(a) Find the arc length function for the curve y = In(sin(x)), 0 < x < , with starting point s(x)= = (b) Graph both the curve and its arc length function on the same screen. Why is the arc length function negative when x is less than? 2 The arc length function uses x = π as an endpoint, so it gives a length of an arc moving in the negative x direction when x < it. The arc length function is negative because the curve is negative for x 2. o The arc length function uses x = π/2 as a starting point, so it gives a length of an arc moving in the negative x direction when x < O The arc length function is negative because the derivative of the curve is negative for x < #t/2. The arc length function is negative because the curve is positive for x < π/2.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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(a) Find the arc length function for the curve y = In(sin(x)), 0 < x < π, with starting point
+(2,0).
s(x) =
(b) Graph both the curve and its arc length function on the same screen. Why is the arc length function negative when x is less than ?
2
The arc length function uses x = π as an endpoint, so it gives a length of an arc moving in the negative x direction when x < II.
The arc length function is negative because the curve is negative for x < π/2.
The arc length function uses x = π/2 as a starting point, so it gives a length of an arc moving in the negative x direction when x < π/2.
The arc length function is negative because the derivative of the curve is negative for x < π/2.
The arc length function is negative because the curve is positive for x < π/2.
Transcribed Image Text:(a) Find the arc length function for the curve y = In(sin(x)), 0 < x < π, with starting point +(2,0). s(x) = (b) Graph both the curve and its arc length function on the same screen. Why is the arc length function negative when x is less than ? 2 The arc length function uses x = π as an endpoint, so it gives a length of an arc moving in the negative x direction when x < II. The arc length function is negative because the curve is negative for x < π/2. The arc length function uses x = π/2 as a starting point, so it gives a length of an arc moving in the negative x direction when x < π/2. The arc length function is negative because the derivative of the curve is negative for x < π/2. The arc length function is negative because the curve is positive for x < π/2.
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