If pv^a=C (where a & C are constant) find dv/dp & d2v/dp2

Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?

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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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2nd way: integral ∫ log √x(x^n) dx

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

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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Do you know ... in tagalog?

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alternate way: count sum 1 + 2 + 3+... + n via "polynomial"

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U North Texas Integration Bee 2nd way: x^2/√(x-1) dx

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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

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prpob stat A bag contains 5 black balls 6 red balls. Determine the number of ways in which ...

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Pantun Melayu [Buah cempedak di luar pagar]

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sec^4(x)/tan(x) dx

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

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

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If pv^a=C (where a & C are constant) find dv/dp & d2v/dp2

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2 ways: exp derivative ln(e^(x+1/x))

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2 ways: log exp derivative ln(x) e^(2ln(x))

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1st way: trig derivative (sin(x))^x

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Example: Find the sum

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