2nd/2ways: add math sum a + (a+d) + (a+2d) + ... + (a+(n-1)d) ?

Given events J & K:

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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logic Idempotent law show x=xVx

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Pantun Melayu [Buah cempedak di luar pagar]

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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2 ways: integral ∫(a^2-x^2) dx

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2 ways: derivative (ax+b)^n

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Lamar U 2nd way: evaluate exp integral ∫e^(8x)(4+e^(4x))^(-3) dx

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prob stat: A normal 6-sided dice is rolled. What is the prob. that the first '6' occurs:

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2024 #3 MIT Integration Bee Final Lightning Round

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impIicit diff f x^y=y^x, find dy/dx at (2,4)

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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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Lamar U: Use log. differentiation to find the 1st derivative of the given function

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Lamar U 2nd way: evaluate exp integral ∫e^(2x)/(1+e^(2x)) dx

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CMU integral ∫1/(x^2 √(16x^2 -19)) dx

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Which of the following data sets has a median of 3?

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2 ways: Find the derivative y=ln(x) sin(x)

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2 ways: Find the derivative y=a^x logb(x) Calculus

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Median [special weighted mean]

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Fill in each blank using either mean or median.

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