Compute the length of its path from t 0 to t 5nbsp


Suppose a bird is traveling in a submarine along the path r(t) = <3t Acˆ' 1, cos 2t,sin 2t>

(a) Compute the length of its path from t = 0 to t = 5.

(b) Compute the velocity at time t.

(c) Compute the acceleration at time t.

(d) At time t = A?€/2, is the submarine speeding up, slowing down or traveling at a constant speed? Explain your answer.

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Mathematics: Compute the length of its path from t 0 to t 5nbsp
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