?For the following exercises, use Green’s theorem to find the area.Find the area of the

Chapter 6, Problem 163

(choose chapter or problem)

For the following exercises, use Green’s theorem to find the area.

Find the area of the region bounded by hypocycloid \(\mathbf{r}(t)=\cos ^{3}(t) \mathbf{i}+\sin ^{3}(t) \mathbf{j}\). The curve is parameterized by t ∈ [0, 2π].

Text Transcription:

\mathbf{r}(t)=\cos ^{3}(t) \mathbf{i}+\sin ^{3}(t) \mathbf{j}