{"@context":"https://schema.org/","@type":"Quiz","dateCreated":"2026-07-13T12:02:49.442Z","dateModified":"2026-07-13T12:02:49.442Z","typicalAgeRange":"11-18","educationalLevel":"ICAR AIEEA (PG)","assesses":"Statistical Science - Calculus","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalTopic","targetName":"Calculus"},{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"Statistical Science"},{"@type":"AlignmentObject","alignmentType":"educationalExam","targetName":"ICAR AIEEA (PG)"}],"name":"Quiz about Calculus","about":{"@type":"Thing","name":"Statistical Science - Calculus"},"hasPart":[{"@type":"Question","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","educationalLevel":"intermediate","name":"Question About Calculus","text":"The formula to solve simple nonlinear equation $$f(x) = 0$$ by Newton's Raphson Method is given by}","encodingFormat":"text/markdown","comment":{"@type":"Comment","text":"Remember the formula: \$x_{n+1} = x_n - \\frac{f(x_n)}{f'(x_n)}\$. \nEnsure \$f'(x_n) \\neq 0\$ to avoid division by zero."},"suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

\$x_{n+1} = x_n - \\frac{f(x_n)}{f'(x_n)}\$

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":1,"encodingFormat":"text/markdown","text":"

\$x_{n+1} = x_n - \\frac{f'(x_n)}{f(x_n)}\$

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":2,"encodingFormat":"text/markdown","text":"

\$x_{n+1} = f(x_n) - \\frac{f'(x_n)}{f'(x_n)}\$

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":3,"encodingFormat":"text/markdown","text":"

\$x_{n+1} = f(x_n) - \\frac{f'(x_n)}{f'(x_n)}\$\n\n

","comment":{"@type":"Comment","text":"\"\""}}],"acceptedAnswer":{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

\$x_{n+1} = x_n - \\frac{f(x_n)}{f'(x_n)}\$

","comment":{"@type":"Comment","text":"Remember the formula: \$x_{n+1} = x_n - \\frac{f(x_n)}{f'(x_n)}\$. \nEnsure \$f'(x_n) \\neq 0\$ to avoid division by zero."},"answerExplanation":{"@type":"comment","text":""}}}]}

The formula to solve simple nonlinear equation \(f(x) = 0\) by Newton's Raphson Method is given by

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