Screen Recording 2024-05-19 at 9.41.57 PM

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

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

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(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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2nd way: trig integral ∫(sec(x) tan(x))/(sec^2(x)-sec(x)) dx

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

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prob stat: Given events G & H:

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Find the median of 4,6,8,...,296

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Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?

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Review Add Math: Show a^m a^n = a^(m+n) where m & n are any 2 positive integers

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prob stat 2/2 ways: A couple has 6 children whose ages are 6,8,10,12,14,16.

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2 ways: trig exp derivative e^(sin(x)) sin(e^x)

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2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫x^5 √(1+x^3) dx

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1st/2ways: permutation Show P(n,2)+P(n,1)=n^2

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derivative (f(x))^n vs n^(g(x)) vs (f(x))^g(x)

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derivative log f(g(x)) (a)

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Sunday hackfight, Di pinalad c talisay sa pangalawang exam

PADRE BULIK 2X Toto

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1st way: Differentiate the function w.r.t x log10(x)+logx(10)+logx(x)+log10(10)

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review: prob stat Population variance vs sample variance

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2 ways: integral ∫(a^2-x^2) dx

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