- #1
Chris L T521
Gold Member
MHB
- 915
- 0
Thanks again to those who participated in last week's POTW! Here's this week's problem!
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Problem: Find the curvature of the curve with the parametric equations
\[x(t) = \int_0^t \sin\left(\tfrac{1}{2}\pi \theta^2\right)\,d\theta,\qquad y(t) = \int_0^t\cos\left(\tfrac{1}{2}\pi\theta^2\right)\,d\theta\]
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Problem: Find the curvature of the curve with the parametric equations
\[x(t) = \int_0^t \sin\left(\tfrac{1}{2}\pi \theta^2\right)\,d\theta,\qquad y(t) = \int_0^t\cos\left(\tfrac{1}{2}\pi\theta^2\right)\,d\theta\]
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