2nd/2ways: Find lim (z^3-8)/(z-2) for z tends to 2

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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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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lim x/e^x? as x→∞

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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

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Naruto,

Benjamin Quebral

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prob stat: x̄=∑xk where k=1,2,3,...,n?

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

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

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trig Show tan(x/2) = ...

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

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3 ways: trig integral 1/(1+cos(x)) dx

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1st/2ways: trig integra ∫sin(2x)/(1+cos^2(x)) dx

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NUS MA1102R: Find ALL second-order partial derivatives of f(x,y) = x^2 y -y^3 + ln(x)

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

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prob stat: Show if y=ax+b where a & b are constants then ȳ = ax̄ + b

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Review: trig sin(x+90)= cos(x) & cos(x+90)=-sin(x)

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2024 #3 MIT Integration Bee Final Lightning Round

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