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Excel in math and science
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Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
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Concept Quizzes
Let \( f(x) = x^3 − 72x − 220.\) Given that \(f(x)=0\) has a root near \( x = 12, \) compute \( x_1 \) by using Newton-Raphson method starting with \(x_0=12.\)
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
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including olympiad champions, researchers, and professionals.
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by Brilliant Staff
By using the Newton-Raphson method, find the positive root of the following quadratic equation correct to \( 5 \) significant figures: \[ x^2 + 9x – 5 = 0. \]
Start with \( x_0 = 2.2. \)
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
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by Brilliant Staff
Use the Newton-Raphson method, correct to \( 5 \) significant figures, to get the root near \( x = 2\) of the equation \( f(x) = x^3 - 3x - 8.\)
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
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by Brilliant Staff
The equation \( f(x) = 4e^x - 12 \) has a root near \( x = 1. \) Use the Newton-Raphson method to calculate the root correct to \( 5 \) significant figures.
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
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by Brilliant Staff
Let \( f(x) = 4 x^2 − 8. \) Which of the following is the correct representation of \( x_{n+1} \) that Newton-Raphson method leads to?
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
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by Brilliant Staff