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2nd/3 parts: Growing patterns

0 ViewJul 24, 2023

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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: sq root derivative 1/(√√(1/√x))
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2 ways: sq root derivative 1/(√√(1/√x))

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Pantun Melayu [Buah cempedak di luar pagar]
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Pantun Melayu [Buah cempedak di luar pagar]

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logic Idempotent law show x=xVx
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logic Idempotent law show x=xVx

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trig Write each expression as an equivalent algebraic expression involving only x.
1:56

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

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2nd way: integral ∫ log √x(x^n) dx
1:00

2nd way: integral ∫ log √x(x^n) dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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5 ways: integral ∫a^(px+q) dx
4:42

5 ways: integral ∫a^(px+q) dx

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2nd/2parts: Linear interpolation (2 given points)
9:42

2nd/2parts: Linear interpolation (2 given points)

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3rd/3 ways: Alternate way: Given 2 points, find equation of st line passing the ..
8:31

3rd/3 ways: Alternate way: Given 2 points, find equation of st line passing the ..

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prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.
4:48

prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.

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impIicit diff f x^y=y^x, find dy/dx at (2,4)
3:05

impIicit diff f x^y=y^x, find dy/dx at (2,4)

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#9 2010 MIT Integration Bee Qualifying Exam
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#9 2010 MIT Integration Bee Qualifying Exam

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integral ∫(x^2+2x)/(x^2+2x+2) dx
1:22

integral ∫(x^2+2x)/(x^2+2x+2) dx

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COMMON MISTAKE!: exp derivative d/dx(a^x) ≠ x a^(x-1)
2:41

COMMON MISTAKE!: exp derivative d/dx(a^x) ≠ x a^(x-1)

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4 ways: Evaluate Σ(2k+1) k=1,20
5:19

4 ways: Evaluate Σ(2k+1) k=1,20

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3 ways: Derivative x^(-1/x)
4:47

3 ways: Derivative x^(-1/x)

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2010 Raytheon MATHCOUNTS National Competition
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2010 Raytheon MATHCOUNTS National Competition

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prob stat: The discrete r.v. W has prob dist. as shown
2:06

prob stat: The discrete r.v. W has prob dist. as shown

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1st/2 ways: integral ∫1/(x(x^n -1)) dx
2:33

1st/2 ways: integral ∫1/(x(x^n -1)) dx

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