STPM Math T Sem.2: 12.1 Numerical solution of Equations

Find the median of 4,6,8,...,296

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Review: Linear form, Quadratic form & Bilinear form

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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2nd/3ways: trig integral ∫sec(x) dx

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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#5 MIT 2022 Integration Bee Qualifying Exam

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1st/3part: Maclaurin Series [ahp kia]

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GPT4: A tweet snippet from Michal Kosinski

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Show that ar sinh(x) = ln(x + √ (x^2+1))

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2 ways: integral ∫ 1/(x^2 √(1+x^2)) dx

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4th/4parts: Maclaurin Series [ahp kia]

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2nd/2 ways: FInd partial fractions (3x^2+9x-20)/(x^2+x-6)

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2nd/3 parts: Growing patterns

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