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[歌曲 02]Lights Off
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logic Idempotent law show x=xVx
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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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trig Write each expression as an equivalent algebraic expression involving only x.
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Review: Linear form, Quadratic form & Bilinear form
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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Hum Tumhare Hain Sanam by Salman Khan, Shah Rukh Khan & Madhuri Dixit (2002)
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COMMON MISTAKE!: directive d/dx(sin(x) cos(x)) ≠ d/dx(sin(x)) d/dx(cos(x))
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Diff Equ: Solve y-xdy/dx=b(1+x^2dy/dx)) via integrating factor [IF]
4th/4ways: trig derivative sin(x)
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2 ways: Find a formula for d/dx[f^m(x) g^n(x)], where f & g are differentiable functions ...
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2nd Alternate trig ∫integral sin(x) dx
Wanna know function that is NEITHER even NOR odd? Here you go ...
A bag contains 20 identical red marbles, 20 identical green marbles, & 20 identical blue marbles.
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Alternate way: trig integral ∫cos(x) dx
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STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]
2 ways: sq root √x^x
log derivative ln(x) via chain rule
2nd/2 parts: sum Find the sum 2,3,14,24,37,... nth term