I need it asap

1. ARC LENGTH FORMULA Theorem 1 (Are Length). If f is a continuously dierentiable on [(1,1)], then the length of y = W) is L: / x/l+[f'(t)]2dt. 2. HOMEWORK (1) Let C be the curve y = 5m\" where 1 S a: g 4. (a) Find the length of C. (b) Find the distance between the endpoints of the curve C. (c) By how many per cent is the length of C greater than the distance between the endpoints of C? (2) Find the length of y = sint on [0, 7r] (ok to use Wolframalpha to evaluate the integral). (3) Find the length of y = 3:2 on [0, 1] (ok to use Wolframalpha) (4) Find the length of the curve y = LE2 v3t4 1dt on 3: E [2, 1]. (5) Find a formula for arc length of y = 3t 2 from t = 0 to t = 2:. (6) Discuss on canvas but do not submit. Divide [2,2] into (a) 10 subintervals (b) 1000 subintervals of the same length. Then use this division to nd an aproximation of the length of the upper portion of the ellipse :02 + 2y2 = 4. Share your gcogle spreadsheet, or any other code that allowed you to get an approximation