Find the equation of the curve that passes through the point (x, y) = (0, 0) and has an arc length on the

Question

Find the equation of the curve that passes through the point (x, y) = (0, 0) and has an arc length on the interval  given by the integral  . (5 points)

answer choices

	y = sin(x)
	y = cos(x)
	y = cos-1(x)
	y = tan(x)

Answer 1

The equation for the arc length of a function is:

The function whose derivative is cos(x) is sin(x). so the function is y = sin(x)

Answer 2

As part of the arc integral, (dy/dx)² = cos²(x), so dy/dx = cos(x) --> y = sin(x)