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GPT4: A tweet snippet from Michal Kosinski

3 ViewsJun 25, 2023

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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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 derivative 1/(√√(1/√x))
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2 ways: sq root derivative 1/(√√(1/√x))

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prob stat: One sample of n=4 scores has a mean of M=10, &
5:14

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

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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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Pantun Melayu [Buah cempedak di luar pagar]
0:28

Pantun Melayu [Buah cempedak di luar pagar]

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
2:09

MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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integral ∫ x dx withOUT using Power rule.
1:32

integral ∫ x dx withOUT using Power rule.

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Pantun Melayu [Sorong papan tarik papan]
0:33

Pantun Melayu [Sorong papan tarik papan]

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Show that ar sinh(x) = ln(x + √ (x^2+1))
4:20

Show that ar sinh(x) = ln(x + √ (x^2+1))

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Lost in Starlight (1080p ) Hindi Full
1:38:27

Lost in Starlight (1080p ) Hindi Full

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trig integral ∫sin^(-2/3)(x) cos^3(x) dx
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trig integral ∫sin^(-2/3)(x) cos^3(x) dx

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#8 2021 MIT Integration Bee Qualifying Exam
3:30

#8 2021 MIT Integration Bee Qualifying Exam

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set Show X∩ ((Y∪ X') ∩ Y') = ∅
2:19

set Show X∩ ((Y∪ X') ∩ Y') = ∅

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2 ways: exp derivative a^(logb(cos(px+q))
3:38

2 ways: exp derivative a^(logb(cos(px+q))

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4 ways: derivative x(log(x)-1)
3:55

4 ways: derivative x(log(x)-1)

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prob stat: For events A & B it is known that P(A)=P(B), P(AnB)=0.1 & P(AuB)=0.7. Find P(A')
1:14

prob stat: For events A & B it is known that P(A)=P(B), P(AnB)=0.1 & P(AuB)=0.7. Find P(A')

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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3
4:36

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

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2nd way: lim ((1+h)^3-1)/x? as h →0
1:22

2nd way: lim ((1+h)^3-1)/x? as h →0

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#14 2011 MIT Integration Bee Qualifying Exam
1:34

#14 2011 MIT Integration Bee Qualifying Exam

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Show integral 1/(x^2(x^2+a^2)) dx = -1/(a^2x) - 1/a^3 arc tan(x/a)
2:28

Show integral 1/(x^2(x^2+a^2)) dx = -1/(a^2x) - 1/a^3 arc tan(x/a)

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