2nd part: n^2 = (tn - tn-1)^2 where tn = nth triangular number

2nd/2ways: [k map] logic Simplify the Boolean function F=A'B'C+A'BC+AB'

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logic Idempotent law show x=xVx

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx

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3rd/3ways: exp Derivative x^x

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1st/2ways: Taylor series of sin(x)

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2nd/2 way: Expand e^sin(x) by Maclaurin's Theorem

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Bijection of elements in tn & a pair of elements of (n+1)

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logic Absorption law show x∧(x∨y)= y

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derivative: If x=cos(log(y)), show that (1-x^2)y2 - xy1 = y

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derivative If y=acos(log(x)) + bsin(log(x)), prove that x^2y2+xy1+y=0

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Which of the following do NOT constitute a set & WHY?

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Alternate way: derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2-xy1=a^2y

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2794 - 百合 / Lily 12 Jun 2025 #NIKKE #百合 #胜利女神 #Lily

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#9 2020 MIT Integration Bee Quali Exam: integral ∫1/cosh^2(x) dx

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Simplify the following statements using only the connectives ∧, ∨ and ¬

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prob stat: A family has 2 children. What is the conditional prob that both are boys ...

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2nd way: arc trig derivative 1/arc tan(x)

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Find the area via Pick's Theorem

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3 ways: exp integral ∫ln(e^x) + ln(e^(-x)) dx

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#2 2024 2nd/2 ways: MIT Integration Bee Qualifying Exam

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