3rd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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picture "proof":Show Σk^2 = ΣΣmin(i,j) where i,j,k=1 to n

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

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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Pantun Melayu [Sorong papan tarik papan]

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

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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

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2 ways: trig Show tan(2x)=2/(cot(x)-tan(x))

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3rd/3ways: sum Show 1+2+3+...+n = n(1+n)/2

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1) integral ∫ 1/(1+x^2) dx 2) integral ∫ e^x/(1+e^(2x)) dx 3) integral ∫ cos(x)/(1+sin^2(x)) dx

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Lamar U: Use log. differentiation to find the 1st derivative of the given function

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2 ways: diff eq Solve dy/dx=y-1

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

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2nd way: trig integral ∫1/(sin(x) cos(x)) dx

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derivative a^(f(x)g(x))^h(x)

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Review: Arithmetic Series a+(a+d)+(a+2d)+...+(a+(n-1)d)=

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

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IGCSE 2023 p2 Add Math #4

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