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Screen Recording 2024-05-11 at 8.51.53 PM

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Large sq made up of 100 smaller unit sq. Border of the large sq are colored red. WithOUT counting ..
3:53

Large sq made up of 100 smaller unit sq. Border of the large sq are colored red. WithOUT counting ..

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

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trig Write each expression as an equivalent algebraic expression involving only x.
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trig Write each expression as an equivalent algebraic expression involving only x.

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

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Pantun Melayu [Sorong papan tarik papan]
0:33

Pantun Melayu [Sorong papan tarik papan]

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2nd/3ways: trig integral ∫sec(x) dx
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2nd/3ways: trig integral ∫sec(x) dx

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alternate way: count sum 1 + 2 + 3+... + n via "polynomial"
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alternate way: count sum 1 + 2 + 3+... + n via "polynomial"

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1st/2parts: Linear interpolation (2 given points)
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1st/2parts: Linear interpolation (2 given points)

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2nd/2 ways: Alternate way: Given 2 points, find equation of st line passing the ..
7:44

2nd/2 ways: Alternate way: Given 2 points, find equation of st line passing the ..

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exp log derivative Know the differences ...
4:09

exp log derivative Know the differences ...

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2 ways: Find a formula for d/dx[f^m(x) g^n(x)], where f & g are differentiable functions ...
3:52

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 Alt. way: log Taylor series of ln(sec(x)) withOUT Taylor series explicitly
1:42

2nd Alt. way: log Taylor series of ln(sec(x)) withOUT Taylor series explicitly

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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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COMMON MISTAKE!: directive d/dx(sin(x) cos(x)) ≠ d/dx(sin(x)) d/dx(cos(x))

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

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3 ways: rational function integral ∫2x/(x+1)^2 dx
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3 ways: rational function integral ∫2x/(x+1)^2 dx

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2 ways: exp integral p^(qx+r) dx
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2 ways: exp integral p^(qx+r) dx

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2nd way: trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sin(x)cos(x)cos(4x)cos(8x)cos(16x)cos(32x)cos(64x) dx
6:21

2nd way: trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sin(x)cos(x)cos(4x)cos(8x)cos(16x)cos(32x)cos(64x) dx

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2 ways: Derivative √ (1+√ (1+√ x)))
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2 ways: Derivative √ (1+√ (1+√ x)))

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Derivative 1) tanh(ln(x)) 2) (x^2-1)/(x^2+1)
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Derivative 1) tanh(ln(x)) 2) (x^2-1)/(x^2+1)

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2 ways: trig Prove the identity sin(2x)=2/(tan(x)+cot(x))
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2 ways: trig Prove the identity sin(2x)=2/(tan(x)+cot(x))

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