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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
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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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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.
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Pantun Melayu [Buah cempedak di luar pagar]
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1st/3parts: Checkpoint 1.1 STPM Math T Sem2
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2 ways: derivative x √√x
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Example: Find the sum
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2nd/2ways: Taylor series of cos(x)
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Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c
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trig integral ∫1/(√sin(x) √cos^7(x)) dx
2nd/2parts: Linear interpolation (2 given points)
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1st/3ways: derivative If f(x)=(x-a)(x-b)(x-c), show f'(x)/f(x)=1/(x-1)+1/(x-b)+1/(x-c)
1st way: Differentiate the function w.r.t x log10(x)+logx(10)+logx(x)+log10(10)
integral Find ∫1/(9-4x^2) dx
UT Austin: sq root ∫(1+√x)^3/√x dx
3 ways: Derivative y=x^(m/n)
Iowa State U [Fall 2019]: integral Find the integral
2 ways: derivative Find dy/dx, where tan(x+y)+tan(x-y)=1
CMU: Find these integrals (a)-(b)