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AP Calculus BC Problem- Arc Length

Today I would like to give an AP Calculus BC problem involving arc length. I will provide a full explanation for this problem tomorrow. In the meantime, feel free to leave your own solutions in the comments.

Level 2 Arc Length

Find the length of the arc of the curve defined by

x(t) = 1/12 (8+ 16)3/2  and y(t) = t2/2,

from t = 0 to t = 4.

More AP Calculus Problems with Explanations

If you are preparing for one of the AP Calculus exams, you may want to take a look at one of the following books.

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