Question

Ellipse with the equation:

a2x2+b2y2=1
You would like to find the length of the ellipse's arc and determine a point (a, b) where you can evaluate an integral.
To find the length of the ellipse's arc, you can use the formula for the arc length of a parametric curve. If you parameterize the ellipse with the angle θ, the parametric equations are:
x=a cos(θ) y=b sin(θ)

Answer 1

To find the length of the ellipse's arc, you can use the parametric equations x = a cos(θ) and y = b sin(θ), and then evaluate the integral for the arc length using these parametric equations.

Step-by-step explanation:

To find the length of the ellipse's arc, you can use the formula for the arc length of a parametric curve. If you parameterize the ellipse with the angle θ, the parametric equations are:

x = a cos(θ)

y = b sin(θ)

You can then evaluate the integral for the arc length using these parametric equations. Additionally, you can choose a point (a, b) on the ellipse to evaluate the integral.