U of Auckland: proc & stat Let X be a continuous random variable with p.d.f

Do you know ... paper folding ...

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Pantun Melayu [Sorong papan tarik papan]

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Difference of 2 nonconsecutive triangular numbers

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Show log b^n(x^m) = m/n logb(x)

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Texas Tech: Find integral #7 ∫xsin(x^2) dx vs #5 ∫xsin^2(x) dx

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2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫3x/((x-2)(x+1)) dx

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alternate way: count sum 1+2+3+ ... +n

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exp integral e^x (f(x) + f'(x)) dx

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2 ways: integral ∫x/(x+a) dx

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Review: Arithmetic Series a+(a+d)+(a+2d)+...+(a+(n-1)d)=

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Conversion: Permutation - Combination vice versa

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UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]

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The pth, qth, & rth terms of an AP are x,y,z respectively.

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Alternate way: trig integral ∫cos(x) dx

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2nd Alternate: trig integral ∫cos(x) dx

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UC Davis#2: 2nd way integral ∫(2x+3)/(x^2-9) dx [integration by partial fraction]

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logic: Simplify the Boolean function F=XYZ+XY'Z+XYZ'

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UC Davis #6: ∫ (2+tan(x))^2 dx

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Alternate way: trig integral ∫sin(x) dx

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3rd/3ways: exp Derivative x^x

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