Screen Recording 2023-12-30 at 9.34.01 PM

Screen Recording 2024-05-18 at 11.12.27 PM

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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logic Idempotent law show x=xVx

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prob stat: A population of N=5 scores has a mean µ= 12. What is ∑X for this sample?

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2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫x^5 √(1+x^3) dx

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multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.

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The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.

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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))

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😂🎭👬📺15

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Screen Recording 2024-05-19 at 11.13.23 PM

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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3

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3 ways: sum Show 1+3+5+...nth term = n^2

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prob stat: A fair 6-sided dice, with sides numbered 1,1,2,2,3,55 is thrown.

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1st/2parts: Linear interpolation (2 given points)

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2 ways: integral ∫(a^2-x^2) dx

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😂🎭👬📺10

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😂🎭👬📺7

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

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😂🎭👬📺14

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