find the length of the following two-dimensional curve.\n\n$\\mathbf{r}(t) = \\langle \\cos^3 t, \\sin^3 t…

find the length of the following two-dimensional curve.\n\n$\\mathbf{r}(t) = \\langle \\cos^3 t, \\sin^3 t \\rangle$, for $0 \\le t \\le \\frac{\\pi}{3}$\n\n$l = \\square$\n(type an exact answer, using radicals as needed.)

find the length of the following two-dimensional curve.\n\n$\\mathbf{r}(t) = \\langle \\cos^3 t, \\sin^3 t \\rangle$, for $0 \\le t \\le \\frac{\\pi}{3}$\n\n$l = \\square$\n(type an exact answer, using radicals as needed.)

Answer

Explanation:

Step1: Identify the arc length formula

$$L = \int_{a}^{b} \sqrt{\left(\frac{dx}{dt}\right)^[LLM SSE On Failure]