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Screen Recording 2024-03-02 at 11.52.18 PM

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Find the median of 4,6,8,...,296
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Find the median of 4,6,8,...,296

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

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

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.
2:30

1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^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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count quick review: Permutation vs Combination
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count quick review: Permutation vs Combination

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logic: tautology (¬p→q)∧(¬p→¬q) →p
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logic: tautology (¬p→q)∧(¬p→¬q) →p

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Penn. State U: Suppose the p.m.f of discrete random variable X is ...
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Penn. State U: Suppose the p.m.f of discrete random variable X is ...

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1st/2 parts stat: SLR ∑ŷk = ∑yk where k=1,n
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1st/2 parts stat: SLR ∑ŷk = ∑yk where k=1,n

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Example: Find the sum
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Example: Find the sum

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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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3 ways: If y=x/(1+x^2) find dy/dx.
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3 ways: If y=x/(1+x^2) find dy/dx.

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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable
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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

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trig integral ∫1/(√sin(x) √cos^7(x)) dx
2:46

trig integral ∫1/(√sin(x) √cos^7(x)) dx

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sq root integral ∫1/√...√√x dx with n √
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sq root integral ∫1/√...√√x dx with n √

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Pure Math: Calculate the coordinates of the two points on the curve
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Pure Math: Calculate the coordinates of the two points on the curve

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Growing patterns #3
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Growing patterns #3

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hyper trig integral ∫cosh(x) a^(logb(sinh(x)) ))dx
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hyper trig integral ∫cosh(x) a^(logb(sinh(x)) ))dx

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