Let L(c) be the length of the parabola f(x) = x 2 from x = 0 to
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Let L(c) be the length of the parabola f(x) = x2 from x = 0 to x = c, where c ≥ 0 is a constant.
a. Find an expression for L and graph the function.
b. Is L concave up or concave down on [0, ∞]?
c. Show that as c becomes large and positive, the arc length function increases as c2; that is, L(c) ≈ kc2, where k is a constant.
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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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