If f(θ) is given by: f(θ)=6cos^3θ and g(θ) is given by: g(θ)=6sin^3θ
Find the total length of the astroid described by f(θ) and g(θ).
(The astroid is the curve swept out by (f(θ), g(θ)) as θ ranges from 0 to 2pi)
Please see attach file.
Let , ss you can check, its Cartesian equation is .
It is trace exactly ...
The expert finds the total length of the asteroid. The total length of ranges are given.