Find the lengths of the following curves: y = 2 + 3t, y = t +...

 

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Find the lengths of the following curves: y = 2 + 3t, y = t + sint, a. x = 1 - t b. x = cost x = t³ c. and and e. and y = 2t²/2, - 2/3 ≤ t ≤ 1 0 ≤t≤n 0≤t≤√3 d. x = t²/2 and y = (2t + 1)²/3, 0≤t≤4 x = 8cost + 8t sin t and y = 8 sint - 8t cost, 0 ≤ t ≤π/2 Find the lengths of the following curves: y = 2 + 3t, y = t + sint, a. x = 1 - t b. x = cost x = t³ c. and and e. and y = 2t²/2, - 2/3 ≤ t ≤ 1 0 ≤t≤n 0≤t≤√3 d. x = t²/2 and y = (2t + 1)²/3, 0≤t≤4 x = 8cost + 8t sin t and y = 8 sint - 8t cost, 0 ≤ t ≤π/2