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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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2nd way: integral ∫ log √x(x^n) 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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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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Pantun Melayu [Buah cempedak di luar pagar]
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
Pantun Melayu [Pulau Pandan Jauh Ke Tengah]
prob stat: Two events are such that P(A)=0.6, P(B)=0.5 & P(AUB)=0.85
Find the mean 118,50,84,67,101 withOUT calculation. Support your answer.
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2 ways: trig integral cos^2(x) sin^2(x) dx
Screen Recording 2024-02-22 at 10.09.39 PM
2 ways: trig integral ∫sec^2(ax+b) tan(ax+b) dx
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1st/2 parts stat: SLR SLR Regression lline always goes through the point (x̄, ȳ)
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Show integral 1/(x^2(x^2+a^2)) dx = -1/(a^2x) - 1/a^3 arc tan(x/a)
prob stat: The prob. that it will snow tomorrow is 0.75.