Use L'Hôpital's Rule (possibly more than once) to evaluate the following limit lim sin (7x)-7x cos(7x) x→0 7x-sin(7x) If the answer equals ∞ or -∞, write INF or -INF in the blank.

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A: The given curve is  y=23(1+x2)3/2,       0≤x≤2

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A: Please see the below picture for detailed solution.

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A: To find a particular solution for the following differential equation.y''+y=8 sin2t

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A: See the answer below

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A: Concept: Applying integration rules ∫xndx=xn+1n+1+C

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A: We can find solution sets.

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A: Here not exist question 16 So i do first two questions

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A: To find length of the curve.

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A: we will find the required.