Consider the curve y ln x a Find the length of the curve from x 1 to x a and call it L(a) The change of variables u x 2 1 allows evaluation by partial fractions b Graph L(a) c As a increases, L(a) increases as what power of a ...

Consider the curve y = ln x. a. Find the length of the curve from x =

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Consider the curve y = ln x.

a. Find the length of the curve from x = 1 to x = a and call it L(a). The change of variables u = √x² + 1 allows evaluation by partial fractions.

b. Graph L(a).

c. As a increases, L(a) increases as what power of a?

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a If y In x then d 12 so 1 Thus the arc length is La f dr If we a1 a1 le...View the full answer

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