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Which one of the following methods estimates best the area of an irreg...
Which one of the following methods estimates best the area of an irregular and curved boundary? a)Trapezoidal method b)Simpson’s method c)Average ordinate method d)Mid-ordinate method Correct answer is option 'B'. Can you explain this answer?
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Which one of the following methods estimates best the area of an irregular and curved boundary?a)Trapezoidal methodb)Simpson's methodc)Average ordinate methodd)Mid-ordinate methodCorrect answer is option 'B'. Can you explain this answer?
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