14. What is the average value of the function f(x) = cos²(x) on the interval [0, π] 1

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Q: dx So 5x + 1 5x+1

A: ∫0315x+1dxLet u=5x+1.=∫11615udu=15·∫1161udu=15lnu116=15· 4ln2=45ln2

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Q: 6 Find the particular antiderivative F(x) of f(x) = that satisfies F(1) = 5.

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A: Let's find amplitude, period and phase shift.

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Q: Hello Please double check the answer

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A: Explanation of the answer is as follows

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Q: 10) Test the series for convergence or divergence 7(-e) Use Divergence test identify the…

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A: Given, ∫0πsin4dx=38π

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Q: 3. Tim ( x ²-1 x2-3x+2/

A: use L'hospital rule limx→1(x2-1x2-3x+2)=limx→1∂ ∂x(x2-1)∂ ∂x(x2-3x+2)∂xn∂x=nxn-1

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Q: COMPUTE: 5. r' (t)

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Q: Combine into a single logarithm: -2log(x) + log(x + 1) + 5log(y)

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