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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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2 ways: sq root √x^x
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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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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2 ways: sq root derivative 1/(√√(1/√x))
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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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2nd way: integral ∫ log √x(x^n) dx
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trig Write each expression as an equivalent algebraic expression involving only x.
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No one would ever suspect that the sweet and innocent prince would rebel—after all, it's precisely p
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【The Summer When Light Died】Two Souls Drenched in Rain
GPT4: A tweet snippet from Michal Kosinski
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Quickie: Find the value of 4009x3991
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If y=acos(ln(x)) + bsin(ln(x)), show that x^2y2 + xy1 +y=0
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3 ways: exp integral e^(2x)/(1+e^x) dx
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Golden Bamboo Gathering Thunder Formation! This battle is seriously badass!
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Review: Product to Sum Identities
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2nd Alt. way: log Taylor series of ln(sec(x)) withOUT Taylor series explicitly
OSU Math 1151 Practice1: Compute the derivative (1)-(8)
STPM Math T Sem.2: 12.1 Numerical solution of Equations
2nd/3ways: derivative If f(x)=(x-a)(x-b)(x-c), show f'(x)/f(x)=1/(x-1)+1/(x-b)+1/(x-c)