a) Find the arc length function for the curve y=ln(sin(x)), 0 (a) Find the arc length function for the curve y =In(sin(x)), 0 < x < T, with starting points(x) =|In csc(x) - cot(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 than2O The arc length function uses x = n as an endpoint, so it gives a length of an arc moving in the negative x direction when x < T.O The arc length function is negative because the derivative of the curve is negative for x < T/2.O The arc length function uses x = /2 as a starting point, so it gives a length of an arc moving in the negative x direction when x <T/2.O The arc length function is negative because the curve is positive for x < n/2.O The arc length function is negative because the curve is negative for x < n/2.

Answered: Image /qna-images/answer/0e851eae-6582-4572-bb3f-265794734c4d.jpg

Answered: (). (a) Find the arc length function…

(). (a) Find the arc length function for the curve y = In(sin(x)), 0 < x < T, with starting point %3D s(x) = In csc(x) - cot (x)|

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

a) Find the arc length function for the curve y=ln(sin(x)), 0

(a) Find the arc length function for the curve y =
In(sin(x)), 0 < x < T, with starting point
s(x) =|
In csc(x) - cot(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
O The arc length function uses x = n as an endpoint, so it gives a length of an arc moving in the negative x direction when x < T.
O The arc length function is negative because the derivative of the curve is negative for x < T/2.
O The arc length function uses x = /2 as a starting point, so it gives a length of an arc moving in the negative x direction when x <
T/2.
O The arc length function is negative because the curve is positive for x < n/2.
O The arc length function is negative because the curve is negative for x < n/2.

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