derivative Find dy/dx, y^x+x^y+x^x=a^b

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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

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GPT4: A tweet snippet from Michal Kosinski

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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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6th form Pure Math: Evaluate the integrals

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A bag contains 20 identical red marbles, 20 identical green marbles, & 20 identical blue marbles.

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trig integral a) ∫csc^2(x) dx

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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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trig integral ∫sec(x) dx =

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Find the expected value & the variance of a geometric r.v. X

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2 ways: derivative (ax+b)^n

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Tatsuki Fujimoto 17_26 - 01

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prob stat: x̄=∑xk where k=1,2,3,...,n?

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2nd/3ways: sum Show 1+2+3+...+n=n(1+n)/2

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Pascal's triangle nth triangular number [examples]

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2nd way: Evaluate ∫a/(b+ce^x)dx

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

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2 ways: Determine the derivative of (ax+b)^n

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【Eng Sub】From Loser to Hero

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