Alternate way: 2nd picture Show 1+3+5+...+(2n-1)=n^2

STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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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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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3

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multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.

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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5

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#8 2021 MIT Integration Bee Qualifying Exam

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2 ways: derivative (ax+b)^n

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example: Mean, Median & Mode

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prob stat: One sample of n=4 scores has a mean of M=10, &

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#12 2024 MIT Integration Bee Qualifying Exam

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#12 2024 1st/2ways: MIT Integration Bee Qualifying Exam

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UC Davis #6: ∫ (2+tan(x))^2 dx

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partial Let f(x,y,z)=x e^(yz). Compute fxzy & fyxz.

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

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Rutgers U: Verify using calculus

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2nd way: integral 1) ∫1/√(a - √b x^2)dx vs 2) ∫1/√(a - √b x^2) dx

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2nd/2ways: count perm Show P(n,n)=P(n,n-1)

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