prob stat OCR #8 The Normal variable X is transformed to the Normal variable Y. ...

UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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

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

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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

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Review: Linear form, Quadratic form & Bilinear form

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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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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2 ways: sq root derivative 1/(√√(1/√x))

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Pantun Melayu [Buah cempedak di luar pagar]

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integral ∫ x dx withOUT using Power rule.

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Find the equation of the tangent line to the curve x^3-3y^3+xy+21=0 at the point (1,2)

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Lamar U: #11 trig integral ∫csc^6(x/4) cot^4(x/4) dx

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Alternate way: sq root integral ∫1/√((x-α)(x-β)) dx

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Thanks to the “revolutionary old base” of Paris—by blowing itself up, it showed the whole world just

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GPT4: A tweet snippet from Michal Kosinski

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4 ways: sum Find the sum of the values of 4+3i for i=1,2,...,100

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STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]

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Diff Eq: Solve sec(x) dy/dx=y+sin(x) via Integrating factor [IF]

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Lamar U: Derivatives of Exponential & Log Functions Practice Problems.

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3rd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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