Set up, but do not evaluate, the integral for the arc length…

Set up, but do not evaluate, the integral for the arc length of the parametric curve defined by x ( t ) = 1 3 t 3 y ( t ) = 1 2 t 2 t ∈ [ 0 , 4 ] {“version”:”1.1″,”math”:”\begin{align*} x(t) &= \frac{1}{3} t^3 \\[5pt] y(t) &= \frac{1}{2} t^2 \\[10pt] t &\in [0,4] \end{align*}”}(Show all sufficient work in steps and use the technique or method discussed in this course.)

Find the interval of convergence for the following series. M…

Find the interval of convergence for the following series. Make sure to test the endpoints of your interval. ∑ n = 1 ∞ ( − 1 ) n x n n + 3 {“version”:”1.1″,”math”:”\sum\limits_{n=1}^\infty (-1)^n \frac{x^n}{\sqrt{n+3}}”}(Show all sufficient work in steps and use the technique or method discussed in this course.)