Hello Chegg experts. I got this question on an assignment in my calculus II. We

Question

Hello Chegg experts. I got this question on an assignment in my calculus II. We flew by the frenet-serret material, so I could not figure this one out after spending copious amounts of time on it.

Clear step by step info is seriously appreciated. Thanks.

Question: "suppose that r(s) is an arc length parametrized curve such that curvature, k(s) = 1 + s^2, and torsion, t(s) = sin(k(s)). Then the length of the vector d2N/ds2 at s = 1, is?

A) 8.2455

B) 8.77996

C) 8.20014

D) 2.9159

E) 6.41636

F) 1.72698

G) 5.29064

H) 9.91364"

Where d2N/ds2 is the second derivative of the unit normal.

Explanation / Answer

Before starting the actual answer let me tell you that we require Frenet-Serret formula to answer this. If you know what it is then it's good else I am explaining this.

The Frenet

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