A curve called Cornus spiral is defined by the parametric equations where and are the Fresnel functions

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A curve called Cornu€™s spiral is defined by the parametric equations where and are the


cos(7u/2) du x = C() = = sin(7u/2) du y = S(1)

Fresnel functions that were introduced in Chapter 5
(a) Graph this curve. What happens as t→∞ and as t→ €“ ∞?
(b) Find the length of Cornu€™s spiral from the origin to the point with parameter value t
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