The curve known as the Bernoulli spiral (Figure 7) has parametrization r(t) = (e t cos 4

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The curve known as the Bernoulli spiral (Figure 7) has parametrization r(t) = (e^tcos 4^t, e^t sin 4t).

(a) Evaluate s(1) = (u) du. It is convenient to take lower limit-o because _lim_r(1) = (0,0). (b) Use (a) to

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The curve known as the Bernoulli spiral (Figure 7) has parametrization r(t) = (e t cos 4

Question:

(a) Evaluate s(1) = ||' (u) du. It is convenient to take lower limit -co because _lim_r(1) = (0,0). -8 (b) Use (a) to find an arc length parametrization of the spiral. -10 t = 2 t=0 20 X

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Calculus

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