Consider the curve y = ln x. a. Find the length of the curve from x =
Question:
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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Related Book For 
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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