4. a) Find the arc length of the function y = ln(1 - x²) in the interval [0, 1]. b) Find the function f(x) so that, for x ≥ 0, its arc length in the interval [0, x] is equal to 2x+f(x).

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A: Given curve is Differentiating with respect to x, we get

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Q: a) Find an equation for the tangent line to the curve y= 2/x at the point (2, 1) on this curve.

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Q: Determine r (x) if r(x) = (arccot(x))".

A:

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A:

Q: (1 point) Find y as a function of t if 36y" – 81y = 0,

A: y=76 e3t-122-16 e-3t+122