EXAMPLE 3 Flight of an eagle An eagle soars on the ascending spiral path C: r(t) = (x(t). y(t), z(t)) = (2400 cos . 2400 sin 5, 500r where x, y, and z are measured in feet and t is measured in minutes. How far does the eagle fly over the time interval 0 < t < 10?

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A: Taking b as constant. So, we need to solve,            .

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