5. Evaluate the indefinite integral cos 2x x²+1 dx. Fully justify all steps in your solution.

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Q: 17. y" + 3y" + 3y + y = 0, y(0) = 0, y'(0) = 1, y" (0) = 0

A: When the roots of  auxiliary equation are same:

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A: Q-22  y=sin t +cos ty=2 (sint 12+cost 12)y=2 (cost cos π4+ sint sinπ4)y=2  cos(t-π4)y=2  e0t…

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A: Given that   x̄ = 100  ,  μ = 82  ,   S = 15.1  , n =20

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Q: Exercises 1-15: (a) Find the general solution of the differential equation. (b) Impose the initial…

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Q: Can the integral test be used on series: E to (1+e")? en n=0

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Q: - 0.287). This means ance that a pair of rande

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Q: 6. SCx) = 2Y-4 A.find the holizontal Asym tote b. fina the ver ticenl asympote . find the y-intereft…

A: Given that: S(x)=2x-4x2+x-2

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Q: 15. If PO = 4x+2, QR = 7x-19, and QU = 34, find ST.

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A: Matched pairs test We use matched pair test when there are pair of samples are given from same…

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Q: Find the interquartile range.

A: here ascending order of given data ,3, 4, 6, 9, 9, 10, 12, 12, 13, 21, 27, 29, 30, 31, 32, 33, 35,…

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A: As we know that, the limit limx→af(x) exists only when limx→a-f(x)=limx→a+f(x)

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Q: 3. y4) + 4y" = 0; y(0) = 0, y'(0) = -1, y₁ (t) = 1, y₂ (t)=t, y3(t) = cos 2t, y'(0)=-4, y" (0) = 8…

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